A note on the rightmost particle in a Fleming-Viot process
Probability
2012-12-19 v1
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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Cite
@article{arxiv.1212.4168,
title = {A note on the rightmost particle in a Fleming-Viot process},
author = {Amine Asselah and Marie-Noémie Thai},
journal= {arXiv preprint arXiv:1212.4168},
year = {2012}
}
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9 pages