Probability and Stochastic Analysis - University of Bonn
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Abstract of "Last Branching in Directed Last Passage Percolation"

with Herbert Spohn.

The 1+1 dimensional directed polymers in a Poissonian 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.

Postscript file: [PS]

PDF file: [PDF]

arXiv: math-ph/0211040