Moriarty, J. and O'Connell, N.
(2007)
*On the free energy of a directed polymer in a Browian environment.*
Markov Processes and Related Fields, 13 (2).
pp. 251-266.
ISSN 1024-2953

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Official URL: http://www.math.msu.su/~malyshev/mprf.htm

## Abstract

We prove a formula conjectured in [14] for the free energy density of a directed polymer in a Brownian environment in 1+1 dimensions.

Item Type: | Article |
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Uncontrolled Keywords: | directed polymers, exponential functionals of Brownian motion, quasi-reversibility, Brownian queues, large deviations |

Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 60 Probability theory and stochastic processes MSC 2010, the AMS's Mathematics Subject Classification > 82 Statistical mechanics, structure of matter |

Depositing User: | Ms Lucy van Russelt |

Date Deposited: | 21 Nov 2007 |

Last Modified: | 20 Oct 2017 14:12 |

URI: | https://eprints.maths.manchester.ac.uk/id/eprint/936 |

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