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math.PR2025
The Genealogy of Conditioned Critical Galton--Watson Trees
Jiayan Guo, Wenming Hong
Let be the random family tree associated with the critical Galton--Watson process . Geiger (1999) provided an explicit representation of the law of cond…
math.PR2025
On the maximal displacement of critical branching random walk in random environment
Wenxin Fu, Wenming Hong
In this article, we study the maximal displacement of critical branching random walk in random environment. Let be the maximal displacement of a particle in generation , a…