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arXiv · 2602.02346

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

Vladimir Vatutin·Elena Dyakonova
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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.

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Vladimir Vatutin, Elena Dyakonova. 2026-02-02. Population size of critical Galton-Watson processes under small deviations and infinite variance. https://arxiv.org/abs/2602.02346

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