4 papers
Statistical regularity and linear response of Mather measures for Tonelli Lagrangian systems
Alfonso Sorrentino, Jianlu Zhang, Siyao Zhu
We study the statistical regularity of Mather measures associated with perturbations of a Tonelli Lagrangian. When the unperturbed Mather measure is supported on a quasi-peri…
Stochastic Homogenization of the Hamilton-Jacobi Equation on Manifolds
Marco Pozza, Alfonso Sorrentino
This article establishes a stochastic homogenization result for the first order Hamilton-Jacobi equation on a Riemannian manifold , in the context of a stationary ergodic random…
Homogenization of Hamilton-Jacobi equations on networks
Marco Pozza, Antonio Siconolfi, Alfonso Sorrentino
We prove a homogenization result for a family of time-dependent Hamilton-Jacobi equations, rescaled by a parameter tending to zero, posed on a periodic network, with…
On the set of asymptotic homologies of orbits on invariant Lagrangian graphs
Rafael Oswaldo Ruggiero, Alfonso Sorrentino
Given a smooth Tonelli Hamiltonian on the torus and a Lagrangian graph that is invariant under the Hamiltonian flow and con…