On the finite blocking property
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Publication:2485445
DOI10.5802/aif.2124zbMath1076.37029arXivmath/0406510OpenAlexW1800062567MaRDI QIDQ2485445
Publication date: 4 August 2005
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0406510
illuminationquadratic differentialspolygonal billiardstranslation surfacesblocking propertyregular polygonsVeech surfacestorus branched covering
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Related Items (6)
Finite blocking property versus pure periodicity ⋮ Blocking light in compact Riemannian manifolds ⋮ Blocking: new examples and properties of products ⋮ Marked points on translation surfaces ⋮ Periodic points on the regular and double \(n\)-gon surfaces ⋮ Central points of the double heptagon translation surface are not connection points
Cites Work
- A counter-example to the theorem of Hiemer and Snurnikov
- Ergodicity of billiard flows and quadratic differentials
- Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards
- Topological transitivity of billiards in polygons
- Polygonal billiards with small obstacles
- Connected components of the moduli spaces of Abelian differentials with prescribed singularities
- Planar structures and billiards in rational polygons: the Veech alternative
- Billiards and Teichmüller curves on Hilbert modular surfaces
- Veech surfaces and complete periodicity in genus two
- Polygonal Rooms Not Illuminable from Every Point
- Finite blocking property versus pure periodicity
- Asymptotics of numbers of branched coverings of a torus and volumes of moduli spaces of holomorphic differentials
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