Long time behaviour of 1/2 Hölder diffusion population processes

2014/11/03 by Bastien Marmet, Marmet, Bastien
Computer Science · Mathematics · Medicine · #Bayesian Methods and Mixture Models #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Probability (math.PR) #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.1411.0533

openalex publication_date 2014/11/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we investigate the long time behavior of a family of diffusion processes with Hölder continuous diffusion terms on a compact set, these process arise naturally in random approximations of an ODE. We will prove that these processes hit the boundary in finite time and prove the existence of a quasi-stationnary distribution

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