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Bernard Derrida

Bernard Derrida

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Mathematics
France
2026

D-Index & Metrics

Mathematics

D-Index
93
Citations
31606
World Ranking
61
National Ranking
4

Physics

D-Index
96
Citations
32624
World Ranking
1881
National Ranking
74

Research.com Recognitions

  • 2026 - Research.com Mathematics in France Leader Award
  • 2025 - Research.com Mathematics in France Leader Award
  • 2023 - Research.com Mathematics in France Leader Award
  • 2015 - Three Physicists Prize (Prix des trois physiciens), École Normale Supérieure (ENS)
  • 2011 - Member of Academia Europaea
  • 2001 - Ampère Prize (Prix Ampère de l’Électricité de France), French Academy of Sciences

Overview

Bernard Derrida is affiliated with Collège de France in France and has a research profile centered on mathematics and physics. Their work spans 15 publications in mathematics and 13 in physics and astronomy, with significant contributions to mathematical physics and related subfields.

The main subfields of Derrida's research include:

  • Mathematical Physics
  • Statistical and Nonlinear Physics
  • Condensed Matter Physics
  • Geometry and Topology
  • Finance

Derrida's research topics focus primarily on stochastic processes and statistical mechanics, with additional emphasis on theoretical and computational physics. Key topics they have engaged with are:

  • Stochastic processes and statistical mechanics
  • Theoretical and Computational Physics
  • Advanced Thermodynamics and Statistical Mechanics
  • Algebraic structures and combinatorial models
  • Nonlinear Dynamics and Pattern Formation
  • Quantum chaos and dynamical systems
  • Stochastic processes and financial applications

Frequent publication venues for Derrida include the Journal of Statistical Physics and arXiv (Cornell University), among others. These venues have hosted multiple papers reflecting their efforts in statistical mechanics and related fields:

  • Journal of Statistical Physics (3 publications)
  • arXiv (Cornell University) (3 publications)
  • Comptes Rendus Physique (2 publications)
  • NAKALA (2 publications)
  • The Annals of Probability (1 publication)

Bernard Derrida's recent papers include:

  • "Large Deviations in the Symmetric Simple Exclusion Process with Slow Boundaries," 2021, Journal of Statistical Physics
  • "The Derrida-Retaux conjecture on recursive models," 2021, The Annals of Probability
  • "Results and Conjectures on a Toy Model of Depinning," 2020, Moscow Mathematical Journal
  • "Results and conjectures on a toy model of depinning," 2020, arXiv (Cornell University)
  • "A Perturbative Approach to the Macroscopic Fluctuation Theory," 2025, Journal of Statistical Physics

Derrida has collaborated frequently with several researchers, including:

  • Zhan Shi
  • Peter Mottishaw
  • Xinxing Chen
  • Patrick Charbonneau
  • Thomas Duquesne

Throughout their career, Bernard Derrida has been recognized by scientific institutions. Awards include the Ampère Prize granted by the French Academy of Sciences in 2001, membership in the Academia Europaea since 2011, and the Three Physicists Prize (Prix des trois physiciens) from École Normale Supérieure in 2015.

Best Publications

  • Random-energy model: An exactly solvable model of disordered systems

    Bernard Derrida

  • Exact solution of a 1d asymmetric exclusion model using a matrix formulation

    Bernard Derrida;M. R. Evans;V. Hakim;V. Pasquier

  • Non-equilibrium steady states: fluctuations and large deviations of the density and of the current

    Bernard Derrida

  • AN EXACTLY SOLUBLE NON-EQUILIBRIUM SYSTEM : THE ASYMMETRIC SIMPLE EXCLUSION PROCESS

    B. Derrida

  • Random-Energy Model: Limit of a Family of Disordered Models

    B. Derrida

  • Random networks of automata: a simple annealed approximation

    B. Derrida;Y. Pomeau

  • An exact solution of a one-dimensional asymmetric exclusion model with open boundaries

    B. Derrida;E. Domany;D. Mukamel

  • An Exactly Solvable Asymmetric Neural Network Model

    B. Derrida;E. Gardner;A. Zippelius

  • Optimal storage properties of neural network models

    E Gardner;B Derrida

  • Shift in the velocity of a front due to a cutoff

    Eric Brunet;Bernard Derrida

  • Polymers on disordered trees, spin glasses, and traveling waves

    B. Derrida;H. Spohn

  • Exact Large Deviation Function in the Asymmetric Exclusion Process

    Bernard Derrida;Joel L. Lebowitz

  • Current Fluctuations in Nonequilibrium Diffusive Systems: An Additivity Principle

    T. Bodineau;Bernard Derrida

  • Velocity and Diffusion Constant of a Periodic One-Dimensional Hopping Model

    Bernard Derrida

  • Exact solution of the totally asymmetric simple exclusion process: Shock profiles

    B. Derrida;S. A. Janowsky;J. L. Lebowitz;E. R. Speer

  • Distribution of current in nonequilibrium diffusive systems and phase transitions.

    T. Bodineau;B. Derrida

  • Lyapounov exponent of the one dimensional Anderson model : weak disorder expansions

    B. Derrida;E. Gardner

  • Large Deviation of the Density Profile in the Steady State of the Open Symmetric Simple Exclusion Process

    Bernard Derrida;J. L. Lebowitz;E. R. Speer

  • A transfer-matrix approach to random resistor networks

    B Derrida;J Vannimenus

  • Exact first-passage exponents of 1D domain growth: Relation to a reaction-diffusion model.

    Bernard Derrida;Vincent Hakim;Vincent Pasquier

Frequent Co-Authors

Joel L. Lebowitz
Joel L. Lebowitz Rutgers, The State University of New Jersey
Martin R. Evans
Martin R. Evans University of Edinburgh
Yves Pomeau
Yves Pomeau École Polytechnique
Hans J. Herrmann
Hans J. Herrmann ESPCI Paris
Jean-Marc Luck
Jean-Marc Luck University of Paris-Saclay
Giambattista Giacomin
Giambattista Giacomin Université Paris Cité
Jesper Lykke Jacobsen
Jesper Lykke Jacobsen École Normale Supérieure
Julia M. Yeomans
Julia M. Yeomans University of Oxford
Jan de Boer
Jan de Boer University of Amsterdam

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