Article Contents
Article Contents

Generic property of irregular sets in systems satisfying the specification property

• Let $f$ be a continuous map on a compact metric space. In this paper, under the hypothesis that $f$ satisfies the specification property, we prove that the set consisting of those points for which the Birkhoff ergodic average does not exist is either residual or empty.
Mathematics Subject Classification: Primary: 54H20; Secondary: 54E52.

 Citation:

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