A parity problem on the free path length of a billiard in the unit square with pockets (Q873766)
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scientific article; zbMATH DE number 5135162
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A parity problem on the free path length of a billiard in the unit square with pockets |
scientific article; zbMATH DE number 5135162 |
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A parity problem on the free path length of a billiard in the unit square with pockets (English)
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20 March 2007
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The authors consider the problem on the length of the linear trajectory of a two-dimensional Euclidean billiard in the unit square. A result on short intervals about the moments of the free path length is derived.
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billiards
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periodic Lorentz gas
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free path length
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Farey fractions
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visible points
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Kloosterman sums
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