Edge-reinforced random walk on one-dimensional periodic graphs

DOI10.1007/s00440-008-0170-xzbMath1186.82039OpenAlexW2088471473MaRDI QIDQ842382

Silke W. W. Rolles, Franz Merkl

Publication date: 25 September 2009

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

Full work available at URL: https://doi.org/10.1007/s00440-008-0170-x

zbMATH Keywords

recurrencerandom environmentreinforced random walk

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Processes in random environments (60K37)

Related Items

Localization for a nonlinear sigma model in a strip related to vertex reinforced jump processes ⋮ MATHEMATICAL ASPECTS OF ANDERSON LOCALIZATION ⋮ Dynkin isomorphism and Mermin-Wagner theorems for hyperbolic sigma models and recurrence of the two-dimensional vertex-reinforced jump process ⋮ An asymptotic result for Brownian polymers ⋮ A note on recurrence of the vertex reinforced jump process and fractional moments localization ⋮ Recurrence of edge-reinforced random walk on a two-dimensional graph ⋮ Transience of edge-reinforced random walk

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotic behavior of edge-reinforced random walks
• A survey of random processes with reinforcement
• Bounding a random environment bounding a random environment for two-dimensional edge-reinforced random walk
• Edge-reinforced random walk on a ladder
• A random environment for linearly edge-reinforced random walks on infinite graphs
• On the recurrence of edge-reinforced random walk on \(\mathbb Z \times G\)
• Linearly edge-reinforced random walks

This page was built for publication: Edge-reinforced random walk on one-dimensional periodic graphs