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An analogue of Bauer’s theorem for closed orbits of skew products


In this article we prove an analogue of Bauer’s theorem from algebraic number theory in the context of hyperbolic systems.

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[8] W. Parry . Skew products of shift with a compact Lie groups. J. London Math. Soc. 56 (1997), 395404.

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[12] J. Stopple . A reciprocity law for prime geodesics. J. Number Theory 29 (1988), 224230.

[13] T. Sunada . Riemannian coverings and isospectral manifolds. Ann. of Math. 121 (1985), 169186.

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Ergodic Theory and Dynamical Systems
  • ISSN: 0143-3857
  • EISSN: 1469-4417
  • URL: /core/journals/ergodic-theory-and-dynamical-systems
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