On the free energy of a directed polymer in a Browian environment

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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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
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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