Regularity of Bunimovich's Stadia

    2007, Volume 12, Number 3, pp.  335-356

    Author(s): Chernov N., Zhang H.

    Stadia are popular models of chaotic billiards introduced by Bunimovich in 1974. They are analogous to dispersing billiards due to Sinai, but their fundamental technical characteristics are quite different. Recently many new results were obtained for various chaotic billiards, including sharp bounds on correlations and probabilistic limit theorems, and these results require new, more powerful technical apparatus. We present that apparatus here, in the context of stadia, and prove "regularity" properties.
    Keywords: billiards, stadium, hyperbolicity, chaos, absolute continuity, distortion bounds
    Citation: Chernov N., Zhang H., Regularity of Bunimovich's Stadia, Regular and Chaotic Dynamics, 2007, Volume 12, Number 3, pp. 335-356



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