Scaling of the Sasamoto-Spohn model in equilibrium

[摘要] We prove the convergence of the Sasamoto-Spohn model in equilibrium to the energy solution of the stochastic Burgers equation on the whole line. The proof, which relies on the second order Boltzmann-Gibbs principle, follows the approach of [9] and does not use any spectral gap argument.

[学科分类] 统计和概率

[关键词] KPZ equation;Burgers equation;Sasamoto-Spohn model