Complete left tail asymptotic for the density of branching processes in the Schröder case

DOI10.1007/s00041-024-10096-wzbMATH Open1548.60125MaRDI QIDQ6573620

Anton A. Kutsenko

Publication date: 17 July 2024

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Fourier analysisGalton-Watson processKarlin-McGregor functionleft tail asymptoticSchröder and Poincaré-type functional equations

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Cites Work

• Unnamed Item
• Étude théorique et numérique de la fonction de Karlin-McGregor
• On the left tail asymptotics for the limit law of supercritical Galton-Watson processes in the Böttcher case
• Lower deviation probabilities for supercritical Galton-Watson processes
• Small deviations of a Galton-Watson process with immigration
• Oscillatory critical amplitudes in hierarchical models and the Harris function of branching processes
• Sub-Gaussian tail bounds for the width and height of conditioned Galton-Watson trees
• Approximation of the number of descendants in branching processes
• Large deviations in the supercritical branching process
• A Course of Modern Analysis
• Embedding Iterates of Analytic Functions with Two Fixed Points into Continuous Groups
• Embeddability of Discrete Time Simple Branching Processes into Continuous Time Branching Processes
• [https://portal.mardi4nfdi.de/wiki/Publication:5618130 La densit� de la loi-limite d'un processus en cascade expansif]
• Dynamics in One Complex Variable. (AM-160)
• Branching Processes
• A universal right tail upper bound for supercritical Galton-Watson processes with bounded offspring

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