Institute of Mathematical Statistics Lecture Notes - Monograph Series

Polymer pinning in a random medium as influence percolation

V. Beffara, V. Sidoravicius, H. Spohn, and M. E. Vares

Full-text: Open access

Abstract

In this article we discuss a set of geometric ideas which shed some light on the question of directed polymer pinning in the presence of bulk disorder. Differing from standard methods and techniques, we transform the problem to a particular dependent percolative system and relate the pinning transition to a percolation transition.

Chapter information

Source
Dee Denteneer, Frank den Hollander, Evgeny Verbitskiy, eds., Dynamics & Stochastics: Festschrift in honor of M. S. Keane (Beachwood, Ohio, USA: Institute of Mathematical Statistics, 2006), 1-15

Dates
First available in Project Euclid: 28 November 2007

Permanent link to this document
https://projecteuclid.org/euclid.lnms/1196285803

Digital Object Identifier
doi:10.1214/074921706000000022

Mathematical Reviews number (MathSciNet)
MR2306183

Subjects
Primary: 60G55: Point processes 60K35: Interacting random processes; statistical mechanics type models; percolation theory [See also 82B43, 82C43]
Secondary: 60G17: Sample path properties

Keywords
last-passage percolation pinning exclusion process

Rights
Copyright © 2006, Institute of Mathematical Statistics

Citation

Beffara, V.; Sidoravicius, V.; Spohn, H.; Vares, M. E. Polymer pinning in a random medium as influence percolation. Dynamics & Stochastics, 1--15, Institute of Mathematical Statistics, Beachwood, Ohio, USA, 2006. doi:10.1214/074921706000000022. https://projecteuclid.org/euclid.lnms/1196285803


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