English

A formula for the periodic multiplier in left tail asymptotics for supercritical branching processes in the Schr\"oder case

Probability 2023-05-05 v1 Functional Analysis

Abstract

It is known that the left tail asymptotic for supercritical branching processes in the Schr\"oder case satisfies a power law multiplied by some multiplicatively periodic function. We provide an explicit expression for this periodic function.

Keywords

Cite

@article{arxiv.2305.02812,
  title  = {A formula for the periodic multiplier in left tail asymptotics for supercritical branching processes in the Schr\"oder case},
  author = {Anton A. Kutsenko},
  journal= {arXiv preprint arXiv:2305.02812},
  year   = {2023}
}