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Dynamical Systems
An International Journal
Volume 36, 2021 - Issue 3
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Research Article

Uniqueness of billiard coding in polygons

Pages 363-386 | Received 24 Nov 2018, Accepted 06 Apr 2021, Published online: 10 Jun 2021

References

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  • Bobok J. and Troubetzkoy S., Homotopical rigidity of polygonal billiards, Topol. Appl 173 (2014), pp. 308–324.
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  • Duchin M., Erlandsson V., Leininger C.J., and Sadanand C., You can hear the shape of a billiard table: symbolic dynamics and rigidity for flat surfaces, preprint (2019). Available at arXiv:1804.05690.
  • Furstenberg H. Recurrence in Ergodic Theory and Combinatorial Number Theory, Porter Lectures, Princeton University Press, Princeton, New Jersey, 2014.
  • Galperin G., Krüger T., and Troubetzkoy S., Local instability of orbits in polygonal and polyhedral billiards, Commun. Math. Phys. 169(3) (1995 May), pp. 463–473.
  • Katok A.B., The growth rate for the number of singular and periodic orbits for a polygonal billiard, Commun. Math. Phys. 111(1) (1987), pp. 151–160.
  • Zemljakov A.N. and Katok A.B., Topological transitivity of billiards in polygons, Mat. Zametki 18(2) (1975), pp. 291–300.

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