World's Best Scientists 2026 revealed!

Overview

Michel Benaïm is affiliated with the University of Neuchâtel in Switzerland and has contributed extensively to the field of Mathematics through a variety of research topics and publications. Their work primarily spans areas involving stochastic processes, mathematical dynamics, and applications in ecology and finance.

Their recent papers include the following:

  • "Untangling the role of temporal and spatial variations in persistence of populations" (2023) published in Theoretical Population Biology
  • "When can a population spreading across sink habitats persist?" (2024) published in Journal of Mathematical Biology
  • "Degenerate processes killed at the boundary of a domain" (2021) published on arXiv (Cornell University)
  • "Stochastic persistence in degenerate stochastic Lotka-Volterra food chains" (2022) published in Discrete and Continuous Dynamical Systems - B
  • "Analysis of an Adaptive Biasing Force method based on self-interacting dynamics" (2020) published in Electronic Journal of Probability

Benaïm has frequently collaborated with several co-authors, including:

  • Tobias Hurth
  • Claude Lobry
  • Tewfik Sari
  • Édouard Strickler
  • Nicolas Champagnat

The scientist has published in a range of venues, most notably:

  • arXiv (Cornell University)
  • Journal of Mathematical Biology
  • Probability Theory and Related Fields
  • Theoretical Population Biology
  • Discrete and Continuous Dynamical Systems - B

Michel Benaïm's book publication includes:

  • Markov Chains on Metric Spaces (2022, Springer Nature)

The main field of study is Mathematics, with a significant focus on these subfields:

  • Mathematical Physics
  • Statistics and Probability
  • Finance
  • Public Health, Environmental and Occupational Health
  • Modeling and Simulation

The primary topics of their research work encompass:

  • Stochastic processes and statistical mechanics
  • Mathematical Dynamics and Fractals
  • Markov Chains and Monte Carlo Methods
  • Stochastic processes and financial applications
  • Mathematical and Theoretical Epidemiology and Ecology Models
  • Ecology and Vegetation Dynamics Studies
  • Evolution and Genetic Dynamics

Best Publications

  • Dynamics of stochastic approximation algorithms

    Michel Benaïm

  • Deterministic Approximation of Stochastic Evolution in Games

    Michel Benaïm;Jörgen W. Weibull

  • A class of mean field interaction models for computer and communication systems

    Michel Benaïm;Jean-Yves Le Boudec

  • Stochastic Approximations and Differential Inclusions

    Michel Benaïm;Josef Hofbauer;Sylvain Sorin

  • Persistence in fluctuating environments

    Sebastian J. Schreiber;Michel Benaïm;Kolawolé A. S. Atchadé

  • A Dynamical System Approach to Stochastic Approximations

    Michel Benaim

  • Mixed Equilibria and Dynamical Systems Arising from Fictitious Play in Perturbed Games

    Michel Benaı̈m;Morris W Hirsch

  • Asymptotic pseudotrajectories and chain recurrent flows, with applications

    Michel BenaÏm;Morris W. Hirsch

  • Qualitative properties of certain piecewise deterministic Markov processes

    Michel Benaïm;Stéphane Le Borgne;Florent Malrieu;Pierre-André Zitt

  • Stochastic Approximations and Differential Inclusions, Part II: Applications

    Michel Benaïm;Josef Hofbauer;Sylvain Sorin

  • Learning in games with unstable equilibria

    Michel Benaïm;Josef Hofbauer;Ed Hopkins

  • Self-interacting diffusions

    Michel Benaïm;Michel Ledoux;Olivier Raimond

  • Quantitative ergodicity for some switched dynamical systems

    Michel Benaïm;Stéphane Le Borgne;Florent Malrieu;Pierre-André Zitt

  • Persistence of structured populations in random environments

    Michel Benaïm;Sebastian J. Schreiber

  • Recursive algorithms, urn processes and chaining number of chain recurrent sets

    Michel Benaïm

  • Exponential concentration for first passage percolation through modified Poincaré inequalities

    Michel Benaïm;Raphaël Rossignol

  • Lotka–Volterra with randomly fluctuating environments or “how switching between beneficial environments can make survival harder”

    Michel Benaïm;Claude Lobry

  • Vertex-reinforced random walks and a conjecture of Pemantle

    Michel Benaïm

  • Robust permanence and impermanence for stochastic replicator dynamics

    Michel Benaïm;Josef Hofbauer;William H. Sandholm

  • A class of mean field interaction models for computer and communication systems

    M. Benaim;J.-Y. Le Boudec

Frequent Co-Authors

Josef Hofbauer
Josef Hofbauer University of Vienna
Morris W. Hirsch
Morris W. Hirsch University of California, Berkeley
Itai Benjamini
Itai Benjamini Weizmann Institute of Science
Jörgen W. Weibull
Jörgen W. Weibull Stockholm School of Economics
Jean-Yves Le Boudec
Jean-Yves Le Boudec École Polytechnique Fédérale de Lausanne
Gilles Pagès
Gilles Pagès Sorbonne University
William H. Sandholm
William H. Sandholm University of Wisconsin–Madison
Gérard Ben Arous
Gérard Ben Arous Courant Institute of Mathematical Sciences
Michel Ledoux
Michel Ledoux Paul Sabatier University

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