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Stationary Directed Polymers and Energy Solutions of the Burgers Equation | | Milton Jara
; Gregorio R. Moreno Flores
; | | Date: |
16 Aug 2019 | | 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. The proof does not rely on the
Cole-Hopf transform and avoids the use of spectral gap estimates for the
discrete model. The key technical argument is a second-order Boltzmann-Gibbs
principle. | | Source: | arXiv, 1908.6591 | | Services: | Forum | Review | PDF | Favorites | |
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