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THE PRIME ORBIT THEOREM FOR QUASIHYPERBOLIC TORAL AUTOMORPHISMS
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UNSPECIFIED (1991) THE PRIME ORBIT THEOREM FOR QUASIHYPERBOLIC TORAL AUTOMORPHISMS. MONATSHEFTE FUR MATHEMATIK, 112 (3). pp. 235-248. ISSN 0026-9255.
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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.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Journal or Publication Title: | MONATSHEFTE FUR MATHEMATIK | ||||
| Publisher: | SPRINGER-VERLAG WIEN | ||||
| ISSN: | 0026-9255 | ||||
| Official Date: | 1991 | ||||
| Dates: |
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| Volume: | 112 | ||||
| Number: | 3 | ||||
| Number of Pages: | 14 | ||||
| Page Range: | pp. 235-248 | ||||
| Publication Status: | Published |
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