Convergence rates for a branching process in a random environment

zbMath1318.60087arXiv1010.6111MaRDI QIDQ2923169

Chunmao Huang, Quan-sheng Liu

Publication date: 15 October 2014

Full work available at URL: https://arxiv.org/abs/1010.6111

zbMATH Keywords

convergence ratesconvergence in lawbranching processmartingalerandom environmentexponential momentvarying environment

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

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Central limit theorem and convergence rates for a supercritical branching process with immigration in a random environment ⋮ Moderate deviation probabilities for empirical distribution of the branching random walk ⋮ Asymptotic properties of supercritical branching processes in random environments ⋮ Rate of convergence for polymers in a weak disorder ⋮ Unnamed Item ⋮ Exact convergence rates in central limit theorems for a branching random walk with a random environment in time ⋮ Quenched convergence rates for a supercritical branching process in a random environment ⋮ Exact convergence rate of the local limit theorem for a branching random walk in a time-dependent random environment on d-dimensional integer lattice

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