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math.PR2023
Self-interacting diffusions: long-time behaviour and exit-problem in the convex case
Ashot Aleksian, Pierre del Moral, Aline Kurtzmann +1
We study a class of time-inhomogeneous diffusion: the self-interacting one. We show a convergence result with a rate of convergence that does not depend on the diffusion coefficien…
math.PR2023
A Lyapunov approach to stability of positive semigroups: An overview with illustrations
Marc Arnaudon, Pierre Del Moral, El Maati Ouhabaz
The stability analysis of possibly time varying positive semigroups on non necessarily compact state spaces, including Neumann and Dirichlet boundary conditions is a notoriously di…