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Title: Solenoidal endomorphisms minimize topological entropy
Authors: Clark, Alex
Fokkink, Robbert
First Published: Jul-2009
Publisher: The Institute of Physics and the London Mathematical Society
Citation: Nonlinearity, 2009, 22 (7), pp. 1663-1672.
Abstract: The entropy conjecture was settled for tori in 1977 by Misiurewicz and Przytycki (Bull. Acad. Polon. Sci. Sr. Sci. Math. Astronom. Phys. 25 575–8). We show that their result extends from tori to finite-dimensional compact and connected abelian groups. We give stronger results for hyperbolic automorphisms.
ISSN: 0951-7715
Type: Article
Description: This paper was published as Nonlinearity, 2009, 22 (7), pp. 1663-1672. It is available from Doi: 10.1088/0951-7715/22/7/010
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Appears in Collections:Published Articles, Dept. of Mathematics

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