On the measure of the set of periodic points of the billiard (Q1898522)
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scientific article; zbMATH DE number 797884
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the measure of the set of periodic points of the billiard |
scientific article; zbMATH DE number 797884 |
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On the measure of the set of periodic points of the billiard (English)
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25 September 1995
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Let \(G\) be a bounded domain in \(\mathbb{R}^n\) \((n\geq 2)\) and let \(T\) denote the Poincaré map of the billiard flow on \(G\) defined by hitting the boundary of \(G\). It is shown that the set of \(T\)-periodic points of period 3 has Lebesgue measure zero.
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periodic points
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Poincaré map
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billiard flow
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Lebesgue measure zero
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