The compact support property for the Λ-Fleming-Viot process with underlying Brownian motion

2012/08/21 by Huili Liu, Liu, Huili, Xiaowen Zhou +1
Economics, Econometrics and Finance · Mathematics · #FOS: Mathematics #Mathematical Dynamics and Fractals #Probability (math.PR) #Stochastic processes and financial applications #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.1208.4152

openalex publication_date 2012/08/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using the lookdown construction of Donnelly and Kurtz we prove that, at any fixed positive time, the Λ-Fleming-Viot process with underlying Brownian motion has a compact support provided that the corresponding Λ-coalescent comes down from infinity not too slowly. We also find both upper bound and lower bound on the Hausdorff dimension for the support.

Related

• Some support properties for a class of Lambda-Fleming-Viot processes
• Speed of coming down from infinity for Λ-Fleming-Viot initial support
• Exact modulus of continuities for Λ-Fleming-Viot processes with Brownian spatial motion
• Instantaneous support propagation for Λ-Fleming-Viot processes
• The Segregated Lambda-coalescent