The prime orbit theorem for quasihyperbolic toral automorphisms Article Received: 24 July 1989 Revised: 29 October 1990 DOI:
Cite this article as: Waddington, S. Monatshefte für Mathematik (1991) 112: 235. doi:10.1007/BF01297343 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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