Limit theorems for reinforced random walks on certain trees

DOI10.1007/s00440-005-0476-xzbMath1109.60027OpenAlexW1981307109MaRDI QIDQ2502250

Andrea Collevecchio

Publication date: 12 September 2006

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00440-005-0476-x

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Trees (05C05) Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)

Related Items (10)

Recurrence and transience preservation for vertex reinforced jump processes in one dimension ⋮ Functional central limit theorem for random walks in random environment defined on regular trees ⋮ Scaling limit of linearly edge-reinforced random walks on critical Galton-Watson trees ⋮ Large deviations in the reinforced random walk model on trees ⋮ Transient random walks in random environment on a Galton-Watson tree ⋮ Bounds on the speed and on regeneration times for certain processes on regular trees ⋮ On the transience of processes defined on Galton-Watson trees ⋮ An asymptotic result for Brownian polymers ⋮ Edge-reinforced random walk, vertex-reinforced jump process and the supersymmetric hyperbolic sigma model ⋮ Transience of edge-reinforced random walk

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A survey of random processes with reinforcement
• Limit theorems for vertex-reinforced jump processes on regular trees
• Phase transition in reinforced random walk and RWRE on trees
• Beta-stacy processes and a generalization of the Pólya-Urn scheme
• How edge-reinforced random walk arises naturally
• Vertex-reinforced jump processes on trees and finite graphs
• Vertex-reinforced random walk on \(\mathbb Z\) has finite range
• Once edge-reinforced random walk on a tree
• Continuous time vertex-reinforced jump processes
• Urn schemes and reinforced random walks.
• Vertex-reinforced random walk on \(\mathbb Z\) eventually gets stuck on five points.
• Edge-reinforced random walk on a ladder
• On the transience of processes defined on Galton-Watson trees
• Bayesian analysis for reversible Markov chains
• Aggregation, Blowup, and Collapse: The ABC's of Taxis in Reinforced Random Walks
• Reinforced random walk

This page was built for publication: Limit theorems for reinforced random walks on certain trees