Dani, S. G. (1988) On orbits of endomorphisms of tori and the schmidt game Ergodic Theory & Dynamical Systems, 8 (4). pp. 523-529. ISSN 0143-3857
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Official URL: http://journals.cambridge.org/action/displayAbstra...
Related URL: http://dx.doi.org/10.1017/S0143385700004673
Abstract
We show that there exists a subset F of the n-dimensional torus Tn such that F has Hausdorff dimension n and for any xε F and any semisimple automorphism σ of Tn the closure of the σ -orbit of x contains no periodic points.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Cambridge University Press. |
| ID Code: | 8234 |
| Deposited On: | 26 Oct 2010 12:07 |
| Last Modified: | 30 May 2011 06:12 |
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