# Directed polymer in random environment and last passage percolation*

ESAIM: Probability and Statistics (2010)

- Volume: 14, page 263-270
- ISSN: 1292-8100

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topCarmona, Philippe. "Directed polymer in random environment and last passage percolation*." ESAIM: Probability and Statistics 14 (2010): 263-270. <http://eudml.org/doc/250855>.

@article{Carmona2010,

abstract = {The sequence of random probability measures νn that gives a path of length n, $\frac\{1\}\{n\}$ 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.
},

author = {Carmona, Philippe},

journal = {ESAIM: Probability and Statistics},

keywords = {Directed polymer; random environment; partition function; last passage percolation; directed polymer},

language = {eng},

month = {10},

pages = {263-270},

publisher = {EDP Sciences},

title = {Directed polymer in random environment and last passage percolation*},

url = {http://eudml.org/doc/250855},

volume = {14},

year = {2010},

}

TY - JOUR

AU - Carmona, Philippe

TI - Directed polymer in random environment and last passage percolation*

JO - ESAIM: Probability and Statistics

DA - 2010/10//

PB - EDP Sciences

VL - 14

SP - 263

EP - 270

AB - The sequence of random probability measures νn that gives a path of length n, $\frac{1}{n}$ 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.

LA - eng

KW - Directed polymer; random environment; partition function; last passage percolation; directed polymer

UR - http://eudml.org/doc/250855

ER -

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