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The Spine of the Fleming-Viot process driven by Brownian motion

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arxiv 2112.01720 v2 pith:3M2GLQRB submitted 2021-12-03 math.PR

The Spine of the Fleming-Viot process driven by Brownian motion

Krzysztof Burdzy , J\'anos Engl\"ander This is my paper
classification math.PR
keywords brownianmotiondomaindrivenfleming-viotlipschitzprocessspine
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We show that the spine of the Fleming-Viot process driven by Brownian motion in a bounded Lipschitz domain with Lipschitz constant less than 1 converges to Brownian motion conditioned to stay in the domain forever.

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