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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
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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DOI: 10.1016/j.spa.2020.04.012

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