Localization for branching random walks in random environment

DOI10.1016/j.spa.2008.08.005zbMath1161.60341arXiv0712.0649OpenAlexW2143486828MaRDI QIDQ1016632

Nobuo Yoshida, Yue Yun Hu

Publication date: 6 May 2009

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.0649

zbMATH Keywords

phase transitionrandom environmentlocalizationbranching random walk

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items

Central limit theorem for branching Brownian motions in random environment, Large and moderate deviations for a -valued branching random walk with a random environment in time, Quenched invariance principles for the maximal particle in branching random walk in random environment and the parabolic Anderson model, 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, Unnamed Item, Central limit theorem for branching random walks in random environment, Localization for branching Brownian motions in random environment, Localization for linear stochastic evolutions, Maximal displacement of a supercritical branching random walk in a time-inhomogeneous random environment, Unnamed Item, Intermittency for branching random walk in Pareto environment, Exact convergence rates in central limit theorems for a branching random walk with a random environment in time, Phase transitions for the growth rate of linear stochastic evolutions, 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

• Central limit theorem for branching random walks in random environment
• Directed polymers in a random environment: Path localization and strong disorder
• On the partition function of a directed polymer in a Gaussian random environment
• Parabolic Anderson problem and intermittency
• On Branching Processes in Random Environments
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item