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

    LPSM, Sorbonne Université

  • MASt in Mathematics

    University of Cambridge

  • Ingénieur Statisticien

    ENSAE ParisTech

Events
Publications
(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.
(2020). A semigroup approach to the convergence rate of a collisionless gas. Kinetic and Related Models, vol. 13, 6.
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.
Past Talks
Simulations