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Solenoidal endomorphisms minimize topological entropy

By Alex Clark and Robbert Fokkink

Abstract

This paper was published as Nonlinearity, 2009, 22 (7), pp. 1663-1672. It is available from http://iopscience.iop.org/0951-7715/22/7/010/. Doi: 10.1088/0951-7715/22/7/010Metadata only entryThe 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

Publisher: The Institute of Physics and the London Mathematical Society
Year: 2009
DOI identifier: 10.1088/0951-7715
OAI identifier: oai:lra.le.ac.uk:2381/7924
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