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Polymer pinning in a random medium as influence percolation. (English) Zbl 1127.82047

Denteneer, Dee (ed.) et al., Dynamics and stochastics. Festschrift in honor of M. S. Keane. Selected papers based on the presentations at the conference ‘Dynamical systems, probability theory, and statistical mechanics’, Eindhoven, The Netherlands, January 3–7, 2005, on the occasion of the 65th birthday of Mike S. Keane. Beachwood, OH: IMS, Institute of Mathematical Statistics (ISBN 0-940600-64-1/pbk). Institute of Mathematical Statistics Lecture Notes - Monograph Series 48, 1-15 (2006).
The authors 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 percolation system and relate the pinning transition to a percolation transition.
For the entire collection see [Zbl 1113.60008].

MSC:

82D60 Statistical mechanics of polymers
60K35 Interacting random processes; statistical mechanics type models; percolation theory
60G17 Sample path properties
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