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19982026
most citedComputational methods for the dynamics of the nonlinear Schrodinger/Gross-Pitaevskii equations

398 citations

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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

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…

math.PR2025

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…

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…