What type of study is this?

This is a Quantitative Study study.

October 16, 2025Open Access

Small deviations for critical Galton-Watson processes with infinite variance

Key Points

The study reveals the asymptotic behavior of small deviation probabilities for critical Galton-Watson processes.
Key findings include insights into how offspring size variance affects the behavior of these processes.
Analyses focused on critical Galton-Watson processes that exhibit infinite variance parameters.
This research has significant implications for understanding the structural properties of related stochastic processes.

Abstract

We study the asymptotic behavior of small deviation probabilities for the critical Galton-Watson processes with infinite variance of the offspring sizes of particles and apply the obtained result to investigate the structure of a reduced critical Galton-Watson process.

Small deviations for critical Galton-Watson processes with infinite variance

Key Points

Abstract

Cite This Study

Also Consider

Also Consider