Representations of the vertex reinforced jump process as a mixture of Markov processes on \(\mathbb{Z}^d\) and infinite trees

DOI10.1214/20-EJP510zbMath1459.60179arXiv1903.10037MaRDI QIDQ2201482

Thomas Gerard

Publication date: 29 September 2020

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.10037

zbMATH Keywords

Martin boundaryreinforced processesMarkov processes in random environment

Mathematics Subject Classification ID

Martin boundary theory (31C35) Processes in random environments (60K37) Jump processes on discrete state spaces (60J74)

Related Items (1)

Off-diagonal heat kernel estimates for symmetric diffusions in a degenerate ergodic environment

Cites Work

• Harnack inequalities on weighted graphs and some applications to the random conductance model
• Heat kernel estimates for random walks with degenerate weights
• Continuous-time vertex reinforced jump processes on Galton-Watson trees
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• A survey of random processes with reinforcement
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• De Finetti's theorem for Markov chains
• Vertex-reinforced jump processes on trees and finite graphs
• Speed of vertex-reinforced jump process on Galton-Watson trees
• Convergence of vertex-reinforced jump processes to an extension of the supersymmetric hyperbolic nonlinear sigma model
• Continuous time vertex-reinforced jump processes
• A random environment for linearly edge-reinforced random walks on infinite graphs
• Localization for linearly edge reinforced random walks
• Large Deviations for Heat Kernels on Graphs
• A random Schrödinger operator associated with the Vertex Reinforced Jump Process on infinite graphs

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