On hyperbolicity of minimizers for 1D random Lagrangian systems
arXiv:1203.4990 · doi:10.1088/0951-7715/26/1/65
Abstract
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 hyperbolicity are almost optimal: they are essentially the same as conditions for uniqueness of a global minimizer in [3].