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Uspekhi Mat. Nauk, 1996, Volume 51, Issue 5(311), Pages 3–42 (Mi umn1012)  

This article is cited in 76 scientific papers (total in 76 papers)

Planar structures and billiards in rational polygons: the Veech alternative

Ya. B. Vorobets

M. V. Lomonosov Moscow State University


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Russian Mathematical Surveys, 1996, 51:5, 779–817

Bibliographic databases:

UDC: 517.938
MSC: 52C30
Received: 25.06.1996

Citation: Ya. B. Vorobets, “Planar structures and billiards in rational polygons: the Veech alternative”, Uspekhi Mat. Nauk, 51:5(311) (1996), 3–42; Russian Math. Surveys, 51:5 (1996), 779–817

Citation in format AMSBIB
\by Ya.~B.~Vorobets
\paper Planar structures and billiards in rational polygons: the Veech alternative
\jour Uspekhi Mat. Nauk
\yr 1996
\vol 51
\issue 5(311)
\pages 3--42
\jour Russian Math. Surveys
\yr 1996
\vol 51
\issue 5
\pages 779--817

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    This publication is cited in the following articles:
    1. Ya. B. Vorobets, “Billiards in rational polygons: Periodic trajectories, symmetries and $d$-stability”, Math. Notes, 62:1 (1997), 56–63  mathnet  crossref  crossref  mathscinet  zmath  isi
    2. O. N. Ageev, “Dynamical systems with arbitrary spectrum multiplicity function”, Russian Math. Surveys, 53:5 (1998), 1079–1081  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    3. Pierre Arnoux, Pascal Hubert, “Fractions continues sur les surfaces de Veech”, J Anal Math, 81:1 (2000), 35  crossref  mathscinet  zmath  isi  scopus  scopus
    4. Hubert, P, “Veech groups and polygonal coverings”, Journal of Geometry and Physics, 35:1 (2000), 75  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    5. Gutkin, E, “Affine mappings of translation surfaces: Geometry and arithmetic”, Duke Mathematical Journal, 103:2 (2000), 191  crossref  mathscinet  zmath  isi  scopus  scopus
    6. Kenyon, R, “Billiards on rational-angled triangles”, Commentarii Mathematici Helvetici, 75:1 (2000), 65  crossref  mathscinet  zmath  isi  elib  scopus  scopus
    7. Kholodenko, AL, “Use of quadratic differentials for description of defects and textures in liquid crystals and 2+1 gravity”, Journal of Geometry and Physics, 33:1–2 (2000), 59  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    8. Gutkin E., “Branched coverings and closed geodesics in flat surfaces, with applications to billiards”, Dynamical Systems: From Crystal To Chaos, 2000, 259–273  crossref  mathscinet  zmath  isi
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    13. Gutkin, E, “Affine diffeomorphisms of translation surfaces: Periodic points, fuchsian groups, and arithmeticity”, Annales Scientifiques de l Ecole Normale Superieure, 36:6 (2003), 847  crossref  mathscinet  zmath  isi  scopus  scopus
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    19. Curtis T. McMullen, “Teichmüller curves in genus two: Discriminant and spin”, Math Ann, 333:1 (2005), 87  crossref  mathscinet  zmath  isi  scopus  scopus
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    32. JOHN SMILLIE, BARAK WEISS, “Veech’s dichotomy and the lattice property”, Ergod Th Dynam Sys, 2008, 1  crossref  mathscinet  isi  scopus  scopus
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