A formula for the periodic multiplier in left tail asymptotics for supercritical branching processes in the Schröder case

2023/05/04 by Anton A. Kutsenko, Kutsenko, Anton A.
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #FOS: Mathematics #Functional Analysis (math.FA) #Probability (math.PR) #Stochastic processes and financial applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2305.02812

openalex publication_date 2023/05/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

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

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