Physics – Mathematical Physics
Scientific paper
2002-11-18
Markov Process and Related Fields, 9 (2003), 323-339
Physics
Mathematical Physics
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.
Ferrari Patrik L.
Spohn Herbert
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