Open Access
2024 On the spine of the two-particle Fleming-Viot process driven by Brownian motion
Krzysztof Burdzy, Tvrtko Tadić
Author Affiliations +
Electron. Commun. Probab. 29: 1-10 (2024). DOI: 10.1214/24-ECP581

Abstract

The spine of the two-particle Fleming-Viot process driven by Brownian motion is not a Bessel-3 process.

Funding Statement

Supported in part by Simons Foundation Grants 506732 and 928958.

Version Information

This article was first posted with the incorrect name of author Tvrtko Tadić. The metadata were corrected on 26 March 2024.

Acknowledgments

We are grateful to Don Marshall and Jan Swart for the most useful advice. We thank the referees for finding and correcting a significant error in the first version of this article and for many suggestions for improvement.

Citation

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Krzysztof Burdzy. Tvrtko Tadić. "On the spine of the two-particle Fleming-Viot process driven by Brownian motion." Electron. Commun. Probab. 29 1 - 10, 2024. https://doi.org/10.1214/24-ECP581

Information

Received: 12 June 2023; Accepted: 4 March 2024; Published: 2024
First available in Project Euclid: 19 March 2024

Digital Object Identifier: 10.1214/24-ECP581

Subjects:
Primary: 60G17 , 60J65 , 60J80

Keywords: Bessel process , Brownian motion , Fleming-Viot type process , logarithmic transformation

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