On the weaker forms of the specification property and their applications

2009/07/27 by Kenichiro Yamamoto · 6 citations
Mathematics · Computer Science · #Mathematical Dynamics and Fractals #Advanced Topology and Set Theory #Cellular Automata and Applications

paper · pdf · doi:10.1090/s0002-9939-09-09937-7

Abstract

We show the following two results, which are derived from the weaker forms of the specification property: Firstly, if an automorphism of a compact metric abelian group with finite topological entropy is ergodic under the Haar measure, then it satisfies the level 2 large deviation principle. Secondly, the topological pressure formula for periodic orbits is given under the expansiveness and the almost product property.

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