On hyperbolicity of minimizers for 1D random Lagrangian systems
  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]. 
Alexandre Boritchev, Konstantin Khanin
math.DS math.AP