The prime orbit theorem for quasihyperbolic toral automorphisms |
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Authors: | Simon Waddington |
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Affiliation: | (1) Mathematics Institute, University of Warwick, CV4 7AL Coventry, England |
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Abstract: | For a toral automorphism which is ergodic, but not necessarily hyperbolic, we derive asymptotic formulae for the number of closed orbits by analogy with the Prime Number Theorem. A new proof of the uniform distribution of periodic points is also given. |
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