Last Branching in Directed Last Passage Percolation

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

The 1+1 dimensional directed polymers in a Poissonean random environment is studied. For two polymers of maximal length with the same origin and distinct end points we establish that the point of last branching is governed by the exponent for the transversal fluctuations of a single polymer. We also investigate the density of branches.
14 pages, 3 figures, Latex2e

Keywords

Mathematical Physics, Disordered Systems and Neural Networks, Statistical Mechanics, 60K35 (Primary), 82B44 (Secondary)

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/57207

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0211040
 http://arxiv.org/abs/math-ph/0211040
 Markov Process and Related Fields, 9 (2003), 323-339

Collections

arXiv