Convergence of martingale and moderate deviations for a branching random walk with a random environment in time

DOI10.1007/s10959-016-0668-6zbMath1386.60298arXiv1504.01181OpenAlexW2964065925MaRDI QIDQ2412513

Xiaoqiang Wang, Chunmao Huang

Publication date: 23 October 2017

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.01181

zbMATH Keywords

uniform convergencemomentconvergence raterandom environmentmoderate deviationbranching random walk\(L^p\) convergence

Mathematics Subject Classification ID

Large deviations (60F10) Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (8)

Large and moderate deviations for a -valued branching random walk with a random environment in time ⋮ 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 ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Convergence of complex martingale for a branching random walk in an independent and identically distributed environment ⋮ 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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the multifractal analysis of the branching random walk in \(\mathbb R^d\)
• Almost sure central limit theorem for branching random walks in random environment
• Branching random walks in space-time random environment: Survival probability, global and local growth rates
• Sur une extension de la notion de loi semi-stable. (On an extension of the notion of semi-stable law)
• The central limit theorem for the supercritical branching random walk, and related results
• Central limit theorem for branching random walks in random environment
• Minimal position and critical martingale convergence in branching random walks, and directed polymers on disordered trees
• Uniform convergence of martingales in the branching random walk
• Branching random walk in random environment phase transitions for local and global growth rates
• Branching random walks. II
• Sur certaines martingales de Benoit Mandelbrot
• Seneta-Heyde norming in the branching random walk
• On generalized multiplicative cascades
• Asymptotic properties and absolute continuity of laws stable by random weighted mean.
• Branching random walks with random environments in time
• Convergence in \(L^p\) and its exponential rate for a branching process in a random environment
• Central limit theorems for a branching random walk with a random environment in time
• On weighted branching processes in random environment.
• Propriétés asymptotiques des processus de branchement en environnement aléatoire
• Exponential rate of L_p-convergence of intrinsic martingales in supercritical branching random walks
• Shape and local growth for multidimensional branching random walks in random environment
• Martingale convergence in the branching random walk
• Chernoff's theorem in the branching random walk
• Growth rates in the branching random walk
• Sur Une Équation Fonctionnelle Et SES Applications: Une Extension Du Théorème De Kesten-Stigum Concernant Des Processus De Branchement
• Fixed points of a generalized smoothing transformation and applications to the branching random walk
• Fixed points of the smoothing transformation
• Measure change in multitype branching
• On Branching Processes with Random Environments: I: Extinction Probabilities

This page was built for publication: Convergence of martingale and moderate deviations for a branching random walk with a random environment in time