Strong disorder in semidirected random polymers
type: Item
instance of: scholarly article
title: Strong disorder in semidirected random polymers
zbMATH Open document ID: 1290.82013
DOI: 10.1214/12-AIHP483
published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques
publication date: 2013-10-09T00:00:00Z
full work available at URL: https://arxiv.org/abs/1009.2693
full work available at URL: https://projecteuclid.org/euclid.aihp/1372772643
review text: The present paper is devoted to a random walk in a random potential, which models a situation of a random polymer. The annealed and quenched costs to perform long crossings from a point to a hyperplane are studied. Note that the distribution of the random polymer is given by the Gibbs measure related to the walk. These costs are measured by the so-called Lyapunov norms. One of the main results of the paper is the identification of situations where the point-to-hyperplane annealed and quenched Lyapunov norms are different. Moreover, it is proved that in these cases the polymer path exhibits localization.
reviewed by: Farruh Mukhamedov
Mathematics Subject Classification ID: 82B41
Mathematics Subject Classification ID: 82B44
Mathematics Subject Classification ID: 60G50
Mathematics Subject Classification ID: 82D60
zbMATH DE Number: 6214234
zbMATH Keywords: random walks
zbMATH Keywords: random potential
zbMATH Keywords: Lyapunov norms
zbMATH Keywords: strong disorder
zbMATH Keywords: localization
zbMATH Keywords: fractional moments
author: Nikolaos Zygouras
MaRDI profile type: Publication
arXiv ID: 1009.2693
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OpenAlex ID: W2962930740
description: scientific article; zbMATH DE number 6214234