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Showing 2025 · math.PRShow all
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math.PR2025
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…
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…
math.PR2025
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…