Last Branching in Directed Last Passage Percolation

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dc.creatorFerrari, Patrik L.
dc.creatorSpohn, Herbert
dc.date2002-11-18
dc.date.accessioned2026-07-07T04:29:34Z
dc.date.available2026-07-07T04:29:34Z
dc.descriptionThe 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.
dc.description14 pages, 3 figures, Latex2e
dc.identifierhttps://arxiv.org/abs/math-ph/0211040
dc.identifierhttp://arxiv.org/abs/math-ph/0211040
dc.identifierMarkov Process and Related Fields, 9 (2003), 323-339
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57207
dc.subjectMathematical Physics
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.subject60K35 (Primary), 82B44 (Secondary)
dc.titleLast Branching in Directed Last Passage Percolation
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