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

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.

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Source ISSN: 1980-0436
Author Carmona, Philippe, Hu, Yueyun
Maintainer CCSD
Last Updated May 11, 2026, 15:44 (UTC)
Created May 11, 2026, 15:44 (UTC)
Identifier hal-00018048
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Laboratoire de Mathématiques Jean Leray (LMJL) ; Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST) ; Université de Nantes (UN)-Université de Nantes (UN)-Centre National de la Recherche Scientifique (CNRS)
creator Carmona, Philippe
date 2006-05-11T00:00:00
harvest_object_id 9632b9d6-33bf-4f31-ac2c-09b84f5a9392
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2025-10-06T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/math.PR/0601670
set_spec type:ART