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- W2275173832 abstract "We consider open billiards in the plane satisfying the no-eclipse condition. We show that the points in the non-wandering set depend differentiably on deformations to the boundary of the billiard. We use Bowen's equation to estimate the Hausdorff dimension of the non-wandering set of the billiard. Finally we show that the Hausdorff dimension depends differentiably on sufficiently smooth deformations to the boundary of the billiard, and estimate the derivative with respect to such deformations." @default.
- W2275173832 created "2016-06-24" @default.
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- W2275173832 date "2014-01-06" @default.
- W2275173832 modified "2023-09-25" @default.
- W2275173832 title "Differentiability of Hausdorff dimension of the non-wandering set in a planar open billiard" @default.
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