Phase diagram for once-reinforced random walks on trees with exponential weighting scheme

DOI10.1016/j.spl.2008.05.006zbMath1202.60068OpenAlexW2044165218MaRDI QIDQ956381

Masato Takei, Masaki Takeshima

Publication date: 25 November 2008

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2008.05.006

zbMATH Keywords

phase diagramreinforced random walkrecurrence and transienceself-interacting random walks

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Cites Work

• Recurrence of reinforced random walk on a ladder
• A survey of random processes with reinforcement
• Phase transition in reinforced random walk and RWRE on trees
• Once edge-reinforced random walk on a tree
• A once edge-reinforced random walk on a Galton-Watson tree is transient
• On the transience of processes defined on Galton-Watson trees
• Linearly edge-reinforced random walks
• Reinforced random walk
• Estimates of hitting probabilities for a 1-dimensional reinforced random walk
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