1 citations · 2 across the 4 of their papers we have counts for
4 papers
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.…
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…
Impacts of Tempo and Mode of Environmental Fluctuations on Population Growth: Slow- and Fast-Limit Approximations of Lyapunov Exponents for Periodic and Random Environments
Pierre Monmarché, Sebastian J. Schreiber, Édouard Strickler
We examine to what extent the tempo and mode of environmental fluctuations matter for the growth of structured populations. The models are switching, linear ordinary differential e…
Asymptotic expansion of the invariant measurefor Markov-modulated ODEs at high frequency
Pierre Monmarché, Edouard Strickler
We consider time-inhomogeneous ODEs whose parameters are governed by an underlying ergodic Markov process. When this underlying process is accelerated by a factor $\varepsilon^{-1}…