NDLI: Solenoidal endomorphisms minimize topological entropy

Content Provider	Scilit
Author	Clark, Alex Fokkink, Robbert
Copyright Year	2009
Description	Journal: Nonlinearity 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.
Related Links	http://iopscience.iop.org/article/10.1088/0951-7715/22/7/010/pdf
Ending Page	1671
Page Count	9
Starting Page	1663
ISSN	09517715
e-ISSN	13616544
DOI	10.1088/0951-7715/22/7/010
Journal	Nonlinearity
Issue Number	7
Volume Number	22
Language	English
Publisher	IOP Publishing
Publisher Date	2009-06-04
Access Restriction	Open
Subject Keyword	Journal: Nonlinearity Topological Entropy Minimize Topological Solenoidal Endomorphisms Minimize
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Statistical and Nonlinear Physics Mathematical Physics

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Solenoidal endomorphisms minimize topological entropy