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Aug 21, 2014 at 19:49 comment added Andreas Thom Sorry, you are right, I got the reference wrong.
Aug 21, 2014 at 19:08 comment added Joe Silverman Thanks. As Doug Lind pointed out in his answer, the paper you cite has the result if the unitary set of $f$ is finite. The result for codimension 2 or greater unitary sets is in the paper: [MR3082539] Lind, Douglas; Schmidt, Klaus; Verbitskiy, Evgeny; Homoclinic points, atoral polynomials, and periodic points of algebraic $\mathbb{Z}^d$-actions. Ergodic Theory Dynam. Systems 33 (2013), no. 4, 1060–1081.
Aug 21, 2014 at 15:39 history edited Andreas Thom CC BY-SA 3.0
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Aug 20, 2014 at 21:19 history edited Andreas Thom CC BY-SA 3.0
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Aug 20, 2014 at 21:14 history answered Andreas Thom CC BY-SA 3.0