publications

Spectral properties of the Google matrix of the World Wide Web and other directed networks

Bertrand Georgeot 1, Olivier Giraud 1, 2, Dima L. Shepelyansky 1 Physical Review E 81 (2010) 056109 We study numerically the spectrum and eigenstate properties of the Google matrix of various examples of directed networks such as vocabulary networks of dictionaries and university World Wide Web networks. The spectra have gapless structure in the vicinity of the maximal eigenvalue for Google damping parameter […]

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Spatial and topological organization of DNA chains induced by gene co-localization

Ivan Junier 1, 2, Olivier C. Martin 3, 4, François Képès 5 PLoS Computational Biology 6, 2 (2010) 1000678 Transcriptional activity has been shown to relate to the organization of chromosomes in the eukaryotic nucleus and in the bacterial nucleoid. In particular, highly transcribed genes, RNA polymerases and transcription factors gather into discrete spatial foci called transcription factories. However, the mechanisms underlying the formation

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Scattering on two Aharonov-Bohm vortices with opposite fluxes

E. Bogomolny 1, S. Mashkevich 2, 3, S. Ouvry 1 Journal of Physics A Mathematical and Theoretical 43 (2010) 354029 The scattering of an incident plane wave on two Aharonov-Bohm vortices with opposite fluxes is considered in detail. The presence of the vortices imposes non-trivial boundary conditions for the partial waves on a cut joining the two vortices. These conditions result in

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Rheological properties for inelastic Maxwell mixtures under shear flow

Vicente Garzo 1, Emmanuel Trizac 2 Journal of Non-Newtonian Fluid Mechanics 165 (2010) 932-940 The Boltzmann equation for inelastic Maxwell models is considered to determine the rheological properties in a granular binary mixture in the simple shear flow state. The transport coefficients (shear viscosity and viscometric functions) are {\em exactly} evaluated in terms of the coefficients of restitution, the

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Reply to ‘Comment on `Quenches in quantum many-body systems: One-dimensional Bose-Hubbard model reexamined’  »

Guillaume Roux 1 Physical Review A: Atomic, Molecular and Optical Physics 82 (2010) 037602 In his Comment [see preceding Comment, Phys. Rev. A 82, 037601 (2010)] on the paper by Roux [Phys. Rev. A 79, 021608(R) (2009)], Rigol argued that the energy distribution after a quench is not related to standard statistical ensembles and cannot explain thermalization.

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Renormalization group computation of the critical exponents of hierarchical spin glasses

Michele Castellana 1, 2, Giorgio Parisi 3 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 82, 4 (2010) 040105 The infrared behaviour of a non-mean field spin-glass system is analysed, and the critical exponent related to the divergence of the correlation length is computed at two loops within the epsilon-expansion technique with two independent methods. Both methods yield the

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Quantum and thermal Casimir interaction between a sphere and a plate: Comparison of Drude and plasma models

Roya Zandi 1, Thorsten Emig 2, 3, Umar Mohideen 1 Physical Review B 81 (2010) 195423 We calculate the Casimir interaction between a sphere and a plate, both described by the plasma model, the Drude model, or generalizations of the two models. We compare the results at both zero and finite temperatures. At asymptotically large separations we obtain analytical results for the

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Quantum algorithm for exact Monte Carlo sampling

Nicolas Destainville 1, Bertrand Georgeot 1, Olivier Giraud 1, 2 Physical Review Letters 104 (2010) 250502 We build a quantum algorithm which uses the Grover quantum search procedure in order to sample the exact equilibrium distribution of a wide range of classical statistical mechanics systems. The algorithm is based on recently developed exact Monte Carlo sampling methods, and yields a polynomial gain

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Quantifying Slow Evolutionary Dynamics in RNA Fitness Landscapes

P. Sulc 1, A. Wagner 2, 3, O. C. Martin 1, 4 Journal of Bioinformatics and Computational Biology 8 (2010) 1027-1040 We re-examine the evolutionary dynamics of RNA secondary structures under directional selection towards an optimum RNA structure. We find that the punctuated equilibria lead to a very slow approach to the optimum, following on average an inverse power of the evolutionary time.

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