On the Empty Balls of Critical and Subcritical Super-Brownian Motions with General Branching Mechanisms

Shuxiong Zhang (), Jiawei Liu () and Jie Xiong ()
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Shuxiong Zhang: Anhui Normal University
Jiawei Liu: Jiangxi Normal University
Jie Xiong: Southern University of Science and Technology

Journal of Theoretical Probability, 2025, vol. 38, issue 4, 1-23

Abstract: Abstract Let $$\{X_t\}_{t\ge 0}$$ { X t } t ≥ 0 be a d-dimensional critical or subcritical super-Brownian motion started from the Lebesgue measure. Denote by $$R_t:=\sup \{u>0: X_t(\{x\in \mathbb {R}^d:|x| 0 : X t ( { x ∈ R d : | x |

Keywords: Super-Brownian motion; Empty ball; Partial differential equation; 60J68; 60F05; 60G57 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s10959-025-01450-9

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