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math.DS2016
Exponential convergence to the stationary measure for a class of 1D Lagrangian systems with random forcing
Alexandre Boritchev
We prove exponential convergence to the stationary measure for a class of 1d Lagrangian systems with random forcing in the space-periodic setting: $$ ϕ_t+ϕ_x^2/2=F^ω, x \in S^1 = \…
math.DS2012★ 4 cited
On hyperbolicity of minimizers for 1D random Lagrangian systems
Alexandre Boritchev, Konstantin Khanin
We prove hyperbolicity of global minimizers for random Lagrangian systems in dimension 1. The proof considerably simplifies a related result in [2]. The conditions for hyperbolicit…