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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.…
math.PR2025
Quasi-compactness for dominated kernels with application to quasi-stationary distribution theory
Denis Villemonais
We establish a domination principle for positive operators, which provides an upper bound on the essential spectral radius and yields quasi-compactness criteria on weighted supremu…