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.
Tauraso, R. (1999). Sets of Periods for Expanding Maps on Flat Manifolds. MONATSHEFTE FÜR MATHEMATIK, 128(2), 151-157 [10.1007/s006050050052].
Sets of Periods for Expanding Maps on Flat Manifolds
TAURASO, ROBERTO
1999-01-01
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.File in questo prodotto:
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