Cedric Bernardin
Cedric Bernardin
Mathematics Professor at HSE University
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Momentum conserving model with anomalous thermal conductivity in low dimensional systems
G Basile, C Bernardin, S Olla
Physical review letters 96 (20), 204303, 2006
Fourier’s law for a microscopic model of heat conduction
C Bernardin, S Olla
Journal of Statistical Physics 121, 271-289, 2005
Thermal conductivity for a momentum conservative model
G Basile, C Bernardin, S Olla
Communications in Mathematical Physics 287, 67-98, 2009
Transport properties of a chain of anharmonic oscillators with random flip of velocities
C Bernardin, S Olla
Journal of Statistical Physics 145, 1224-1255, 2011
3/4-fractional superdiffusion in a system of harmonic oscillators perturbed by a conservative noise
C Bernardin, P Gonçalves, M Jara
Archive for rational mechanics and analysis 220, 505-542, 2016
Anomalous diffusion for a class of systems with two conserved quantities
C Bernardin, G Stoltz
Nonlinearity 25 (4), 1099, 2012
Hydrodynamics for a system of harmonic oscillators perturbed by a conservative noise
C Bernardin
Stochastic processes and their applications 117 (4), 487-513, 2007
Slow to fast infinitely extended reservoirs for the symmetric exclusion process with long jumps
C Bernardin, P Goncalves, BO Jimenez
arXiv preprint arXiv:1702.07216, 2017
Thermodynamics and non-equilibrium macroscopic dynamics of chains of anharmonic oscillators
C Bernardin, S Olla
Lecture Notes available at https://www. ceremade. dauphine. fr/olla, 2014
Harmonic systems with bulk noises
C Bernardin, V Kannan, JL Lebowitz, J Lukkarinen
Journal of Statistical Physics 146, 800-831, 2012
Anomalous fluctuations for a perturbed Hamiltonian system with exponential interactions
C Bernardin, P Goncalves
Commun. Math. Phys. 325, 291–332, 2014
Fluctuations in the occupation time of a site in the asymmetric simple exclusion process
C Bernardin
The Annals of Probability 32 (1B), 855-879, 2004
Quantum dynamics under continuous projective measurements: Non-Hermitian description and the continuum-space limit
V Dubey, C Bernardin, A Dhar
Physical Review A 103 (3), 032221, 2021
Thermal conductivity in harmonic lattices with random collisions
G Basile, C Bernardin, M Jara, T Komorowski, S Olla
Thermal transport in low dimensions: from statistical physics to nanoscale …, 2016
Small perturbation of a disordered harmonic chain by a noise and an anharmonic potential
C Bernardin, F Huveneers
Probability Theory and Related Fields 157 (1), 301-331, 2013
Green-kubo formula for weakly coupled systems with noise
C Bernardin, F Huveneers, JL Lebowitz, C Liverani, S Olla
Communications in Mathematical Physics 334, 1377-1412, 2015
Thermal conductivity for a noisy disordered harmonic chain
C Bernardin
Journal of Statistical Physics 133, 417-433, 2008
A microscopic model for a one parameter class of fractional Laplacians with Dirichlet boundary conditions
C Bernardin, P Gonçalves, B Jiménez-Oviedo
Archive for Rational Mechanics and Analysis 239 (1), 1-48, 2021
Fractional equation description of an open anomalous heat conduction set-up
A Kundu, C Bernardin, K Saito, A Kundu, A Dhar
Journal of Statistical Mechanics: Theory and Experiment 2019 (1), 013205, 2019
Regularity of the diffusion coefficient for lattice gas reversible under Bernoulli measures
C Bernardin
Stochastic processes and their applications 101 (1), 43-68, 2002
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