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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Waddington, S. The prime orbit theorem for quasihyperbolic toral automorphisms. Monatshefte für Mathematik 112, 235–248 (1991). https://doi.org/10.1007/BF01297343
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DOI: https://doi.org/10.1007/BF01297343