2 papers
math.PR2026
Averaging Principle for Ordinary Differential Equations in a Multiscale Random Environment
Vincent Kagan
We study slow-fast stochastic systems in which a fast process, evolving within several ergodic components, drives the transition rates of a slow jump process switching between thes…
math.PR2025
Averaging principle for jump processes depending on fast ergodic dynamics
Vincent Kagan, Edouard Strickler, Denis Villemonais
We consider a slow-fast stochastic process where the slow component is a jump process on a measurable index set whose transition rates depend on the position of the fast component.…