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arXiv · 1203.4990

On hyperbolicity of minimizers for 1D random Lagrangian systems

Alexandre Boritchev·Konstantin Khanin
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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].

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Alexandre Boritchev, Konstantin Khanin. 2012-03-22. On hyperbolicity of minimizers for 1D random Lagrangian systems. https://doi.org/10.1088/0951-7715%2F26%2F1%2F65

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