Work

Strong disorder implies strong localization for directed polymers in a random environment

Year: 2006

Type: preprint

Abstract: In this note we show that in any dimension $d$, the strong disorder property implies the strong localization property. This is established for a continuous time model of directed polymers in a random environment : the parabolic Anderson Model.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.math/0601670

Authors: Carmona, Philippe, Hu, Yueyun

Institutions: Laboratoire de Mathématiques Jean Leray, Laboratoire Analyse, Géométrie et Applications

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2157943293

Cites: 9

Cited by: 29

Related to: 10