Abstract
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.
Acknowledgments
We are grateful to Rodrigo Bañuelos for very useful advice. We thank the referees for very detailed reports and many suggestions for improvement.
Citation
Krzysztof Burdzy. János Engländer. "The spine of the Fleming–Viot process driven by Brownian motion." Ann. Probab. 52 (3) 983 - 1015, May 2024. https://doi.org/10.1214/23-AOP1678
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