{"id":7,"date":"2010-10-21T15:19:22","date_gmt":"2010-10-21T15:19:22","guid":{"rendered":"http:\/\/lptms.u-psud.fr\/olivier_giraud\/"},"modified":"2026-03-20T16:41:23","modified_gmt":"2026-03-20T16:41:23","slug":"publications","status":"publish","type":"page","link":"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"<ul>\n<li style=\"list-style-type: none\">\n<ul>\n<li style=\"list-style-type: none\">\n<ul>\n<li style=\"list-style-type: none\">\n<ul>\n<li style=\"list-style-type: none\">\n<ul>\n<li><strong>Periodic orbits contribution to the 2-point correlation form factor for pseudo-integrable systems<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My001.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nE. Bogomolny, O. Giraud and C. Schmit, <a href=\"https:\/\/doi.org\/10.1007\/s002200100516\">Commun. Math. Phys. <strong>222<\/strong>, 327-369 (2001)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/nlin\/0101008\">nlin\/0101008<\/a><\/li>\n<li><strong>Semiclassical Calculations of the Two-Point Correlation Form Factor for Diffractive Systems<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My002.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nE. Bogomolny and O. Giraud, <a href=\"http:\/\/iopscience.iop.org\/0951-7715\/15\/4\/302\/\">Nonlinearity <strong>15<\/strong> Vol. 4, 993-1018 (2002)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/nlin\/0110006\">nlin\/0110006<\/a><\/li>\n<li><strong>Nearest-Neighbor Distribution for Singular Billiards<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My003.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nE. Bogomolny, O. Giraud and C. Schmit, <a href=\"http:\/\/pre.aps.org\/abstract\/PRE\/v65\/i5\/e056214\">Phys. Rev. E <strong>65<\/strong>, 056214 (2002)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/nlin\/0112028\">nlin\/0112028<\/a><\/li>\n<li><strong>Statistiques spectrales des syst\u00e8mes diffractifs<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2019\/10\/these_giraud.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nO. Giraud, PhD thesis (2002) (in French)<\/li>\n<li><strong>Diffractive orbits in isospectral billiards<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My004.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nO. Giraud, <a href=\"http:\/\/iopscience.iop.org\/0305-4470\/37\/7\/016\/\">J. Phys. A\u00a0: Math. Gen. <strong>37<\/strong> nr 7, 2751-2764 (2004)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/nlin\/0312045\">nlin\/0312045<\/a><\/li>\n<li><strong>Shrunk loop theorem for the topology probabilities of closed Brownian (or Feynman) paths on the twice punctured plane<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My005.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nO. Giraud, A. Thain and J. H. Hannay, <a href=\"http:\/\/iopscience.iop.org\/0305-4470\/37\/8\/005\/\">J. Phys. A\u00a0: Math. Gen. <strong>37<\/strong> nr 8, 2913-2935 (2004)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/nlin\/0312047\">nlin\/0312047<\/a><\/li>\n<li><strong>Intermediate statistics in quantum maps<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My006.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nO. Giraud, J. Marklof and S. O\u2019Keefe, <a href=\"http:\/\/iopscience.iop.org\/0305-4470\/37\/28\/L01\/\">J. Phys. A\u00a0: Math. Gen. <strong>37<\/strong> nr 28, L303-L311 (2004)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/nlin\/0403033\">nlin\/0403033<\/a><\/li>\n<li><strong>Periodic orbits and semiclassical form factor in barrier billiards<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My007.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nO. Giraud, <a href=\"https:\/\/doi.org\/10.1007\/s00220-005-1412-8\">Commun. Math. Phys. <strong>260<\/strong> nr 1, 183 &#8211; 201 (2005)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/nlin\/0503067\">nlin\/0503067<\/a><\/li>\n<li><strong>Finite geometries and diffractive orbits in isospectral billiards<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My008.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nO. Giraud, <a href=\"http:\/\/iopscience.iop.org\/0305-4470\/38\/27\/L01\/\">J. Phys. A\u00a0: Math. Gen. <strong>38<\/strong>, L477-L483 (2005)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/nlin\/0503069\">nlin\/0503069<\/a><\/li>\n<li><strong>Quantum computing of delocalization in smallworld networks<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My009.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nO. Giraud, B. Georgeot and D. Shepelyansky, <a href=\"http:\/\/pre.aps.org\/abstract\/PRE\/v72\/i3\/e036203\">Phys. Rev. E <strong>72<\/strong>, 036203 (2005)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/quant-ph\/0503188\">quant-ph\/0503188<\/a><\/li>\n<li><strong>Intermediate quantum maps for quantum computation<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My010.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nO. Giraud and B. Georgeot, <a href=\"http:\/\/pra.aps.org\/abstract\/PRA\/v72\/i4\/e042312\">Phys. Rev. A <strong> 72<\/strong>, 042312 (2005)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/quant-ph\/0504230\">quant-ph\/0504230<\/a><\/li>\n<li><strong>Distribution of bipartite entanglement for random pure states<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My011.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nO. Giraud, <a href=\"http:\/\/iopscience.iop.org\/1751-8121\/40\/11\/014\/\">J. Phys. A\u00a0: Math. Theor. <strong> 40<\/strong>, 2793-2801 (2007)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/quant-ph\/0611285\">quant-ph\/0611285<\/a><\/li>\n<li><strong>Entanglement of localized states<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My012.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nO. Giraud, J. Martin, and B. Georgeot, <a href=\"http:\/\/pra.aps.org\/abstract\/PRA\/v76\/i4\/e042333\">Phys. Rev. A <strong> 76<\/strong>, 042333 (2007)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/0704.2765\">0704.2765<\/a><\/li>\n<li><strong>Purity distribution for bipartite random pure states<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My013.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nO. Giraud, <a href=\"http:\/\/iopscience.iop.org\/1751-8121\/40\/49\/F03\/\">J. Phys. A\u00a0: Math. Theor. <strong> 40<\/strong>, F1053-F1062 (2007)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/0710.2045\">0710.2045<\/a><\/li>\n<li><strong>Multifractality and intermediate statistics in quantum maps<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My014.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nJ. Martin, O. Giraud, B. Georgeot, <a href=\"http:\/\/pre.aps.org\/abstract\/PRE\/v77\/i3\/e035201\">Phys. Rev. E<strong> 77<\/strong>, 035201(R) (2008)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/0711.2029\">0711.2029<\/a><\/li>\n<li><strong>Optimal number of controlled-NOT gates to generate a three-qubit state<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My015.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nM.\u00a0Znidaric, O. Giraud and B. Georgeot, <a href=\"http:\/\/pra.aps.org\/abstract\/PRA\/v77\/i3\/e032320\">Phys. Rev. A <strong> 77<\/strong>, 032320 (2008)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/0711.4021\">0711.4021<\/a><\/li>\n<li><strong>Quantum computing of semiclassical formulas<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My016.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nB. Georgeot and O. Giraud, <a href=\"http:\/\/pre.aps.org\/abstract\/PRE\/v77\/i4\/e046218\">Phys. Rev. E <strong> 77<\/strong>, 046218 (2008)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/0801.4660\">0801.4660<\/a><\/li>\n<li><strong>Classicality of spin states<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My017.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nO. Giraud, P. Braun, and D. Braun, <a href=\"http:\/\/pra.aps.org\/abstract\/PRA\/v78\/i4\/e042112\">Phys. Rev. A <strong>78<\/strong>, 042112 (2008)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/0805.2592\">0805.2592<\/a><\/li>\n<li><strong>Entropy of entanglement and multifractal exponents for random states<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My018.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nO. Giraud, J. Martin, and B. Georgeot , <a href=\"http:\/\/pra.aps.org\/abstract\/PRA\/v79\/i3\/e032308\">Phys. Rev. A <strong>79<\/strong>, 032308 (2009)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/0807.3716\">0807.3716<\/a><\/li>\n<li><strong>Quantum computation of multifractal exponents through the quantum wavelet transform<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My019.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nI. Garcia-Mata, O. Giraud, and B. Georgeot, <a href=\"http:\/\/pra.aps.org\/abstract\/PRA\/v79\/i5\/e052321\">Phys. Rev. A <strong>79<\/strong>, 052321 (2009)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/0901.0108\">0901.0108 <\/a><\/li>\n<li><strong>Quantum circuit for three-qubit random states<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My020.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nO. Giraud, M.\u00a0Znidaric, and B. Georgeot, <a href=\"http:\/\/pra.aps.org\/abstract\/PRA\/v80\/i4\/e042309\">Phys. Rev. A <strong>80<\/strong>, 042309 (2009)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/0903.4109\">0903.4109 <\/a><\/li>\n<li><strong>Delocalization transition for the Google matrix<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My021.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nO. Giraud, B. Georgeot, and D. L. Shepelyansky, <a href=\"http:\/\/pre.aps.org\/abstract\/PRE\/v80\/i2\/e026107\">Phys. Rev. E <strong>80<\/strong>, 026107 (2009)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/0903.5172\">0903.5172 <\/a><\/li>\n<li><strong>Random matrix ensembles associated with Lax matrices<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My022.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nE. Bogomolny, O. Giraud, and C. Schmit, <a href=\"http:\/\/prl.aps.org\/abstract\/PRL\/v103\/i5\/e054103\">Phys. Rev. Lett. <strong>103<\/strong>, 054103 (2009)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/0904.4898\">0904.4898 <\/a><\/li>\n<li><strong>Entanglement and localization of wavefunctions<\/strong> <a href=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/proc001.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nO. Giraud, J. Martin, and B. Georgeot, in <a href=\"https:\/\/doi.org\/10.1007\/978-90-481-3120-4_5\"><em>Complex Phenomena in Nanoscale Systems<\/em>, NATO Science for Peace and Security Series B\u00a0: Physics and Biophysics (Springer Netherlands), 51-63 (2009)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/0907.3389\">0907.3389 <\/a><\/li>\n<li><strong>Quantifying Quantumness and the Quest for Queens of Quantum<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My023.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nO. Giraud, P. Braun, and D. Braun, <a href=\"http:\/\/stacks.iop.org\/1367-2630\/12\/063005\">New J. Phys. <strong>12<\/strong>, 063005 (2010)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/1002.2158\">1002.2158 <\/a><\/li>\n<li><strong>Spectral properties of the Google matrix of the World Wide Web and other directed networks<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My024.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nB. Georgeot, O. Giraud, and D. L. Shepelyansky, <a href=\"http:\/\/pre.aps.org\/abstract\/PRE\/v81\/i5\/e056109\">Phys. Rev. E <strong>81<\/strong>, 056109 (2010)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/1002.3342\">1002.3342 <\/a><\/li>\n<li><strong>Multiqubit symmetric states with high geometric entanglement<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My025.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nJ. Martin, O. Giraud, P. A. Braun, D. Braun, and T. Bastin, <a href=\"http:\/\/pra.aps.org\/abstract\/PRA\/v81\/i6\/e062347\">Phys. Rev. A <strong>81<\/strong>, 062347 (2010)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/1003.0593\">1003.0593 <\/a><\/li>\n<li><strong>Quantum algorithm for exact Monte Carlo sampling<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My026.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nN. Destainville, B. Georgeot, and O. Giraud, <a href=\"http:\/\/prl.aps.org\/abstract\/PRL\/v104\/i25\/e250502\">Phys. Rev. Lett. <strong>104<\/strong>, 250502 (2010)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/1003.1862\">1003.1862 <\/a><\/li>\n<li><strong>Multifractal wave functions of simple quantum maps<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My027.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nJ. Martin, I. Garcia-Mata, O. Giraud, and B. Georgeot, <a href=\"http:\/\/pre.aps.org\/abstract\/PRE\/v82\/i4\/e046206\">Phys. Rev. E <strong>82<\/strong>, 046206 (2010)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/1007.1404\">1007.1404 <\/a><\/li>\n<li><strong>Hearing shapes of drums : Mathematical and physical aspects of isospectrality<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My028.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nO. Giraud and K. Thas, <a href=\"http:\/\/rmp.aps.org\/abstract\/RMP\/v82\/i3\/p2213_1\"> Rev. Mod. Phys. <strong>82<\/strong>, 2213 (2010)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/1101.1239\">1101.1239 <\/a><\/li>\n<li><strong>Eigenfunction entropy and spectral compressibility for critical random matrix ensembles<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My029.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nE. Bogomolny and O. Giraud, <a href=\"http:\/\/prl.aps.org\/abstract\/PRL\/v106\/i4\/e044101\">Phys. Rev. Lett. <strong>106<\/strong>, 044101 (2011)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/1011.3686\">1011.3686 <\/a><\/li>\n<li><strong>Integrable random matrix ensembles<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My030.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nE. Bogomolny, O. Giraud, and C. Schmit, <a href=\"http:\/\/iopscience.iop.org\/0951-7715\/24\/11\/010\">Nonlinearity <strong>24<\/strong>, 3179 (2011)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/1104.3777\">1104.3777\u00a0<\/a><\/li>\n<li><strong>The game of go as a complex network<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My031.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nB. Georgeot and O. Giraud, <a href=\"http:\/\/iopscience.iop.org\/0295-5075\/97\/6\/68002\"> EPL <strong>97<\/strong>, 68002 (2012)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/1105.2470\">1105.2470<\/a><\/li>\n<li><strong>Perturbation approach to multifractal dimensions for certain critical random matrix ensembles<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My032.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nE. Bogomolny and O. Giraud, <a href=\"http:\/\/pre.aps.org\/abstract\/PRE\/v84\/i3\/e036212\">Phys. Rev. E <strong>84<\/strong>, 036212 (2011)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/1106.5898\">1106.5898 <\/a><\/li>\n<li><strong>Parametrization of spin-1 classical states<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My033.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nO. Giraud, P. Braun, and D. Braun, <a href=\"http:\/\/pra.aps.org\/abstract\/PRA\/v85\/i3\/e032101\">Phys. Rev. A <strong>85<\/strong>, 032101 (2012)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/1110.0325\">1110.0325<\/a><\/li>\n<li><strong>Multifractal dimensions for all moments for certain critical random matrix ensembles in the strong multifractality regime<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My034.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nE. Bogomolny and O. Giraud, <a href=\"http:\/\/pre.aps.org\/abstract\/PRE\/v85\/i4\/e046208\">Phys. Rev. E <strong>85<\/strong>, 046208 (2012)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/1112.2164\">1112.2164<\/a><\/li>\n<li><strong>Multifractality of quantum wave packets<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My035.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nI. Garcia-Mata, J. Martin, O. Giraud, and B. Georgeot, <a href=\"http:\/\/pre.aps.org\/abstract\/PRE\/v86\/i4\/e056215\">Phys. Rev. E <strong>86<\/strong>, 056215 (2012)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/1207.1675\">1207.1675<\/a><\/li>\n<li><strong> Distribution of the ratio of consecutive level spacings in random matrix ensembles <\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My036.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nY. Y. Atas, E. Bogomolny, O. Giraud, and G. Roux,\u00a0 <a href=\"http:\/\/prl.aps.org\/abstract\/PRL\/v110\/i8\/e084101\">Phys. Rev. Lett. <strong>110<\/strong>, 084101 (2013)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/1212.5611\">1212.5611 <\/a><\/li>\n<li><strong>Joint probability densities of level spacing ratios in random matrices<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My037.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nY. Y. Atas, E. Bogomolny, O. Giraud, P. Vivo, and E. Vivo, <a href=\"http:\/\/iopscience.iop.org\/1751-8121\/46\/35\/355204\/\">J. Phys. A\u00a0: Math. Theor. <strong> 46<\/strong>, 355204 (2013)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/1305.7156\">1305.7156 <\/a><\/li>\n<li><strong>A universal set of qubit quantum channels<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My038.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nD. Braun, O. Giraud, I. Nechita, C. Pellegrini, and M. Znidaric, <a href=\"http:\/\/iopscience.iop.org\/1751-8121\/47\/13\/135302\/\">J. Phys. A : Math. Theor. <strong> 47<\/strong>, 135302 (2014)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/1306.0495\">1306.0495 <\/a><\/li>\n<li><strong>Calculation of mean spectral density for statistically uniform tree-like random models<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My039.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nE. Bogomolny and O. Giraud, <a href=\"http:\/\/pre.aps.org\/abstract\/PRE\/v88\/i6\/e062811\">Phys. Rev. E <strong>88<\/strong>, 062811 (2013)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/1310.1299\">1310.1299<\/a><\/li>\n<li><strong>Two scenarios for quantum multifractality breakdown<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My040.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nR. Dubertrand, I. Garc\u00eda-Mata, B. Georgeot, O. Giraud, G. Lemari\u00e9, and J. Martin, <a href=\"http:\/\/journals.aps.org\/prl\/abstract\/10.1103\/PhysRevLett.112.234101\">Phys. Rev. Lett. <strong>112<\/strong>, 234101 (2014)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/1402.1658\">1402.1658<\/a><\/li>\n<li><strong>Move ordering and communities in complex networks describing the game of go<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My041.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nV. Kandiah, B. Georgeot and O. Giraud, <a href=\"http:\/\/dx.doi.org\/10.1140\/epjb\/e2014-50497-1\">Eur. Phys. J. B <strong>87<\/strong>, 246 (2014)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/1405.6077\">1405.6077<\/a><\/li>\n<li><strong> High values of disorder-generated multifractals and logarithmically correlated processes<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My042.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nY. V. Fyodorov and O. Giraud, <a href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0960077914002082\">Chaos, Solitons &amp; Fractals <strong>74<\/strong>, 15 (2015)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/1407.4035\">1407.4035<\/a><\/li>\n<li><strong>Tensor representation of spin states<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My043.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nO. Giraud, D. Braun, D. Baguette, T. Bastin, and J. Martin, <a href=\"http:\/\/journals.aps.org\/prl\/abstract\/10.1103\/PhysRevLett.114.080401\">Phys. Rev. Lett. <strong>114<\/strong>, 080401 (2015)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/1409.1106\">1409.1106<\/a><\/li>\n<li><strong>Multifractality of quantum wave functions in the presence of perturbations<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My044.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nR. Dubertrand, I. Garc\u00eda-Mata, B. Georgeot, O. Giraud, G. Lemari\u00e9, and J. Martin, <a href=\"http:\/\/journals.aps.org\/pre\/abstract\/10.1103\/PhysRevE.92.032914\">Phys. Rev. E <strong>92<\/strong>, 032914 (2015)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/1506.05720\">1506.05720<\/a><\/li>\n<li><strong>Critical systems and quantum multifractality<\/strong><br \/>\nO. Giraud, <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2019\/10\/hdr_giraud.pdf\" target=\"_blank\" rel=\"noopener\">Habilitation thesis<\/a> (2015)<\/li>\n<li><strong>Anticoherence of spin states with point group symmetries<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My045.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nD. Baguette, F. Damanet, O. Giraud, and J. Martin, <a href=\"http:\/\/journals.aps.org\/pra\/abstract\/10.1103\/PhysRevA.92.052333\">Phys. Rev. A <strong>92<\/strong>, 052333 (2015)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/1509.08300\">1509.08300<\/a><\/li>\n<li><strong>Quantumness of spin-1 states<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My046.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nF. Bohnet-Waldraff, D. Braun, and O. Giraud, <a href=\"http:\/\/journals.aps.org\/pra\/abstract\/10.1103\/PhysRevA.93.012104\">Phys. Rev. A <strong>93<\/strong>, 012104 (2016).<br \/>\n<\/a><a href=\"http:\/\/arxiv.org\/abs\/1510.07848\">1510.07848<\/a><\/li>\n<li><strong> Average diagonal entropy in non-equilibrium isolated quantum systems<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My047.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nI. Garc\u00eda-Mata and O. Giraud, <a href=\"http:\/\/link.aps.org\/doi\/10.1103\/PhysRevE.94.012122\">Phys. Rev. E <strong>94<\/strong>, 012122 (2016).<br \/>\n<\/a><a href=\"http:\/\/arxiv.org\/abs\/1603.01624\">1603.01624<\/a><\/li>\n<li><strong>Partial transpose criteria for symmetric states<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My048.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nF. Bohnet-Waldraff, D. Braun, and O. Giraud, <a href=\"http:\/\/journals.aps.org\/pra\/abstract\/10.1103\/PhysRevA.94.042343\">Phys. Rev. A <strong>94<\/strong>, 042343 (2016).<\/a><br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/1606.07635\">1606.07635<\/a><\/li>\n<li><strong> Tensor eigenvalues and entanglement of symmetric states <\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My049.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nF. Bohnet-Waldraff, D. Braun, and O. Giraud, <a href=\"http:\/\/journals.aps.org\/pra\/abstract\/10.1103\/PhysRevA.94.042324\">Phys. Rev. A <strong>94<\/strong>, 042324 (2016).<br \/>\n<\/a><a href=\"http:\/\/arxiv.org\/abs\/1608.03537\">1608.03537<\/a><\/li>\n<li><strong> Scaling theory of the Anderson transition in random graphs: ergodicity and universality <\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My050.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nIgnacio Garc\u00eda-Mata, Olivier Giraud, Bertrand Georgeot, John Martin, R\u00e9my Dubertrand, and Gabriel Lemari\u00e9, <a href=\"https:\/\/journals.aps.org\/prl\/abstract\/10.1103\/PhysRevLett.118.166801\">Phys. Rev. Lett. <strong>118<\/strong>, 166801 (2017)<\/a>.<br \/>\n<a href=\"http:\/\/arxiv.org\/abs\/1609.05857\">1609.05857<\/a><\/li>\n<li><strong> Absolutely classical spin states<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My051.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nF. Bohnet-Waldraff, O. Giraud, and D. Braun, <a href=\"http:\/\/journals.aps.org\/pra\/abstract\/10.1103\/PhysRevA.95.012318\">Phys. Rev. A <strong>95<\/strong>, 012318 (2017)<br \/>\n<\/a><a href=\"http:\/\/arxiv.org\/abs\/1611.06064\">1611.06064<\/a><\/li>\n<li><strong>Regularly decomposable tensors and classical spin states<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My052.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nL. Qi, G. Zhang, D. Braun, F. Bohnet-Waldraff, and O. Giraud, <a href=\"http:\/\/dx.doi.org\/10.4310\/CMS.2017.v15.n6.a8\" target=\"_blank\" rel=\"noopener\">Commun. Math. Sci. <strong>15<\/strong> (6), 1651 (2017)<\/a><br \/>\n<a href=\"https:\/\/arxiv.org\/abs\/1612.02638\">1612.02638<\/a><\/li>\n<li><strong>Entanglement and the truncated moment problem<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My053.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nF. Bohnet-Waldraff, D. Braun, and O. Giraud, <a href=\"https:\/\/journals.aps.org\/pra\/abstract\/10.1103\/PhysRevA.96.032312\" target=\"_blank\" rel=\"noopener\">Phys. Rev. A <strong>96<\/strong>, 032312 (2017)<\/a><br \/>\n<a href=\"https:\/\/arxiv.org\/abs\/1704.02277\">1704.02277<\/a><\/li>\n<li><strong>Genuinely entangled symmetric states with no <span id=\"MathJax-Element-1-Frame\" class=\"MathJax\"><span id=\"MathJax-Span-1\" class=\"math\"><span id=\"MathJax-Span-2\" class=\"mrow\"><span id=\"MathJax-Span-3\" class=\"mi\">N<\/span><\/span><\/span><\/span>-partite correlations<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My054.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nS. Designolle, O. Giraud, and J. Martin, <a href=\"https:\/\/journals.aps.org\/pra\/abstract\/10.1103\/PhysRevA.96.032322\" target=\"_blank\" rel=\"noopener\">Phys. Rev. A <strong>96<\/strong>, 032322 (2017)<\/a><br \/>\n<a href=\"https:\/\/arxiv.org\/abs\/1707.04103\">1707.04103<\/a><\/li>\n<li><strong>Distinguishing humans from computers in the game of go: a complex network approach<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My055.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nC. Coquid\u00e9, B. Georgeot, and O. Giraud, <a href=\"http:\/\/iopscience.iop.org\/article\/10.1209\/0295-5075\/119\/48001\">EPL <strong>119<\/strong>, 48001 (2017)<\/a><br \/>\n<a href=\"https:\/\/arxiv.org\/abs\/1707.04044\">1707.04044<\/a><\/li>\n<li><strong> Correlations of occupation numbers in the canonical ensemble and application to a Bose-Einstein condensate in a one-dimensional harmonic trap<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My056.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nO. Giraud, A. Grabsch, and C. Texier, <a href=\"https:\/\/journals.aps.org\/pra\/abstract\/10.1103\/PhysRevA.97.053615\">Phys. Rev. A <strong>97<\/strong>, 053615 (2018)<\/a><br \/>\n<a href=\"https:\/\/arxiv.org\/abs\/1802.02555\">1802.02555<\/a><\/li>\n<li><strong> Quantum Hamiltonian computing protocols for molecular electronics Boolean logic gates<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My057.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nO. Faizy Namarvar, O. Giraud, B. Georgeot, and C. Joachim, <a href=\"https:\/\/iopscience.iop.org\/article\/10.1088\/2058-9565\/ab2412\">Quantum Sci.Technol. <strong>4<\/strong>, 035009 (2019)<\/a><br \/>\n<a href=\"https:\/\/arxiv.org\/abs\/1812.00395\">1812.00395<\/a><\/li>\n<li><strong>Optimal measurement strategies for fast entanglement detection<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My058.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nN. Milazzo, D. Braun, and O. Giraud, <a href=\"https:\/\/journals.aps.org\/pra\/abstract\/10.1103\/PhysRevA.100.012328\">Phys. Rev. A <strong>100<\/strong>, 012328 (2019)<\/a><br \/>\n<a href=\"https:\/\/arxiv.org\/abs\/1902.04803\">1902.04803<\/a><\/li>\n<li><strong>Multifractality of open quantum systems<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My059.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nA. Bilen, I. Garc\u00eda-Mata, B. Georgeot, and O. Giraud, <a href=\"https:\/\/journals.aps.org\/pre\/abstract\/10.1103\/PhysRevE.100.032223\">Phys. Rev. E <strong>100<\/strong>, 032223 (2019)<\/a><br \/>\n<a href=\"https:\/\/arxiv.org\/abs\/1906.05350\">1906.05350<\/a><\/li>\n<li><strong>Two localization lengths in the Anderson transition on random graphs<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My060.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nI. Garc\u00eda-Mata, J. Martin, R. Dubertrand, O. Giraud, B. Georgeot, and G. Lemari\u00e9, <a href=\"https:\/\/journals.aps.org\/prresearch\/abstract\/10.1103\/PhysRevResearch.2.012020\"> Phys. Rev. Research <strong>2<\/strong>, 012020(R) (2020)<\/a><br \/>\n<a href=\"https:\/\/arxiv.org\/abs\/1904.08869\">1904.08869<\/a><\/li>\n<li><strong>Optimal detection of rotations by coherent and anticoherent states<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My061.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nJ. Martin, S. Weigert, and O. Giraud, <a href=\"https:\/\/doi.org\/10.22331\/q-2020-06-22-285\" target=\"_blank\" rel=\"noopener\">Quantum <strong>4<\/strong>, 285 (2020)<\/a><br \/>\n<a href=\"https:\/\/arxiv.org\/abs\/1909.08355\">1909.08355<\/a><\/li>\n<li><strong>Semiclassical evaluation of expectation values<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My062.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nK. M. Mittal, O. Giraud, and D. Ullmo, <a href=\"https:\/\/journals.aps.org\/pre\/abstract\/10.1103\/PhysRevE.102.042211\">Phys. Rev. E <strong>102<\/strong>, 042211 (2020)<\/a><br \/>\n<a href=\"https:\/\/arxiv.org\/abs\/1911.10226\" target=\"_blank\" rel=\"noopener\">1911.10226<\/a><\/li>\n<li><strong>Chaos-assisted tunneling resonances in a synthetic Floquet superlattice<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My063.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nM. Arnal, G. Chatelain, M. Martinez, N. Dupont, O. Giraud, D. Ullmo, B. Georgeot, G. Lemari\u00e9, J. Billy, and D. Gu\u00e9ry-Odelin, <a href=\"https:\/\/doi.org\/10.1126\/sciadv.abc4886\">Science advances <strong>6<\/strong>(38), eabc4886 (2020)<\/a><br \/>\n<a href=\"https:\/\/arxiv.org\/abs\/2003.10387\" target=\"_blank\" rel=\"noopener\">2003.10387<\/a><\/li>\n<li><strong>Truncated moment sequences and a solution to the channel separability problem<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My064.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nN. Milazzo, D. Braun, and O. Giraud, <a href=\"https:\/\/journals.aps.org\/pra\/abstract\/10.1103\/PhysRevA.102.052406\">Phys. Rev. A <strong>102<\/strong>, 052406 (2020)<\/a><br \/>\n<a href=\"https:\/\/arxiv.org\/abs\/2006.15003\" target=\"_blank\" rel=\"noopener\">2006.15003<\/a><\/li>\n<li><strong>Probing symmetries of quantum many-body systems through gap ratio statistics<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My065.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nO. Giraud, N. Mac\u00e9, E. Vernier, and F. Alet, <a href=\"https:\/\/journals.aps.org\/prx\/abstract\/10.1103\/PhysRevX.12.011006\">Phys. Rev. X <strong>12<\/strong>, 011006 (2022)<\/a><br \/>\n<a href=\"https:\/\/arxiv.org\/abs\/2008.11173\" target=\"_blank\" rel=\"noopener\">2008.11173<\/a><\/li>\n<li><strong>Chaos-assisted long-range hopping for quantum simulation<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My066.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nM. Martinez, O. Giraud, D. Ullmo, J. Billy, D. Gu\u00e9ry-Odelin, B. Georgeot, and G. Lemari\u00e9, <a href=\"https:\/\/journals.aps.org\/prl\/abstract\/10.1103\/PhysRevLett.126.174102\">Phys. Rev. Lett. <strong>126<\/strong>, 174102 (2021)<\/a><br \/>\n<a href=\"https:\/\/arxiv.org\/abs\/2011.02557\" target=\"_blank\" rel=\"noopener\">2011.02557<\/a><\/li>\n<li><strong>Coherent forward scattering peak and multifractality<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My067.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nM. Martinez, G. Lemari\u00e9, B. Georgeot, C. Miniatura, and O. Giraud, <a href=\"https:\/\/link.aps.org\/doi\/10.1103\/PhysRevResearch.3.L032044\">Phys. Rev. Research <strong>3<\/strong>, L032044 (2021)<\/a><br \/>\n<a href=\"https:\/\/arxiv.org\/abs\/2011.03022\" target=\"_blank\" rel=\"noopener\">2011.03022<\/a><\/li>\n<li><strong>Statistical properties of structured random matrices<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My068.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nE. Bogomolny and O. Giraud, <a href=\"https:\/\/link.aps.org\/doi\/10.1103\/PhysRevE.103.042213\">Phys. Rev. E <strong>103<\/strong>, 042213 (2021)<\/a><br \/>\n<a href=\"https:\/\/arxiv.org\/abs\/2012.14322\" target=\"_blank\" rel=\"noopener\">2012.14322<\/a><\/li>\n<li><strong>Bipartite and tripartite entanglement in a Bose-Einstein acoustic black hole<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My069.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nM. Isoard, N. Milazzo, N. Pavloff, and O. Giraud, <a href=\"https:\/\/link.aps.org\/doi\/10.1103\/PhysRevA.104.063302\">Phys. Rev. A <strong>104<\/strong>, 063302 (2021)<\/a><br \/>\n<a href=\"https:\/\/arxiv.org\/abs\/2102.06175\" target=\"_blank\" rel=\"noopener\">2102.06175<\/a><\/li>\n<li><strong>Symmetry violation of quantum multifractality: Gaussian fluctuations versus algebraic localization<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My070.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nA. Bilen, B. Georgeot, O. Giraud, G. Lemari\u00e9, and I. Garc\u00eda-Mata, <a href=\"https:\/\/journals.aps.org\/prresearch\/abstract\/10.1103\/PhysRevResearch.3.L022023\">Phys. Rev. Research <strong>3<\/strong>, L022023 (2021)<\/a><br \/>\n<a href=\"https:\/\/arxiv.org\/abs\/2103.03068\" target=\"_blank\" rel=\"noopener\">2103.03068<\/a><\/li>\n<li><strong>Network community structure and resilience to localized damage: application to brain microcirculation<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My071.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nF. Goirand, B. Georgeot, O. Giraud, and S. Lorthois, <a href=\"https:\/\/doi.org\/10.1016\/j.brain.2021.100028\">Brain Multiphysics <strong>2<\/strong>, 100028 (2021)<\/a><br \/>\n<a href=\"https:\/\/arxiv.org\/abs\/2103.08587\" target=\"_blank\" rel=\"noopener\">2103.08587<\/a><\/li>\n<li><strong>Harmonic structures of Beethoven quartets: a complex network approach<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My072.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nT. Frottier, B. Georgeot, and O. Giraud, <a href=\"https:\/\/doi.org\/10.1140\/epjb\/s10051-022-00368-z\">Eur. Phys. J. B <strong>95<\/strong>, 103 (2022)<\/a><br \/>\n<a href=\"https:\/\/arxiv.org\/abs\/2201.08796\" target=\"_blank\" rel=\"noopener\">2201.08796<\/a><\/li>\n<li><strong>Critical properties of the Anderson transition on random graphs: Two-parameter scaling theory, Kosterlitz-Thouless type flow, and many-body localization<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My073.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nI. Garc\u00eda-Mata, J. Martin, O. Giraud, B. Georgeot, R. Dubertrand, and G. Lemari\u00e9, <a href=\"https:\/\/doi.org\/10.1103\/PhysRevB.106.214202\">Phys. Rev. B <strong>106<\/strong>, 214202 (2022)<\/a><br \/>\n<a href=\"https:\/\/arxiv.org\/abs\/2209.04337\" target=\"_blank\" rel=\"noopener\">2209.04337<\/a><\/li>\n<li><strong>Principles of quantum functional testing<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My074.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nN. Milazzo, O. Giraud, G. Gramegna, and D. Braun, <a href=\"https:\/\/doi.org\/10.1103\/PhysRevA.108.022602\">Phys. Rev. A <strong>108<\/strong>, 022602 (2023)<\/a><br \/>\n<a href=\"https:\/\/arxiv.org\/abs\/2209.11712\" target=\"_blank\" rel=\"noopener\">2209.11712<\/a><\/li>\n<li><strong>Coherent forward scattering as a robust probe of multifractality in critical disordered media<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My075.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nM. Martinez, G. Lemari\u00e9, B. Georgeot, C. Miniatura, and O. Giraud, <a href=\"https:\/\/scipost.org\/SciPostPhys.14.3.057\">SciPost Phys. <strong>14<\/strong>, 057 (2023)<\/a><br \/>\n<a href=\"https:\/\/arxiv.org\/abs\/2210.04796\" target=\"_blank\" rel=\"noopener\">2210.04796<\/a><\/li>\n<li><strong>Quantum parameter estimation with many-body fermionic systems and application to the Hall effect<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My076.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nO. Giraud, M.-O. Goerbig, and D. Braun, <a href=\"https:\/\/scipost.org\/SciPostPhys.16.3.085\">SciPost Phys. <\/a><strong><a href=\"https:\/\/scipost.org\/SciPostPhys.16.3.085\">16<\/a><\/strong><a href=\"https:\/\/scipost.org\/SciPostPhys.16.3.085\">, 085 (2024)<\/a><br \/>\n<a href=\"https:\/\/arxiv.org\/abs\/2303.10199\" target=\"_blank\" rel=\"noopener\">2303.10199<\/a><\/li>\n<li><strong>Computing quantum mean values in the deep chaotic regime<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My077.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nG. Lando, O. Giraud, and D. Ullmo, <a href=\"https:\/\/link.aps.org\/doi\/10.1103\/PhysRevLett.132.260401\">Phys. Rev. Lett. <strong>132<\/strong>, 260401 (2024)<\/a><br \/>\n<a href=\"https:\/\/arxiv.org\/abs\/2308.04655\" target=\"_blank\" rel=\"noopener\">2308.04655<\/a><\/li>\n<li>\n<div class=\"list-title mathjax\"><strong>Analytical solution of susceptible-infected-recovered models on homogeneous networks<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My078.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nL. Bremaud, O. Giraud, and D. Ullmo, <a href=\"https:\/\/link.aps.org\/doi\/10.1103\/PhysRevE.110.044307\">Phys. Rev. E <strong>110<\/strong>, 044307 (2024)<\/a><br \/>\n<a href=\"https:\/\/arxiv.org\/abs\/2312.11321\" target=\"_blank\" rel=\"noopener\">2312.11321<\/a><\/div>\n<\/li>\n<li><strong>Quantum logarithmic multifractality<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My079.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nW. Chen, O. Giraud, J. Gong, and G. Lemari\u00e9, <a href=\"https:\/\/link.aps.org\/doi\/10.1103\/PhysRevResearch.6.L032024\">Phys. Rev. Res. <strong>6<\/strong>, L032024 (2024)<\/a><br \/>\n<a href=\"https:\/\/arxiv.org\/abs\/2312.17481\" target=\"_blank\" rel=\"noopener\">2312.17481<\/a><\/li>\n<li><strong>Mean-field-game approach to nonpharmaceutical interventions in a social-structure model of epidemics<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My080.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nL. Bremaud, O. Giraud, and D. Ullmo, <a href=\"https:\/\/doi.org\/10.1103\/PhysRevE.110.064301\">Phys. Rev. E <strong>110<\/strong>, 064301 (2025)<\/a><br \/>\n<a href=\"https:\/\/arxiv.org\/abs\/2404.08758\" target=\"_blank\" rel=\"noopener\">2404.08758<\/a><\/li>\n<li><strong>Describing the critical behavior of the Anderson transition in infinite dimension by random-matrix ensembles: logarithmic multifractality and critical localization<\/strong> <a href=\"http:\/\/lptms.u-psud.fr\/olivier_giraud\/files\/2025\/01\/My081.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nW. Chen, O. Giraud, J. Gong, and G. Lemari\u00e9, <a href=\"https:\/\/link.aps.org\/doi\/10.1103\/PhysRevB.110.014210\">Phys. Rev. B <strong>110<\/strong>, 014210 (2024)<\/a><br \/>\n<a href=\"https:\/\/arxiv.org\/abs\/2405.10975\" target=\"_blank\" rel=\"noopener\">2405.10975<\/a><\/li>\n<li><strong>Mean-field game approach to epidemic propagation on networks<\/strong><a href=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/11\/My082.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nL. Bremaud, O. Giraud, and D. Ullmo, <a href=\"https:\/\/doi.org\/10.1103\/mys6-fznc\">Phys. Rev. E <strong>112<\/strong>, L052301 (2025)<\/a><br \/>\n<a href=\"https:\/\/arxiv.org\/abs\/2501.14601\" target=\"_blank\" rel=\"noopener\">2501.14601<\/a><\/li>\n<li><strong>Coherent backscattering and coherent forward scattering effects in variations of the random<br \/>\nquantum kicked rotor<\/strong> <a href=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/06\/My083.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nH. Thomas, J. H\u00e9braud, B. Georgeot, G. Lemari\u00e9, C. Miniatura, and O. Giraud, <a href=\"https:\/\/link.aps.org\/doi\/10.1103\/PhysRevA.111.063302\">Phys. Rev. A <strong>111<\/strong>, 063302 (2025)<\/a><br \/>\n<a href=\"https:\/\/arxiv.org\/abs\/2503.02517\" target=\"_blank\" rel=\"noopener\">2503.02517<\/a><\/li>\n<li><strong>Multiqubit monogamy relations beyond shadow inequalities<\/strong><a href=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2026\/01\/My084.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" style=\"vertical-align: bottom\" src=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/files\/2025\/01\/pdf.png\" alt=\"PDF\" width=\"24\" height=\"24\" \/><\/a><br \/>\nE. Serrano-Ens\u00e1stiga, O. Giraud, and J. Martin, <a href=\"https:\/\/doi.org\/10.1103\/9fkf-hm8l\">Phys. Rev. A <strong>113<\/strong>, 012415 (2026)<\/a><br \/>\n<a href=\"https:\/\/arxiv.org\/abs\/2507.12680\" target=\"_blank\" rel=\"noopener\">2507.12680<\/a><\/li>\n<li><strong>Symmetry-Induced Logarithmic Relaxation in the Quantum Kicked Rotor<\/strong><br \/>\n J. H\u00e9braud, F. Arrouas, B. Peaudecerf, J. Billy, D. Gu\u00e9ry-Odelin, O. Giraud, B. Georgeot, G. Lemari\u00e9, and C. Miniatura <\/a><br \/>\n<a href=\"https:\/\/arxiv.org\/abs\/2603.01707\" target=\"_blank\" rel=\"noopener\">2603.01707<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Periodic orbits contribution to the 2-point correlation form factor for pseudo-integrable systems E. Bogomolny, O. Giraud and C. Schmit, Commun. Math. Phys. 222, 327-369 (2001). nlin\/0101008 Semiclassical Calculations of the Two-Point Correlation Form Factor for Diffractive Systems E. Bogomolny and &hellip; <a href=\"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/publications\/\">Continuer la lecture <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"open","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":["post-7","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/wp-json\/wp\/v2\/pages\/7","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/wp-json\/wp\/v2\/comments?post=7"}],"version-history":[{"count":223,"href":"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/wp-json\/wp\/v2\/pages\/7\/revisions"}],"predecessor-version":[{"id":541,"href":"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/wp-json\/wp\/v2\/pages\/7\/revisions\/541"}],"wp:attachment":[{"href":"http:\/\/www.lptms.universite-paris-saclay.fr\/olivier_giraud\/wp-json\/wp\/v2\/media?parent=7"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}