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

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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

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

First available in Project Euclid: 28 November 2007

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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

last-passage percolation pinning exclusion process

Copyright © 2006, Institute of Mathematical Statistics


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.

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