Convergence of complex martingale for a branching random walk in an independent and identically distributed environment

DOI10.1007/s11464-021-0882-0zbMath1491.60152OpenAlexW3133547518MaRDI QIDQ2040654

Chunmao Huang, Xin Wang, Xin Gang Liang

Publication date: 14 July 2021

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

Full work available at URL: https://doi.org/10.1007/s11464-021-0882-0

zbMATH Keywords

momentsuniform convergencerandom environmentbranching random walkcomplex martingale\(L^\alpha\)-convergence

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (2)

Asymptotic properties for branching random walks with immigration in random environments ⋮ Moments, large and moderate deviations for branching random walks with immigration in random environments

Cites Work

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• Convergence of complex martingales in the branching random walk: the boundary
• Exact convergence rates in central limit theorems for a branching random walk with a random environment in time
• Branching random walks in random environment and super-Brownian motion in random environment
• Uniform convergence of martingales in the branching random walk
• Harmonic moments, large and moderate deviation principles for Mandelbrot's cascade in a random environment
• Stable-like fluctuations of Biggins' martingales
• Asymptotic properties of a branching random walk with a random environment in time
• Branching random walks with random environments in time
• Maximal displacement of a supercritical branching random walk in a time-inhomogeneous random environment
• Convergence of complex martingale for a branching random walk in a time random environment
• On \(L^p\)-convergence of the Biggins martingale with complex parameter
• Convergence of martingale and moderate deviations for a branching random walk with a random environment in time
• Central limit theorems for a branching random walk with a random environment in time
• On weighted branching processes in random environment.
• On the Continuity of the Distribution of a Sum of Dependent Variables Connected with Independent Walks on Lines
• Martingale convergence in the branching random walk
• Measure change in multitype branching
• Large and moderate deviations for a -valued branching random walk with a random environment in time

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