## 2007.192: On the free energy of a directed polymer in a Browian environment

2007.192:
J. Moriarty and N. O'Connell
(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 2000 > 60 Probability theory and stochastic processes MSC 2000 > 82 Statistical mechanics, structure of matter |

MIMS number: | 2007.192 |

Deposited By: | Mrs Louise Healey |

Deposited On: | 21 November 2007 |

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