Work

The Spine of Two-Particle Fleming–Viot Process in a Bounded Interval

Year: 2025

Type: book-chapter

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."

Source: Journal of Theoretical Probability

DOI: 10.1007/s10959-025-01401-4

Authors: Krzysztof Burdzy, János Engländer, Donald E. Marshall

Institutions: University of Washington, University of Colorado Boulder

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funder: Simons Foundation