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20232025
most citedImpacts of Tempo and Mode of Environmental Fluctuations on Population Growth: Slow- and Fast-Limit Approximations of Lyapunov Exponents for Periodic and Random Environments

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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

Ergodicity and regularity properties of ODEs with semi-Markov switching

Tobias Hurth, Edouard Strickler

This paper is devoted to the study of a stochastic process obtained by random switching between a finite collection of vector fields. Such processes have recently been the focus of…