Disorder relevance for the random walk pinning model in dimension 3

DOI10.1214/10-AIHP374zbMath1217.60085arXiv0912.1663OpenAlexW2071825683MaRDI QIDQ629810

Rongfeng Sun, Matthias Birkner

Publication date: 10 March 2011

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/0912.1663

zbMATH Keywords

random walkslocal limit theoremscollision local timedisordered pinning modelsmarginal disorderfractional moment methodsrenewal process with infinite mean

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44)

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Cites Work

• New bounds for the free energy of directed polymers in dimension \(1+1\) and \(1+2\)
• On the critical point of the random walk pinning model in dimension \(d=3\)
• Collision local time of transient random walks and intermediate phases in interacting stochastic systems
• Differing averaged and quenched large deviations for random walks in random environments in dimensions two and three
• Annealed vs quenched critical points for a random walk pinning model
• One-sided local large deviation and renewal theorems in the case of infinite mean
• Phase transitions for the long-time behavior of interacting diffusions
• Hierarchical pinning models, quadratic maps and quenched disorder
• Marginal relevance of disorder for pinning models
• Probability
• Fractional moment bounds and disorder relevance for pinning models
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