Armand Bernou
Armand Bernou

Maitre de conférences

About Me

I am Maitre de Conférences (~ Associate Professor) at Université Claude Bernard Lyon 1.

My research focuses on problems originating from physics in which a stochastic component plays a key role. This randomness mostly originates from molecular behaviors, such as inter-collisions and interactions with the boundary in kinetic theory, from some extra microstructure, or from diffusive effects when studying nonlinear diffusions. Mathematically, the tools I use come mainly from probability theory (Harris theorem, coupling techniques, stochastic calculus, derivation in the space of measures) and from the theory of partial differential equations.

Before moving to Lyon, I was a Civis3I Postdoctoral Fellow (part of the MSCA action) at University La Sapienza, under the supervision of Alessandra Faggionato. Before that, I was a postdoc researcher at the LJLL (Sorbonne Université), under the supervision of Mitia Duerinckx (FNRS) and Antoine Gloria (LJLL, SU). I studied for my PhD at the LPSM (Sorbonne Université) under the supervision of Nicolas Fournier (LPSM, Sorbonne Université) and Stéphane Mischler (CEREMADE, Université Paris Dauphine).

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Interests
  • Mean-field limits;
  • Kinetic theory;
  • Boundary effects;
  • Nonlinear diffusions;
  • Stochastic homogenization.
Education
  • PhD in Applied Mathematics

    LPSM, Sorbonne Université

  • MASt in Mathematics

    University of Cambridge

  • Ingénieur Statisticien

    ENSAE ParisTech

Events
Publications
(2026). Creation of chaos for interacting Brownian particles. Stochastic Processes and their Applications, vol. 193.
(2025). Uniform-in-time estimates on corrections to mean field for interacting Brownian particles. Probability Theory and Related Fields, vol. 194.
(2022). Hypocoercivity for kinetic linear equations in bounded domains with general Maxwell boundary condition. Annales de l’Institut Henri Poincaré C - Analyse Non Linéaire, 40.
(2022). A coupling approach for the convergence to equilibrium for a collisionless gas. Annals of Applied Probability, 32(2).
(2022). Convergence toward the steady state of a collisionless gas with Cercignani–Lampis boundary condition. Communications in Partial Differential Equations, vol. 47, 4.
(2022). On Subexponential Convergence to Equilibrium of Markov Processes. Séminaire de Probabilités LI.
Preprints
Miscellaneous
(2022). Invariance principle for the random walk in random environment. Oberwolfach Report of the Arbeitsgemeinschaft: Quantitative Stochastic Homogenization.
(2020). Long-Time Behavior of Kinetic Equations with Boundary Effects. PhD Thesis, Sorbonne Université.
Talks
Simulations