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math.PR2025
Lower deviation probabilities for supercritical multi-type Galton--Watson processes
Tan Jiangrui
This paper provides a detailed analysis of the lower deviation probability properties for a -type () Galton--Watson (GW) process $\{\textbf{Z}_n=(Z_n^{(i)})_{1\le i\le d};n…
math.PR2023
Characterization of fixed points of infinite-dimensional generating functions
Jiangrui Tan, Mei Zhang
This paper is concerned with the characterizations of fixed points of the generating function of branching processes with countably infinitely many types. We assume each particle o…