On quenched and annealed critical curves of random pinning model with finite range correlations

DOI10.1214/11-AIHP446zbMath1276.82024arXiv0903.3704MaRDI QIDQ1951506

Julien Poisat

Publication date: 6 June 2013

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/0903.3704

zbMATH Keywords

Markov renewal processrenewal processPerron-Frobenius theorysubadditivitypinningpolymer modelscorrelated disorderdisorder irrelevanceannealed modelintersection of renewal processes

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Processes in random environments (60K37) Renewal theory (60K05)

Related Items (4)

Hierarchical pinning model in correlated random environment ⋮ Sharp critical behavior for pinning models in a random correlated environment ⋮ Random pinning model with finite range correlations: disorder relevant regime ⋮ The random pinning model with correlated disorder given by a renewal set

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The martingale approach to disorder irrelevance for pinning models
• The effect of disorder on polymer depinning transitions
• A replica-coupling approach to disordered pinning models
• Kingman's subadditive ergodic theorem
• One-sided local large deviation and renewal theorems in the case of infinite mean
• A renewal theory approach to periodic copolymers with adsorption
• Non-negative matrices and Markov chains.
• A discrete renewal theorem with infinite mean
• Renewal sequences, disordered potentials, and pinning phenomena
• Localization Transition in Disordered Pinning Models
• Applied Probability and Queues

This page was built for publication: On quenched and annealed critical curves of random pinning model with finite range correlations