A random environment for linearly edge-reinforced random walks on infinite graphs

DOI10.1007/s00440-006-0016-3zbMath1116.60060OpenAlexW2117535553MaRDI QIDQ2369866

Franz Merkl, Silke W. W. Rolles

Publication date: 21 June 2007

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

Full work available at URL: https://research.tue.nl/nl/publications/2170409b-a00b-4c44-9cd2-d488e46f98d8

zbMATH Keywords

Random environmentReinforced random walk

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Processes in random environments (60K37)

Related Items (9)

Edge-reinforced random walk on one-dimensional periodic graphs ⋮ Senile reinforced random walks ⋮ Fine mesh limit of the VRJP in dimension one and Bass-Burdzy flow ⋮ Scaling limit of linearly edge-reinforced random walks on critical Galton-Watson trees ⋮ Representations of the vertex reinforced jump process as a mixture of Markov processes on \(\mathbb{Z}^d\) and infinite trees ⋮ A random Schrödinger operator associated with the Vertex Reinforced Jump Process on infinite graphs ⋮ Localization for linearly edge reinforced random walks ⋮ Phase transitions for edge-reinforced random walks on the half-line ⋮ Recurrence of edge-reinforced random walk on a two-dimensional graph

Cites Work

• Unnamed Item
• Bounding a random environment bounding a random environment for two-dimensional edge-reinforced random walk
• 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 \(\mathbb Z \times G\)
• Linearly edge-reinforced random walks
• The Existence of Probability Measures with Given Marginals

This page was built for publication: A random environment for linearly edge-reinforced random walks on infinite graphs