Random interlacements for vertex-reinforced jump processes

DOI10.1214/20-AIHP1107zbMath1491.60181arXiv1903.07910OpenAlexW3160118851MaRDI QIDQ2041836

Franz Merkl, Pierre Tarrès, Silke W. W. Rolles

Publication date: 23 July 2021

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.07910

zbMATH Keywords

random interlacementvertex-reinforced jump process

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Processes in random environments (60K37) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (1)

MATRIX-MFO tandem workshop: Stochastic reinforcement processes and graphs. Abstracts from the MATRIX-MFO tandem workshop held March 5--10, 2023

Cites Work

• An isomorphism theorem for random interlacements
• Quasi-diffusion in a 3D supersymmetric hyperbolic sigma model
• The vertex reinforced jump process and a random Schrödinger operator on finite graphs
• Edge-reinforced random walk, vertex-reinforced jump process and the supersymmetric hyperbolic sigma model
• Vacant set of random interlacements and percolation
• Interlacement percolation on transient weighted graphs
• Fourier analysis on a hyperbolic supermanifold with constant curvature
• Vertex-reinforced jump processes on trees and finite graphs
• Continuous time vertex-reinforced jump processes
• A random Schrödinger operator associated with the Vertex Reinforced Jump Process on infinite graphs
• A supersymmetric approach to martingales related to the vertex-reinforced jump process
• An Introduction to Random Interlacements

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