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math.PR2025
Speed of coming down from infinity for -Fleming-Viot initial support
Huili Liu, Xiaowen Zhou
The -Fleming-Viot process is a probability measure-valued process that is dual to a -coalescent that allows multiple collisions. In this paper, we consider a class of -…
math.PR2024
Behaviors near explosion of nonlinear CSBPs with regularly varying mechanisms
Bo Li, Clément Foucart, Xiaowen Zhou
We study the explosion phenomenon of nonlinear continuous-state branching processes (nonlinear CSBPs). First an explicit integral test for explosion is designed when the rate funct…