Ultrametric tree structure in the directed polymer problem

Ehud Perlsman, Moshe Schwartz

Research output: Contribution to journalLetterpeer-review


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 languageEnglish
Pages (from-to)11-16
Number of pages6
JournalEurophysics Letters
Issue number1
StatePublished - Jan 1992


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