Stationary directed polymers and energy solutions of the Burgers equation
Milton Jara and
Gregorio R. Moreno Flores
Stochastic Processes and their Applications, 2020, vol. 130, issue 10, 5973-5998
Abstract:
We consider the stationary O’Connell–Yor model of semi-discrete directed polymers in a Brownian environment in the intermediate disorder regime and show convergence of the increments of the log-partition function to the energy solutions of the stochastic Burgers equation.
Keywords: KPZ equation; Burgers equation; Directed polymers (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:spapps:v:130:y:2020:i:10:p:5973-5998
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DOI: 10.1016/j.spa.2020.04.012
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