Ultrametric tree structure in the directed polymer problem

Ehud Perlsman; Moshe Schwartz

doi:10.1209/0295-5075/17/1/003

Ultrametric tree structure in the directed polymer problem

Ehud Perlsman, Moshe Schwartz

School of Physics and Astronomy

Tel Aviv University

Research output: Contribution to journal › Letter › peer-review

24 Scopus citations

Abstract

We study some properties of the ultrametric tree structure associated with the directed polymer problem. We find that the exponents 2/3 and 1/3 appear in a natural way in the description of the tree. Some of our results explain earlier numerical results of Zhang in the problem of the stability of the best directed polymer configuration to small perturbations.

Original language	English
Pages (from-to)	11-16
Number of pages	6
Journal	Journal de Physique (Paris), Lettres
Volume	17
Issue number	1
DOIs	https://doi.org/10.1209/0295-5075/17/1/003
State	Published - Jan 1992

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Ultrametric tree structure in the directed polymer problem

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