A note on the rightmost particle in a Fleming-Viot process

Amine Asselah; Marie-Noémie Thai

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arXiv · 1212.4168

A note on the rightmost particle in a Fleming-Viot process

Amine Asselah·Marie-Noémie Thai

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Abstract

We consider N nearest neighbor random walks on the positive integers with a drift towards the origin. When one walk reaches the origin, it jumps to the position of one of the other N-1 walks, chosen uniformly at random. We show that this particle system is ergodic, and establish some exponential moments of the rightmost position, under the stationary measure.

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Amine Asselah, Marie-Noémie Thai. 2012-12-17. A note on the rightmost particle in a Fleming-Viot process. https://arxiv.org/abs/1212.4168

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