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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48 .

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The symbolic representation of billiards without boundary condition
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by Takehiko Morita PDF
Trans. Amer. Math. Soc. 325 (1991), 819-828 Request permission

Abstract:

We consider a dynamical system with elastic reflections in the whole plane and show that such a dynamical system can be represented as a symbolic flow over a mixing subshift of finite type. This fact enables us to prove an analogue of the prime number theorem for the closed orbits of such a dynamical system.
References
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Additional Information
  • © Copyright 1991 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 325 (1991), 819-828
  • MSC: Primary 58F15; Secondary 58F11, 58F22
  • DOI: https://doi.org/10.1090/S0002-9947-1991-1013334-6
  • MathSciNet review: 1013334