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Lecture notes on Mather's theory for Lagrangian systems

These are introductory lecture notes on Mather's theory for Tonelli Lagrangian and Hamiltonian systems. They are based on a series of lectures given by the author at Università degli Studi di Napoli "Federico II" (April 2009), at University of Cambridge (academic year 2009-2010) and at Universitat Politècnica de Catalunya (June 2010).

preprint2010arXivOpen access
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