On hyperbolicity of minimizers for 1D random Lagrangian systems

Mathematics – Dynamical Systems

Scientific paper

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Scientific paper

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].

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