Directed polymer in random environment and last passage percolation
Year: 2008
Type: preprint
Abstract: The 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.
Source: arXiv (Cornell University)
Author: Carmona, Philippe
Institution: Laboratoire de Mathématiques Jean Leray
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6891689435
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