Sets of Periods for Expanding Maps on Flat Manifolds |
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Authors: | Roberto Tauraso |
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Institution: | (1) C.N.R.S. and Universit? Paris-Sud, Orsay, France; |
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Abstract: | It is proven that the sets of periods for expanding maps on n-dimensional flat manifolds are uniformly cofinite, i.e. there is a positive integer m 0, which depends only on n, such that for any integer , for any n-dimensional flat manifold ℳ and for any expanding map F on ℳ, there exists a periodic point of F whose least period is exactly m. |
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