Condensation of a self-attracting random walk

DOI10.1214/18-AIHP900zbMath1466.60197MaRDI QIDQ2320385

Ariel Yadin, Nathanaël Berestycki

Publication date: 22 August 2019

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

Full work available at URL: https://projecteuclid.org/euclid.aihp/1557820833

zbMATH Keywords

condensationlarge deviationsGibbs measureWulff crystalDonsker-Varadhan principleself-attractive random walk

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Large deviations (60F10) Continuous-time Markov processes on discrete state spaces (60J27)

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Boundary of the range of transient random walk, The chemical distance in random interlacements in the low-intensity regime, Capacity of the range in dimension 5, The random walk penalised by its range in dimensions \(d\geqslant 3\)

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