Localization on 4 sites for vertex-reinforced random walks on \(\mathbb{Z}\)

DOI10.1214/12-AOP811zbMath1297.60062arXiv1201.0658OpenAlexW2962855230MaRDI QIDQ2447333

Bruno Schapira, Arvind Singh, Anne-Laure Basdevant

Publication date: 25 April 2014

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

Full work available at URL: https://arxiv.org/abs/1201.0658

zbMATH Keywords

localizationreinforced random walkurn model

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20)

Related Items (5)

Stuck walks: a conjecture of Erschler, Tóth and Werner ⋮ Localization on 5 sites for vertex reinforced random walks: towards a characterization ⋮ Localization of a vertex reinforced random walk on \(\mathbb Z\) with sub-linear weight ⋮ Localisation in a growth model with interaction. Arbitrary graphs ⋮ Vertex-reinforced jump process on the integers with nonlinear reinforcement

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