Functional central limit theorem for random walks in random environment defined on regular trees

DOI10.1016/J.SPA.2020.02.004zbMath1445.60078arXiv1910.09128OpenAlexW2981135939MaRDI QIDQ2186654

Masato Takei, Yuma Uematsu, Andrea Collevecchio

Publication date: 9 June 2020

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

Full work available at URL: https://arxiv.org/abs/1910.09128

zbMATH Keywords

functional central limit theoremself-interacting random walksrandom walks in random environment

Mathematics Subject Classification ID

Processes in random environments (60K37) Functional limit theorems; invariance principles (60F17)

Cites Work

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• Large deviations in the reinforced random walk model on trees
• Bounds on the speed and on regeneration times for certain processes on regular trees
• Edge-reinforced random walk, vertex-reinforced jump process and the supersymmetric hyperbolic sigma model
• Transient random walks in random environment on a Galton-Watson tree
• Large deviations for transient random walks in random environment on a Galton-Watson tree
• Limit theorems for vertex-reinforced jump processes on regular trees
• Phase transition in reinforced random walk and RWRE on trees
• Random walk in a random environment and first-passage percolation on trees
• Once edge-reinforced random walk on a tree
• General random walk in a random environment defined on Galton-Watson trees
• A central limit theorem for biased random walks on Galton-Watson trees
• Limit theorems for reinforced random walks on certain trees
• The Branching‐Ruin Number and the Critical Parameter of Once‐Reinforced Random Walk on Trees
• Reinforced random walk
• Random walks in a random environment

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