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arXiv · 1411.0533

Long time behaviour of 1/2 Hölder diffusion population processes

Bastien Marmet
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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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Bastien Marmet. 2014-11-03. Long time behaviour of 1/2 Hölder diffusion population processes. https://arxiv.org/abs/1411.0533

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