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Minimal measures

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Commentarii Mathematici Helvetici

Abstract

For a finite composition of exact, area preserving, positive twist diffeomorphisms of the infinite cylinder, we will show that an invariant measure whose support consists of minimal orbits strictly minimizes the average action.

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Authors and Affiliations

  1. Princeton University, Fine Hall Washington Road, 08544, Princeton, New Jersey, USA

    John N. Mather

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  1. John N. Mather
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Mather, J.N. Minimal measures. Commentarii Mathematici Helvetici 64, 375–394 (1989). https://doi.org/10.1007/BF02564683

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  • DOI: https://doi.org/10.1007/BF02564683

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