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Infinite genus surfaces and irrational polygonal billiards

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Publication:845792
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DOI10.1007/s10711-009-9378-xzbMath1190.37040arXiv0811.0728OpenAlexW2083876130MaRDI QIDQ845792

Ferrán Valdez

Publication date: 29 January 2010

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.0728


zbMATH Keywords

polygonal billiardsflat surfaceinfinite genus surfaceirrational polygonal table


Mathematics Subject Classification ID


Related Items (6)

The heights theorem for infinite Riemann surfaces ⋮ On the topology of infinite regular and chiral maps ⋮ On the Infinite Loch Ness monster ⋮ Veech groups of infinite-genus surfaces ⋮ Generalized staircases: recurrence and symmetry ⋮ Non-ergodic \(\mathbb{Z}\)-periodic billiards and infinite translation surfaces



Cites Work

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  • Topology of generic leaves
  • Periodic billiard paths in right triangles are unstable
  • Billiards in polygons and homogeneous foliations on C2
  • Billiards on almost integrable polyhedral surfaces
  • On the Classification of Noncompact Surfaces


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