On the left tail asymptotics for the limit law of supercritical Galton-Watson processes in the Böttcher case

DOI10.1214/07-AIHP162zbMath1175.60075OpenAlexW1980476066MaRDI QIDQ838313

Vitali Wachtel, Klaus Fleischmann

Publication date: 24 August 2009

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/78016

zbMATH Keywords

oscillationslogarithmic asymptoticsprecise asymptoticsBöttcher casefine asymptoticslower deviation probabilitiesSchröder case

Mathematics Subject Classification ID

Large deviations (60F10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (13)

Asymptotic properties of expansive Galton-Watson trees ⋮ Concentration inequalities from monotone couplings for graphs, walks, trees and branching processes ⋮ Small value probabilities for continuous state branching processes with immigration ⋮ Small positive values for supercritical branching processes in random environment ⋮ Regularly log-periodic functions and some applications ⋮ Small value probabilities for supercritical branching processes with immigration ⋮ Lower large deviations for supercritical branching processes in random environment ⋮ Tail asymptotics for the supercritical Galton-Watson process in the heavy-tailed case ⋮ Small deviations of a Galton-Watson process with immigration ⋮ Berry-Esseen's bound and Cramér's large deviation expansion for a supercritical branching process in a random environment ⋮ Galton-Watson trees with vanishing martingale limit ⋮ The heavy range of randomly biased walks on trees ⋮ Penalization of Galton-Watson processes

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