Population size of critical Galton-Watson processes under small deviations and infinite variance

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Vladimir Alekseevich Vatutin, Elena Evgen'evna Dyakonova
Cited by: 0

Abstract

We study the evolution of the population size distribution of a critical Galton-Watson process with infinite variance of the offspring size of particles assuming that the population size is unusually small at the distant moment $n$ of observation.

Fields of Study & Subjects

Stochastic processes and statistical mechanics Mathematical and Theoretical Epidemiology and Ecology Models Probability and Statistical Research

Publication details

Journal / source
arXiv (Cornell University)
Publication date
2 February 2026
Document type
Preprint