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Measures with infinite Lyapunov exponents for the periodic Lorentz gas

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Abstract

We study invariant measures for the periodic Lorentz gas which are supported on the set of points with infinite Lyapunov exponents. We construct examples of such measures which are measures of maximal entropy and ones which are not.

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Authors and Affiliations

  1. Department of Mathematics, University of Alabama at Birmingham, 35294, Birmingham, Alabama

    N. I. Chernov

  2. Department of Mathematics, State University of New York at Stony Brook, 11794, Stony Brook, New York

    S. Troubetzkoy

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  1. N. I. Chernov
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  2. S. Troubetzkoy
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Chernov, N.I., Troubetzkoy, S. Measures with infinite Lyapunov exponents for the periodic Lorentz gas. J Stat Phys 83, 193–202 (1996). https://doi.org/10.1007/BF02183645

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