Directed polymer in random environment and last passage percolation

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dc.creatorCarmona, Philippe
dc.date2008-08-28
dc.date.accessioned2026-07-07T09:59:03Z
dc.date.available2026-07-07T09:59:03Z
dc.descriptionThe sequence of random probability measures $ν_n$ that gives a path of length $n$, $\unsur{n}$ times the sum of the random weights collected along the paths, is shown to satisfy a large deviations principle with good rate function the Legendre transform of the free energy of the associated directed polymer in a random environment. Consequences on the asymptotics of the typical number of paths whose collected weight is above a fixed proportion are then drawn.
dc.identifierhttps://arxiv.org/abs/0808.3842
dc.identifierhttp://arxiv.org/abs/0808.3842
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167898
dc.subjectProbability
dc.subject60K37
dc.titleDirected polymer in random environment and last passage percolation
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