Vertex-reinforced jump process on the integers with nonlinear reinforcement

DOI10.1214/21-AAP1743zbMath1499.60118arXiv2004.05927MaRDI QIDQ2083262

Andrea Collevecchio, Tuan-Minh Nguyen, Stanislav Volkov

Publication date: 10 October 2022

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

Full work available at URL: https://arxiv.org/abs/2004.05927

zbMATH Keywords

localizationself-interacting processesrandom processes with reinforcementvertex-reinforced jump processes

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Sample path properties (60G17) Jump processes on general state spaces (60J76)

Cites Work

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• How vertex reinforced jump process arises naturally
• Anderson localization for a supersymmetric sigma model
• Edge-reinforced random walk, vertex-reinforced jump process and the supersymmetric hyperbolic sigma model
• Phase transition in vertex-reinforced random walks on \({\mathbb{Z}}\) with nonlinear reinforcement
• A survey of random processes with reinforcement
• Limit theorems for vertex-reinforced jump processes on regular trees
• Fourier analysis on a hyperbolic supermanifold with constant curvature
• Vertex-reinforced random walk
• Vertex-reinforced random walks and a conjecture of Pemantle
• Vertex-reinforced jump processes on trees and finite graphs
• Vertex-reinforced random walk on \(\mathbb Z\) has finite range
• Continuous time vertex-reinforced jump processes
• Vertex-reinforced random walk on \(\mathbb Z\) eventually gets stuck on five points.
• A note on recurrence of the vertex reinforced jump process and fractional moments localization
• Strongly vertex-reinforced jump process on a complete graph
• Localization of a vertex reinforced random walk on \(\mathbb Z\) with sub-linear weight
• Dynkin isomorphism and Mermin-Wagner theorems for hyperbolic sigma models and recurrence of the two-dimensional vertex-reinforced jump process
• Phase transitions for edge-reinforced random walks on the half-line
• Transience of edge-reinforced random walk
• Edge- and vertex-reinforced random walks with super-linear reinforcement on infinite graphs
• Localization on 4 sites for vertex-reinforced random walks on \(\mathbb{Z}\)
• Localization for linearly edge reinforced random walks
• Attracting edge and strongly edge reinforced walks
• On the transience of processes defined on Galton-Watson trees
• Self-interacting diffusions. III: Symmetric interactions
• The ‘magic formula’ for linearly edge‐reinforced random walks
• What is the difference between a square and a triangle?
• A random Schrödinger operator associated with the Vertex Reinforced Jump Process on infinite graphs
• Probability
• Reinforced random walk

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