On hyperbolicity of minimizers for 1D random Lagrangian systems
Dynamical Systems
2015-06-04 v1 Analysis of PDEs
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].
Keywords
Cite
@article{arxiv.1203.4990,
title = {On hyperbolicity of minimizers for 1D random Lagrangian systems},
author = {Alexandre Boritchev and Konstantin Khanin},
journal= {arXiv preprint arXiv:1203.4990},
year = {2015}
}