Cedric Bernardin

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Macroscopic Fluctuation Theory for Ginzburg-Landau dynamics with long range interactions

Raphaël Chétrite , Cedric Bernardin
Journal of Statistical Physics, 2024
Article dans une revue hal-04727377 v1
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EQUILIBRIUM FLUCTUATIONS FOR DIFFUSIVE SYMMETRIC EXCLUSION WITH LONG JUMPS AND INFINITELY EXTENDED RESERVOIRS

Cedric Bernardin , Patricia Goncalves , Milton Jara , Stefano Scotta
Annales de l'Institut Henri Poincaré, 2022, 58 (1), pp.303-342. ⟨10.1214/21-AIHP1176⟩
Article dans une revue hal-02492181 v1

Heat transport in an ordered harmonic chain in presence of a uniform magnetic field

Junaid Bhat , Cedric Bernardin , Gaëtan Cane , Abhishek Dhar
Journal of Statistical Physics, 2022, 186 (1), ⟨10.1007/s10955-021-02848-5⟩
Article dans une revue hal-03401413 v1
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A Microscopic Derivation of Coupled SPDE's with a KPZ Flavor

Ragaa Ahmed , Cedric Bernardin , Patricia Gonçalves , Marielle Simon
Annales de l'Institut Henri Poincaré, 2022, 58 (2), ⟨10.1214/21-AIHP1196⟩
Article dans une revue hal-02307963 v1

Emergence of jumps in quantum trajectories via homogeneization

Tristan Benoist , Cédric Bernardin , Raphaël Chétrite , Reda Chhaibi , Joseph Najnudel et al.
Communications in Mathematical Physics, 2021, 387 (3), pp.1821-1867. ⟨10.1007/s00220-021-04179-8⟩
Article dans une revue hal-03157272 v1

Localization effects due to a random magnetic field on heat transport in a harmonic chain

Gaëtan Cane , Junaid Majeed Bhat , Abhishek Dhar , Cedric Bernardin
Journal of Statistical Mechanics: Theory and Experiment, In press, 11, ⟨10.1088/1742-5468/ac32b8⟩
Article dans une revue hal-03401370 v1
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DERIVATION OF COUPLED KPZ-BURGERS EQUATION FROM MULTI-SPECIES ZERO-RANGE PROCESSES

Cedric Bernardin , Tadahisa Funaki , Sunder Sethuraman
The Annals of Applied Probability, 2021, 31 (4), pp.1966-2017. ⟨10.1214/20-AAP1639⟩
Article dans une revue hal-02268517 v1
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From fluctuating kinetics to fluctuating hydrodynamics: a $\Gamma$-Convergence of large deviations functionals approach

Julien Barré , Cedric Bernardin , Raphaël Chétrite , Yash Chopra , Mauro Mariani
Journal of Statistical Physics, 2020, 180, pp.1095-1127. ⟨10.1007/s10955-020-02598-w⟩
Article dans une revue hal-02309363 v1
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A MICROSCOPIC MODEL FOR A ONE PARAMETER CLASS OF FRACTIONAL LAPLACIANS WITH DIRICHLET BOUNDARY CONDITIONS

Cedric Bernardin , P. Goncalves , Byron Jiménez Oviedo
Archive for Rational Mechanics and Analysis, 2020, 239, pp.1-48. ⟨10.1007/s00205-020-01549-9⟩
Article dans une revue hal-01721137 v2

Fractional equation description of an open anomalous heat conduction set-up

Aritra Kundu , Anupam Kundu , Cedric Bernardin , Keji Saito , Abhishek Dhar
Journal of Statistical Mechanics: Theory and Experiment, 2019, 2019 (1), pp.013205. ⟨10.1088/1742-5468/aaf630⟩
Article dans une revue hal-03401493 v1
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HYDRODYNAMIC LIMIT FOR A DISORDERED HARMONIC CHAIN

Cedric Bernardin , François Huveneers , Stefano Olla
Communications in Mathematical Physics, 2019, 365 (1), pp.215-237. ⟨10.1007/s00220-018-3251-4⟩
Article dans une revue hal-01721245 v3
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Slow to fast infinitely extended reservoirs for the symmetric exclusion process with long jumps

Cedric Bernardin , Patricia Goncalves , Byron Oviedo Jimenez
Markov Processes And Related Fields, 2019, 25 (2), pp.217-274
Article dans une revue hal-01474718 v2
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Foreword

Cédric Bernardin , Patrick Flandrin
Comptes Rendus. Physique, 2019, Fourier and the science of today / Fourier et la science d’aujourd’hui, 20 (5), pp.387-391. ⟨10.1016/j.crhy.2019.09.002⟩
Article dans une revue hal-02332718 v1
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WEAKLY HARMONIC OSCILLATORS PERTURBED BY A CONSERVATIVE NOISE

Cedric Bernardin , Patricia Goncalves , Milton Jara
The Annals of Applied Probability, 2018, ⟨10.1214/17-AAP1330⟩
Article dans une revue hal-01394142 v2
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Density large deviations for multidimensional stochastic hyperbolic conservation laws

Julien Barré , Cedric Bernardin , Raphaël Chetrite
Journal of Statistical Physics, 2017, Journal of Statistical Physics, 170 (3), pp.466-491. ⟨10.1007/s10955-017-1935-3⟩
Article dans une revue hal-01465293 v2
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OCCUPATION TIMES OF LONG-RANGE EXCLUSION AND CONNECTIONS TO KPZ CLASS EXPONENTS

Cédric Bernardin , Patricia Goncalves , Sunder Sethuraman
Probability Theory and Related Fields, 2016, 166, pp.365-428. ⟨10.1007/s00440-015-0661-5⟩
Article dans une revue hal-01144124 v1
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3/4 Fractional superdiffusion of energy in a system of harmonic oscillators perturbed by a conservative noise

Cedric Bernardin , Patricia Gonçalves , Milton Jara
Archive for Rational Mechanics and Analysis, 2016, 220 (2), pp.505--542. ⟨10.1007/s00205-015-0936-0⟩
Article dans une revue hal-00943116 v3
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Green-Kubo formula for weakly coupled system with dynamical noise.

Cedric Bernardin , François Huveneers , Joel L. Lebowitz , Carlangelo Liverani , Stefano Olla
Communications in Mathematical Physics, 2015, 334 (3), pp.1377-1412. ⟨10.1007/s00220-014-2206-7⟩
Article dans une revue hal-00911148 v1
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Diffusion of energy in chains of oscillators with bulk noise

Cedric Bernardin
From Particle Systems to Partial Differential Equations II, 2015, Springer Proc. Math. Stat., 129, ⟨10.1007/978-3-319-16637-7_1⟩
Article dans une revue hal-01052296 v2
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Superdiffusion of energy in Hamiltonian systems perturbed by a conservative noise

Cedric Bernardin
Proceedings in Mathematics, 2014, From particle systems to partial differential equations, 75, pp.129-141
Article dans une revue ensl-00909796 v1
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Green-Kubo formula for weakly coupled system with dynamical noise

Cédric Bernardin , François Huveneers , Joel L. Lebowitz , Liverani Carlangelo , Stefano Olla
Communications in Mathematical Physics, 2014, pp.DOI: 10.1007/s00220-014-2206-7
Article dans une revue hal-01069774 v1
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Equilibrium fluctuations of additive functionals of zero-range models

Cedric Bernardin , Patricia Gonçalves , Sunder Sethuraman
Proceedings in Mathematics, 2014, 75, pp.143-160
Article dans une revue ensl-00909797 v1
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Entropy of non-equilibrium stationary measures of boundary driven TASEP

Cedric Bernardin , Patricia Gonçalves , Claudio Landim
Journal of Statistical Physics, 2013
Article dans une revue hal-00911122 v1
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Anomalous fluctuations for a perturbed hamiltonian system with exponential interactions

Cedric Bernardin , P. Gonçalves
Communications in Mathematical Physics, 2013, pp.44
Article dans une revue ensl-00695381 v2
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Small perturbation of a disordered harmonic chain by a noise and an anharmonic potential

Cedric Bernardin , François Huveneers
Probability Theory and Related Fields, 2013, 157 (1-2), pp.301-331. ⟨10.1007/s00440-012-0458-8⟩
Article dans une revue istex hal-00777266 v3
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A one-dimensional coagulation-fragmentation process with a dynamical phase transition

Cedric Bernardin , Fabio Lucio Toninelli
Stochastic Processes and their Applications, 2012, 122 (4), pp.35
Article dans une revue ensl-00608829 v2
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Homogenization results for a linear dynamics in random Glauber type environment

Cedric Bernardin
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2012, 48 (3), pp.792-818. ⟨10.1214/11-AIHP424⟩
Article dans une revue ensl-00589674 v2
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Anomalous diffusion for a class of systems with two conserved quantities

Cedric Bernardin , Gabriel Stoltz
Nonlinearity, 2012, 25, pp.1099-1133. ⟨10.1088/0951-7715/25/4/1099⟩
Article dans une revue ensl-00909792 v1
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HARMONIC SYSTEMS WITH BULK NOISES

Cedric Bernardin , Venkateshan Kannan , Joel L. Lebowitz , Jani Lukkarinen
Journal of Statistical Physics, 2012, 146 (4), pp.31
Article dans une revue ensl-00635335 v2
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Nonequilibrium Stationary States of Harmonic Chains with Bulk Noises

Cedric Bernardin , Venkateshan Kannan , Joel L. Lebowitz , Jani Lukkarinen
The European Physical Journal B: Condensed Matter and Complex Systems, 2011, 84, pp.685-689
Article dans une revue ensl-00621060 v2
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A SIMPLE PARTICLE MODEL FOR A SYSTEM OF COUPLED EQUATIONS WITH ABSORBING COLLISION TERM

Cedric Bernardin , Valeria Ricci
Kinetic and Related Models , 2011, 4 (3), pp.633 - 668. ⟨10.3934/krm.2011.4.xx⟩
Article dans une revue ensl-00870165 v1
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Transport Properties of a Chain of Anharmonic Oscillators with random flip of velocities

Cedric Bernardin , Stefano Olla
Journal of Statistical Physics, 2011, 145 (5), pp.1224-1255. ⟨10.1007/s10955-011-0385-6⟩
Article dans une revue ensl-00589672 v2
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Entropy of stationary nonequilibrium measures of boundary driven symmetric simple exclusion processes

Cedric Bernardin , C. Landim
Journal of Statistical Physics, 2010, 141 (6), pp.1014-1038. ⟨10.1007/s10955-010-0082-x⟩
Article dans une revue ensl-00589673 v1
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Thermal Conductivity for a Momentum Conserving Model

Giada Basile , Cedric Bernardin , Stefano Olla
Communications in Mathematical Physics, 2009, 287 (1), pp.67-98. ⟨10.1007/s00220-008-0662-7⟩
Article dans une revue hal-00017718 v5
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A momentum conserving model with anomalous thermal conductivity in low dimension

Giada Basile , Cedric Bernardin , Stefano Olla
Physical Review Letters, 2006, 96, pp.204303. ⟨10.1103/PhysRevLett.96.204303⟩
Article dans une revue hal-00009115 v5

A model for two coupled turbulent fluids. Part III: Numerical approximation by finite elements.

Cedric Bernardin , Tomas Chacon-Rebollo , M. Gomez , R. Lewandowski , François Murat
Numerische Mathematik, 2004, 98, pp.33-66
Article dans une revue hal-00018044 v1
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Thermal conductivity in harmonic lattices with random collisions

Giada Basile , Cédric Bernardin , Milton Jara , Tomasz Komorowski , Stefano Olla
Stefano Lepri. Thermal transport in low dimensions: from statistical physics to nanoscale heat transfer, 921, Springer, pp.215, 2016, Springer Lecture Notes in Physics, 978-3-319-29259-5. ⟨10.1007/978-3-319-29261-8_5⟩
Chapitre d'ouvrage hal-01196009 v2

Macroscopic Fluctuation Theory for Ginzburg-Landau dynamics with long range interactions

Raphaël Chétrite , Cedric Bernardin
2024
Pré-publication, Document de travail hal-04727879 v1
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Hydrodynamic limit for a boundary driven super-diffusive symmetric exclusion

Cédric Bernardin , Pedro Cardoso , Patrícia Gonçalves , Stefano Scotta
2022
Pré-publication, Document de travail hal-02884549 v2

Hydrodynamic limit for a boundary driven super-diffusive symmetric exclusion

Cedric Bernardin , Patricia Gonçalves , Stefano Scotta
2020
Pré-publication, Document de travail hal-03028664 v1
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A simple particle model for a system of coupled equations with absorbing collision term

Cedric Bernardin , Valeria Ricci
2011
Pré-publication, Document de travail ensl-00610145 v1

Anomalous diffusion for a class of systems with two conserved quantities

Cedric Bernardin , Gabriel Stoltz
2011
Pré-publication, Document de travail hal-00593617 v1
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Thermal conductivity for a chain of anharmonic oscillators perturbed by a conservative noise

Cedric Bernardin
2009
Pré-publication, Document de travail ensl-00396266 v1
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SUPERDIFFUSIVITY OF ASYMMETRIC ENERGY MODEL IN DIMENSION ONE AND TWO

Cedric Bernardin
2008
Pré-publication, Document de travail ensl-00309069 v1
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Stationary non-equilibrium properties for a heat conduction model

Cedric Bernardin
2008
Pré-publication, Document de travail ensl-00309063 v1
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THERMAL CONDUCTIVITY FOR A NOISY DISORDERED HARMONIC CHAIN

Cedric Bernardin
2008
Pré-publication, Document de travail ensl-00309070 v1