Regularity of Bunimovich’s stadia
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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.
Keywordsbilliards stadium hyperbolicity chaos absolute continuity distortion bounds
MSC2000 numbers37J35 37J30 70H06 22E10
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