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math.PR2019
Stationary Directed Polymers and Energy Solutions of the Burgers Equation
Milton Jara, Gregorio R. Moreno Flores
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 incremen…
math.PR2019
Derivation of viscous Burgers equations from weakly asymmetric exclusion processes
M. Jara, C. Landim, K. Tsunoda
We consider weakly asymmetric exclusion processes whose initial density profile is a small perturbation of a constant. We show that in the diffusive time-scale, in all dimensions,…