3 papers
math.AP2022
Regularity estimates for diffusion semigroups on weighted Sobolev spaces
Maxime Hauray, Yen V. Vuong
In this work, we consider a class of second order uniformly elliptic operators with smooth and bounded coefficients. We provide some estimates on the norm of the semigroup generate…
math.PR2022
Central limit theorem for a spatial stochastic epidemic model with mean field interaction
Maxime Hauray, Etienne Pardoux, Yen V. Vuong
In this article, we study an interacting particle system in the context of epidemiology where the individuals (particles) are characterized by their position and infection state. W…
math.PR2021
Conditional propagation of chaos in a spatial stochastic epidemic model with common noise
Yen V. Vuong, Maxime Hauray, Etienne Pardoux
We study a stochastic spatial epidemic model where the individuals carry two features: a position and an infection state, interact and move in . In this Markovian model,…