Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

On the weaker forms of the specification property and their applications

Author(s): Kenichiro Yamamoto
Journal: Proc. Amer. Math. Soc. 137 (2009), 3807-3814.
MSC (2000): Primary 37B40; Secondary 60F10
Posted: June 10, 2009
MathSciNet review: 2529890
Retrieve article in: PDF

Abstract | References | Similar articles | Additional information

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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