Stationary Directed Polymers and Energy Solutions of the Burgers Equation

Autor: Jara, Milton, Flores, Gregorio R. Moreno
Rok vydání: 2019
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv