Denis Ullmo

LPTMS & Institut Pascal

Université Paris-Saclay

Current Information

Address

        LPTMS, Université Paris-Saclay

        Bâtiment Pascal, 530 rue André Rivière

        Campus Scientifique d'Orsay

        F-91405 , Orsay  Cedex, France

Phone

       +33  1 69 15 74 76

FAX

       + 33  1 69 15 65 25

Email

      myname at universite-paris-saclay.fr

Mean Field Games

students' thesis & internship reports

• Mean Field Game modeling of epidemic propagation
  Louis Bremaud, rapport de stage de M2 (2021) pdf
• Une Application de la Théorie de Jeux en Champ Moyen à la Dynamique des Piétons
  Matteno Butano, rapport de stage de M2 (2021) pdf
• Quadratic Mean Filed Games with Negative Coordination
  Thibault Bonnemain, Ph.D. thesis (2020) pdf
• Modèles de théories de jeux en champs moyens appliqués à la réduction de propagation d’épidémie
  Géraud Dupuy, rapport de stage de M2 (2020) pdf
• Mean field games modelling of pedestrian flows
  Théophile Bonnet, rapport de stage de M2 (2020) pdf
• Étude de quelques modèles issus de la théorie des jeux en champ moyen
  Igor Swiecicki, Ph.D. thesis (2016) pdf
• Théorie des Jeux en Champ Moyen : Comment quantifier le racisme ?
  Gabriel Rocheman, rapport de stage de M2 (2016) pdf

Seminar slides

• Pedestrians are not grains, but gamers ! [a Mean Field Games description of crowd dynamics]
  LPTMS, Orsay, December 7'th 2021 pdf (you can find a video here ).
• Mean Field Games in the weak noise limit : a semiclassical description
  Natal, March 27'th 2019 pdf
• Non-Linear Schrödinger approach to Mean Field Games
  IPAM, September 1'rst 2017 pdf
• Mean Field Games: An [imaginary time] Schrödinger approach
  MICS, January 21'th 2016 pdf
• “Phase Diagram” of a mean field game
  Luchon, March 20'th 2015 pdf

Review Articles

• The Bohigas-Giannoni-Schmit Conjecture
  Denis Ullmo, Scholarpedia, 11(9):31721 (2016). doi:10.4249/scholarpedia.31721 .
• Introduction to Quantum Chaos
  Denis Ullmo and Steven Tomsovic, in Fundamentals of Physics , [Eds. UNESCO-EOLSS Joint Committee], in Encyclopedia of Life Support Systems (EOLSS), Developed under the Auspices of the UNESCO, Eolss Publishers, Oxford, UK, 2015 EOLSS (a preprint version can be found here ).
• Resonance-Assisted Tunneling in Mixed Regular-Chaotic Systems
  Peter Schlagheck, Amaury Mouchet, and Denis Ullmo, in "Dynamical Tunneling: Theory and Experiment" (Chapter 8), editors: Peter Schlagheck and Srihari Keshavamurthy, Taylor & Francis 2011. pdf.
• Kondo effect and mesoscopic fluctuations
  Denis Ullmo, Sébastien Burdin, Dong E. Liu, Harold U. Baranger, Pramana Journal of Physics 77 769--779 (2011). pdf.
• Many body physics and quantum chaos *
  Denis Ullmo, Rep. Prog. Phys. 71 (2008) 026001 (cond-mat)
• Resonance- and chaos-assisted tunneling
  Peter Schlagheck, Christopher Eltschka, and Denis Ullmo, in "Progress in Ultrafast Intense Laser Science (Volume 84)", pp. 107-131, editors: Kaoru Yamanouchi, See Leang Chin, Pierre Agostini and Gaetano Ferrante, Springer 2006. (nlin.CD/0508024)
• Magnétisme orbital des microstructures électroniques balistiques
  D. Ullmo, Mémoire d'habilitation à diriger des recherches (janvier 2002) (pdf)(5.8MB).
• Chaos gives quantum tunneling a hand
  A. Mouchet, and D. Ullmo, Physics World 14, 24 (September 2001) pdf.

Research Articles

Mean field games

• Mean Field Game Approach to Non-Pharmaceutical Interventions in a Social Structure model of Epidemics
  Louis Bremaud, Olivier Giraud, and Denis Ullmo, arXiv:2404.08758
  
• Epidemic models on homogeneous networks : some analytical results
  Louis Bremaud, Olivier Giraud, and Denis Ullmo, arXiv:2312.11321
  
• Discounted Mean-Field Game model of a dense static crowd with variable information crossed by an intruder
  Matteo Butano, Cécile Appert-Rolland, Denis Ullmo, SciPost Phys. 16, 104 (2024)
  
• Pedestrians in static crowds are not grains, but game players
  Thibault Bonnemain, Matteo Butano, Théophile Bonnet, Iñaki Echeverría-Huarte, Antoine Seguin, Alexandre Nicolas, Cécile Appert-Rolland, and Denis Ullmo, Phys. Rev. E 107, 024612 (2023) [(aps)- -(pdf)].
  
• Social structure description of epidemic propagation with a mean-field game paradigm
  Louis Bremaud and Denis Ullmo, Phys. Rev. E 106, L062301 (2023) [(aps)- -(pdf)].
  
• Lax connection and conserved quantities of quadratic mean field games
  Thibault Bonnemain, Thierry Gobron, and Denis Ullmo, Journal of Mathematical Physics 62, 083302 (2021) [(JMathPhys)- -(pdf)- -(arXiv)]].
  
• Schrödinger approach to mean field games with negative coordination
  Thibault Bonnemain, ThierryT Gobron, et Denis Ullmo, SciPost Phys. 9, 059 (2020) (SciPost).
  
• Universal behavior in non stationary Mean Field Game
  Thibault Bonnemain, Thierry Gobron, and Denis Ullmo, Physics Letters A 384 , 126608, (2020) [(ScienceDirect)--(pdf)--(arXiv)].
  
• Quadratic Mean Field Games
  Denis Ullmo, Igor Swiecicki, and Thierry Gobron, Physics Report 799, 1-35, (2019) [(ScienceDirect)--(pdf)].
  
• Mean Field Games in the weak noise limit : A WKB approach to the Fokker-Planck equation
  Thibault Bonnemain and Denis Ullmo, Physica A 523, 310-325, (2019) [(ScienceDirect)--(pdf)--(arXiv)].
  
• Schroedinger approach to mean field games
  Igor Swiecicki, Thierry Gobron and Denis Ullmo, Phys. Rev. Lett. 116, 128701 (2016) [(aps)--(pdf)].
  [selected as "feature in physics" (physics)]
• "Phase diagram" of a mean field game
  Igor Swiecicki, Thierry Gobron, Denis Ullmo, Physica A 442, 467–485 (2016) [(Science Direct)--(pdf)].

Semiclassics & Many Body Semiclassics

• Computing Quantum Mean Values in the Deep Chaotic Regime
  Gabriel M. Lando, Olivier Giraud, and Denis Ullmo, Phys. Rev. Lett. 132 , 260401 (2024) [ (aps)--(pdf)]
  
• Resurgent revivals in bosonic quantum gases: A striking signature of many-body quantum interferences
  Peter Sckagheck, Denis Ullmo, Gabriel M. Lando, and Steven Tomsovic
  Phys. Rev. A 106 , L051302 (2022) [(aps)- -(pdf)].
  
• Chaos-assisted long-range hopping for quantum simulation
  Maxime Martinez, Olivier Giraud, Denis Ullmo, Juliette Billy, David Guéry-Odelin, Bertrand Georgeot, Gabriel Lemarié
  Phys. Rev. Lett. 126 , 174102 (2021) [(aps)--(ArXiv)--(pdf)].
  
• Semiclassical evaluation of expectation values,
  Kush M. Mittal, Olivier Giraud, and Denis Ullmo Phys. Rev. E 102, 042211 (2020) [(aps)--(pdf)].
  
• Chaos-assisted tunneling resonances in a synthetic Floquet superlattice,
  M. Arnal, G. Chatelain, M. Martinez, N. Dupont, O. Giraud, D. Ullmo, B. Georgeot, G. Lemarié, J. Billy and D. Guéry-Odelin,
  Science Advances 6 eabc4886 (2020) [(SienceAdvance)--(pdf)].
  
• Enhancement of quantum interference in chaotic bosonic many-body systems
  Peter Schlagheck, Denis Ullmo, Juan Diego Urbina, Klaus Richter, and Steven Tomsovic, Phys. Rev. Lett. 123 , 215302 (2019) [(aps)--(pdf)].
  
• Post-Ehrenfest many-body quantum interferences in ultracold atoms far-out-of-equilibrium
  Steven Tomsovic, Peter Schlagheck, Denis Ullmo, Juan Diego Urbina, Klaus Richter, Phys. Rev. A 97, 061606(R) (2018) [(aps)--(pdf)].
  

Paul traps

• Can a periodically driven particle resist laser cooling and noise ?
  Ananyo Maitra, Dietrich Leibfried, Denis Ullmo, and Haggai Landa, Phys. Rev. Research 1 , 012012(R) (2019). (aps)
  
• Far-from-equilibrium noise-heating and laser-cooling dynamics in radio-frequency Paul traps
  Ananyo Maitra, Dietrich Leibfried, Denis Ullmo, and Haggai Landa, Phys. Rev. A 99, 043421 (2019). (aps)
  
• Phase-space study of surface-electrode Paul traps: Integrable, chaotic, and mixed motions
  Vincent Roberdel, Dietrich Leibfried, Denis Ullmo, and Haggai Landa, Phys. Rev. A 97, 053419 (2018). (aps)
  

Graphene

• Zak phase and the existence of edge states in graphene
  Pierre Delplace, Denis Ullmo, and Gilles Montambaux, Phys. Rev. B 84, 195452 (2011). (pdf)
• Semiclassical magnetotransport in graphene n-p junctions
  Pierre Carmier, Caio Lewenkopf, and Denis Ullmo Phys. Rev. B 84, 195428 (2011). (pdf)
• Graphene n-p junction in a strong magnetic field: A semiclassical study
  Pierre Carmier, Caio Lewenkopf, and Denis Ullmo, Phys. Rev. B 81, 241406(R) (2010). (APS)
• Berry phase in graphene: a semiclassical perspective
  Pierre Carmier and Denis Ullmo, Phys. Rev. B 77, 245413 (2008). (APS)

Kondo effect and impurity problems in quantum dots

• Fermi-liquid regime of the mesoscopic Kondo problem
  Denis Ullmo, Dong E. Liu, Sébastien Burdin, and Harold U. Baranger, Eur. Phys. J. B 86: 353 (2013). (pdf)
• Mesoscopic Anderson box: Connecting weak to strong coupling
  Dong E. Liu, Sébastien Burdin, Harold U. Baranger and Denis Ullmo, Phys. Rev. B 85 155455 (2012). (APS)
• From weak- to strong-coupling mesoscopic Fermi liquids
  Dong E. Liu, Sébastien Burdin, Harold U. Baranger and Denis Ullmo, Europhys. Lett. 97 17006 (2012). (pdf)
• Ground State and Excitations of Quantum Dots with "Magnetic Impurities"
  Ribhu K. Kaul, Denis Ullmo, Gergely Zarand, Shaleish Chandrasekharan and Harold U. Baranger, Phys. Rev. B 80, 035318 (2009). (APS)
• Fermi Edge Singularities in the Mesoscopic Regime: II. Photo-absorption Spectra
  Martina Hentschel, Denis Ullmo, and Harold U. Baranger, Phys. Rev. B 76, 245419 (2007) (APS)
• Many-body effects in the mesoscopic x-ray edge problem
  Martina Hentschel, Georg Roeder, and Denis Ullmo, Prog. Theor. Phys. Suppl. 166, 143-151 (2007). (PTP, cond-mat) .
• Spectroscopy of the Kondo Problem in a Box
  Ribhu K. Kaul, Gergely Zaránd, Shailesh Chandrasekharan, Denis Ullmo, and Harold U. Baranger, Phys. Rev. Lett. 96, 176802 (2006) (APS)
• No Sign Problem in the Hirsch-Fye Algorithm for an Anderson Impurity
  Jaebeom Yoo, Shailesh Chandrasekharan, Ribhu K. Kaul, Denis Ullmo, and Harold U. Baranger, J. Phys. A: Math. Gen. 38 10307-10310 (2005). pdf
• Cluster Algorithms for Mesoscopic Kondo Physics
  Jaebeom Yoo, Shailesh Chandrasekharan, Ribhu K. Kaul, Denis Ullmo, and Harold U. Baranger, Phys. Rev. B 71, 201309(R) (2005). (APS)
• Mesoscopic Kondo Problem
  Ribhu K. Kaul, Denis Ullmo, Shailesh Chandrasekharan, and Harold U. Baranger, Europhys. Lett. 71, pp. 973-979 (2005) pdf
• Fermi-Edge Singularities in the Mesoscopic Regime: Anderson Orthogonality Catatrophe
  Martina Hentschel, Denis Ullmo, and Harold U. Baranger, Phys. Rev. B 72, 035310 (2005). (APS)
• Fermi-Edge Singularities in the Mesoscopic X-Ray Edge Problem
  Martina Hentschel, Denis Ullmo, and Harold U. Baranger, Phys. Rev. Lett. 93, 176807 (2004). (APS)
• Mesoscopic fluctuations in quantum dots in the Kondo regime
  R. K. Kaul, Denis Ullmo, and Harold U. Baranger Phys. Rev. B 68, 161305(R) (2003). (APS)

Coulomb blockade

• Screening of the Coulomb interaction in a generic ballistic quantum dot
  Denis Ullmo in "Complex phenomena in nanoscale systems", pp. 97-108, editors: Giulio Casati and Davron Matrasulov, Springer 2009. pdf
• Semiclassical theory of non-local statistical measures: residual Coulomb interactions
  Denis Ullmo, Steven Tomsovic and Arnd Bäcker, Phys. Rev. E 79, 056217 (2009). (APS)
• Residual Coulomb interaction fluctuations in chaotic systems: the boundary, random plane waves, and semiclassical theory
  Steven Tomsovic, Denis Ullmo, and Arnd Bäcker, Phys. Rev. Lett. 100, 164101 (2008). (APS)
• Incipient Wigner Localization in Circular Quantum Dots
  Amit Ghosal, A. D. Guclu, C. J. Umrigar, Denis Ullmo, and Harold U. Baranger, Phys. Rev. B 76, 085341 (2007) (APS)
• Toward Strong Interactions in Circular Quantum Dots: Correlation Induced Inhomogeneity
  Amit Ghosal, A. D. Guclu, C. J. Umrigar, Denis Ullmo, and Harold U. Baranger, Nature Physics 2, 336 - 340 (2006). pdf
• Statistics of Wave Functions in Disordered Systems with Applications to Coulomb Blockade Peak Spacing
  Mike Miller, Denis Ullmo, Harold U. Baranger, Phys. Rev. B 72, 045305 (2005). (APS)
• Interactions and Broken Time-Reversal Symmetry in Chaotic Quantum Dots
  Denis Ullmo, Hong Jiang, Weitao Yang, Harold U. Baranger , Phys. Rev. B 71, 201310(R) (2005). (APS)
• Interaction Effects in Irregular Quantum Dots: A Quantum Monte Carlo Study
  Amit Ghosal, C. J. Umrigar, Hong Jiang, Denis Ullmo, Harold U. Baranger Phys. Rev. B 71, 241306(R) (2005). (APS)
• Scrambling and Gate Effects in Realistic Quantum Dots
  Hong Jiang, Denis Ullmo, Weitao Yang, and Harold U. Baranger, Phys. Rev. B 71 , 085313 (2005) (APS)
• Landau Fermi Liquid Picture of Spin Density Functional Theory:
  Strutinsky Approach to Quantum Dots
  Denis Ullmo, Hong Jiang, Weitao Yang,and Harold U. Baranger, Phys. Rev. B 70, 205309 (2004). (APS)
• Electron-Electron Interactions in Isolated and Realistic Quantum Dots:
  A Density Functional Theory Study
  Hong Jiang, Denis Ullmo, Weitao Yang, and Harold U. Baranger, Phys. Rev. B 69, 235326 (2004). (APS)
• Quantum dot ground state energies and spin polarizations: soft versus hard chaos
  Denis Ullmo, Tatsuro Nagano and Steven Tomsovic, Phys. Rev. Lett, 90, 176801 (2003) (APS); Phys. Rev. Lett. 91, 179901(E) (2003) (APS).
• Interactions in Chaotic Nanoparticles: Fluctuations in Coulomb Blockade Peak Spacings
  Denis Ullmo and Harold U. Baranger, Phys. Rev. B 64, 245324 (2001). (APS)
• Semiclassical Density Functional Theory: Strutinsky Energy Corrections in Quantum Dots
  Denis Ullmo, Tatsuro Nagano, Steven Tomsovic, and Harold U. Baranger. Phys. Rev. B 63, 125339 (2001). (APS)
• Interactions and interference in quantum dots: Kinks in Coulomb-blockade peak positions
  Harold U. Baranger, Denis Ullmo, and Leonid I. Glazman, Phys. Rev. B 61 (2000) R2425. (APS)

Orbital magnetism in quantum dots


• Interaction-Induced Magnetization of the Two-Dimensional Electron Gas
  F. von Oppen, D. Ullmo, and H.U. Baranger, Phys. Rev. B 62 (2000) 1935-1942. (APS)
• Chaos and interacting electrons in ballistic quantum dots
  D. Ullmo, H.U. Baranger, K. Richter, F. von Oppen and R.A. Jalabert, Phys. Rev. Lett. 80 (1998) 895. (APS)
• Semiclassical Approach to Orbital Magnetism of Interacting Diffusive Quantum Systems *
  D. Ullmo, K. Richter, H.U. Baranger, F. von Oppen and R.A. Jalabert, Physica E 1 (1997) 268-273. cond-mat
• Orbital magnetism in the ballistic regime: geometrical effects *
  K. Richter, D. Ullmo and R.A. Jalabert, Phys. Rep. 276 (1996) 1-84. cond-mat
• Integrability and disorder in mesoscopic systems: Application to orbital magnetism
  K. Richter, D. Ullmo and R.A. Jalabert, J. Math. Phys. 37 (1996) 5087-5110. pdf
• Smooth-disorder effects in ballistic microstructures
  K. Richter, D. Ullmo and R.A. Jalabert, Phys. Rev. B 54 (1996) R5219-R5223. (APS)
• Persistent currents in the ballistic regime
  R.A. Jalabert, K. Richter and D. Ullmo, Surf. Sci. 74 (1995) 383.
• Orbital magnetism in ensembles of ballistic billiards
  D. Ullmo, K. Richter and R.A. Jalabert, Phys. Rev. Lett. 74 (1995) 383-387.(APS)

Quantum Chaos

• Breaking time reversal in a simple smooth chaotic system
  Steven Tomsovic, Denis Ullmo, and Tatsuro Nagano, Phys. Rev.E 90 067201 (2003) (APS)
• Resonance-assisted tunneling
  O. Brodier, P. Schlagheck, and D. Ullmo, Ann. Phys. 300, 88-136 (2002). pdf
• Resonance-assisted tunneling in near-integrable systems
  O. Brodier, P. Schlagheck, and D. Ullmo, Phys. Rev. Lett. 87, 064101 (2001).(APS)
• The level splitting distribution in chaos-assisted tunneling
  F. Leyvraz and D. Ullmo, J. Phys. A 29 (1996) 2529-2551. (pdf)
• Nearly-integrable systems: Resonances and semiclassical trace formulas
  D. Ullmo, M. Grinberg and S. Tomsovic, Phys. Rev. E 54 (1996) 136-152. (APS)
• Semiclassical trace formulae of nearly-integrable systems: Resonances
  S. Tomsovic, M. Grinberg, and D. Ullmo, Phys. Rev. Lett 75 (1995) 4346-4350. (APS)
• Coding chaotic billiards: II - Compact billiards defined on the pseudoshere *
  D. Ullmo and M.-J. Giannoni, Physica D84 (1995) 329-356.
• Chaos assisted tunneling
  S. Tomsovic and D. Ullmo, Phys. Rev. E 50 (1994) 145. (APS)
• Manifestations of classical phase space structures in quantum mechanics *
  O. Bohigas, S. Tomsovic, and D. Ullmo, Phys. Rep. 223 (1993) 43-133.
• Strongly chaotic and mixed systems: Some classical and quantum properties
  O. Bohigas, M.-J. Giannoni, C. Schmit, S. Tomsovic, and D. Ullmo, Comments At. Mol. Phys. 25 (1990) 31-48.
• Classical transport effects on chaotic levels
  O. Bohigas, S. Tomsovic, and D. Ullmo, Phys. Rev. Lett. 65 (1990) 5. (APS)
• Dynamical quasi-degeneracies, and separation of regular and irregular quantum levels
  O. Bohigas, S. Tomsovic, and D. Ullmo, Phys. Rev. Lett. 64 (1990) 1479. (APS)
• Coding chaotic billiards : I-Non compact billiards on a negative curvature manifold
  M.-J. Giannoni and D. Ullmo, Physica D41 (1990) 371-390.

Wireless propagation

• Methods and Apparatus for Modeling the Propagation of Wireless Signals in Buildings
  H.U. Baranger and D. Ullmo and, US Patent filed September 1997.
• Wireless Propagation in Buildings: A Statistical Scattering Approach
  D. Ullmo and H.U. Baranger, IEEE 48 (1999) 947-955. *

Page d'accueil du LPTMS