Asymptotic behavior of edge-reinforced random walks

DOI10.1214/009117906000000674zbMath1206.82082arXivmath/0511750OpenAlexW3103061953MaRDI QIDQ879250

Silke W. W. Rolles, Franz Merkl

Publication date: 8 May 2007

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0511750

zbMATH Keywords

graphMarkov chainsrandom walksGibbs measureinfinite ladder

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Processes in random environments (60K37) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41)

Related Items (6)

Edge-reinforced random walk on one-dimensional periodic graphs ⋮ Quasi-diffusion in a 3D supersymmetric hyperbolic sigma model ⋮ Localization for a nonlinear sigma model in a strip related to vertex reinforced jump processes ⋮ Localization for linearly edge reinforced random walks ⋮ On the recurrence of edge-reinforced random walk on \(\mathbb Z \times G\) ⋮ An asymptotic result for Brownian polymers

Cites Work

• Phase transition in reinforced random walk and RWRE on trees
• De Finetti's theorem for Markov chains
• How edge-reinforced random walk arises naturally
• Edge-reinforced random walk on a ladder
• On the recurrence of edge-reinforced random walk on \(\mathbb Z \times G\)
• Bayesian analysis for reversible Markov chains
• Probability
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