Branching random walks with random environments in time

DOI10.1007/s11464-014-0407-1zbMath1308.60098OpenAlexW2023246113MaRDI QIDQ2259236

Chunmao Huang, Xin Gang Liang, Quan-sheng Liu

Publication date: 27 February 2015

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-014-0407-1

zbMATH Keywords

central limit theoremlarge deviationsrandom environmentbranching random walk

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Large deviations (60F10) Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (12)

Large and moderate deviations for a -valued branching random walk with a random environment in time ⋮ Convergence of martingale and moderate deviations for a branching random walk with a random environment in time ⋮ Asymptotic properties for branching random walks with immigration in random environments ⋮ First- and second-order expansions in the central limit theorem for a branching random walk ⋮ Moments, large and moderate deviations for branching random walks with immigration in random environments ⋮ Exact convergence rates for particle distributions in a non-lattice branching random walk ⋮ Maximal displacement of a supercritical branching random walk in a time-inhomogeneous random environment ⋮ Unnamed Item ⋮ Convergence of complex martingale for a branching random walk in an independent and identically distributed environment ⋮ A note on exact convergence rate in the local limit theorem for a lattice branching random walk ⋮ Convergence of complex martingale for a branching random walk in a time 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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