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193 papers · 1 filter
General multi-scale estimates for Lyapunov data of Perron-Frobenius matrices. The case of diluted autocatalytic chemical reaction networks
Jeremie Unterberger
Autocatalytic chemical reaction networks are dynamical systems whose linearization around zero, dX/dt = AX, is represented by a Perron-Frobenius matrix A with positive Lyapunov exp…
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…
Flows driven by multi-indices Rough Paths
Carlo Bellingeri, Yvain Bruned, Yingtong Hou
In this work, we introduce a solution theory for scalar-valued rough differential equations driven by multi-indices rough paths. To achieve this task, we will show how the flow app…
An individual-based stochastic model reveals strong constraints on allometric relationships with minimal metabolic and ecological assumptions
Sylvain Billiard, Virgile Brodu, Nicolas Champagnat +1
We design a stochastic individual-based model structured in energy, for single species consuming an external resource, where populations are characterized by a typical energy at bi…
Drawdowns of diffusions
Paavo Salminen, Pierre Vallois
In this paper we give excursion theoretical proofs of Lehoczky's formula (in an extended form allowing a lower bound for the underlying diffusion) for the joint distribution of the…