3 papers
math.PR2025
Concentration around a stable equilibrium for the non-autonomous model
Dimitri Faure
We consider time-dependent singular stochastic partial differential equations on the three-dimensional torus. These equations are only well-posed after one adds renormalization ter…
math.PR2023
A general martingale approach to large noise homogenization
Dimitri Faure, Mathias Rousset
We consider Markov processes with generator of the form , in which generates a so-called dominant process that converges at la…
math.PR2021
Averaging of semigroups associated to diffusion processes on a simplex
Dimitri Faure
We study the averaging of a diffusion process living in a simplex of , . We assume that its infinitesimal generator can be decomposed as a sum of two gener…