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arxiv: 1203.4990 · v1 · pith:LPJBPKDYnew · submitted 2012-03-22 · 🧮 math.DS · math.AP

On hyperbolicity of minimizers for 1D random Lagrangian systems

classification 🧮 math.DS math.AP
keywords hyperbolicityconditionsgloballagrangianminimizersrandomsystemsalmost
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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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