Last Branching in Directed Last Passage Percolation

Physics – Mathematical Physics

Scientific paper

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14 pages, 3 figures, Latex2e

Scientific paper

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.

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