On three problems about dynamical systems related to lattices and homogeneous spaces (Q1810767)
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scientific article; zbMATH DE number 1924862
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On three problems about dynamical systems related to lattices and homogeneous spaces |
scientific article; zbMATH DE number 1924862 |
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On three problems about dynamical systems related to lattices and homogeneous spaces (English)
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9 June 2003
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This is a survey devoted to three seemingly different but deeply connected issues: (1) the Veech dichotomy for rational polygonal billiards, (2) \(T\)-induced flows, and (3) the integrability of \(G\)-invariant Hamiltonian systems with homogeneous configuration spaces. The author describes these topics in a vivid manner and includes many historical remarks.
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rational polygonal billiards
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periodic orbits
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integrability
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Hamiltonian systems
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