Strong disorder in semidirected random polymers

N. Zygouras

Annales de l'I.H.P. Probabilités et statistiques (2013)

  • Volume: 49, Issue: 3, page 753-780
  • ISSN: 0246-0203

Abstract

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We consider a random walk in a random potential, which models a situation of a random polymer and we study the annealed and quenched costs to perform long crossings from a point to a hyperplane. These costs are measured by the so called Lyapounov norms. We identify situations where the point-to-hyperplane annealed and quenched Lyapounov norms are different. We also prove that in these cases the polymer path exhibits localization.

How to cite

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Zygouras, N.. "Strong disorder in semidirected random polymers." Annales de l'I.H.P. Probabilités et statistiques 49.3 (2013): 753-780. <http://eudml.org/doc/272026>.

@article{Zygouras2013,
abstract = {We consider a random walk in a random potential, which models a situation of a random polymer and we study the annealed and quenched costs to perform long crossings from a point to a hyperplane. These costs are measured by the so called Lyapounov norms. We identify situations where the point-to-hyperplane annealed and quenched Lyapounov norms are different. We also prove that in these cases the polymer path exhibits localization.},
author = {Zygouras, N.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {random walks; random potential; Lyapounov norms; strong disorder; localization; fractional moments; Lyapunov norms},
language = {eng},
number = {3},
pages = {753-780},
publisher = {Gauthier-Villars},
title = {Strong disorder in semidirected random polymers},
url = {http://eudml.org/doc/272026},
volume = {49},
year = {2013},
}

TY - JOUR
AU - Zygouras, N.
TI - Strong disorder in semidirected random polymers
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2013
PB - Gauthier-Villars
VL - 49
IS - 3
SP - 753
EP - 780
AB - We consider a random walk in a random potential, which models a situation of a random polymer and we study the annealed and quenched costs to perform long crossings from a point to a hyperplane. These costs are measured by the so called Lyapounov norms. We identify situations where the point-to-hyperplane annealed and quenched Lyapounov norms are different. We also prove that in these cases the polymer path exhibits localization.
LA - eng
KW - random walks; random potential; Lyapounov norms; strong disorder; localization; fractional moments; Lyapunov norms
UR - http://eudml.org/doc/272026
ER -

References

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