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arXiv · 2308.14290

The spine of two-particle Fleming-Viot process in a bounded interval

Krzysztof Burdzy·János Engländer·Donald E. Marshall
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Abstract

We show that the spine of the Fleming-Viot process driven by Brownian motion and starting with two particles in a bounded interval has a different law from that of Brownian motion conditioned to stay in the interval forever. Furthermore, we estimate the ``extra drift.''

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Krzysztof Burdzy, János Engländer, Donald E. Marshall. 2023-08-28. The spine of two-particle Fleming-Viot process in a bounded interval. https://arxiv.org/abs/2308.14290

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