Maximal entropy measures for piecewise affine surface homeomorphisms
نویسندگان
چکیده
منابع مشابه
Maximal Entropy Measures for Piecewise Affine Surface Homeomorphisms
We study the dynamics of piecewise affine surface homeomorphisms from the point of view of their entropy. Under the assumption of positive topological entropy, we establish the existence of finitely many ergodic and invariant probability measures maximizing entropy and prove a multiplicative lower bound for the number of periodic points. This is intended as a step towards the understanding of s...
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2009
ISSN: 0143-3857,1469-4417
DOI: 10.1017/s0143385708000953