Percival Lagrangian approach to Aubry-Mather theory

Details Percival Lagrangian approach to Aubry-Mather theory Percival Lagrangian approach to Aubry-Mather theory

2011-04-13

arxiv.org/abs/1104.2636v1

Physics

Mathematical Physics

Scientific paper

We present some streamlined proofs of some of the basic results in Aubry-Mather theory (existence of quasi-periodic minimizers, multiplicity results when there are gaps among minimizers) based on the study of hull functions. We present results in arbitrary number of dimensions We also compare the proofs and results with those obtained in other formalisms.

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