Topological and almost Borel universality for systems with the weak specification property
نویسندگان
چکیده
منابع مشابه
Irregular Sets, the Β-transformation and the Almost Specification Property
Let (X, d) be a compact metric space, f : X 7→ X be a continuous map satisfying a property we call almost specification (which is slightly weaker than the g-almost product property of Pfister and Sullivan), and φ : X 7→ R be a continuous function. We show that the set of points for which the Birkhoff average of φ does not exist (which we call the irregular set) is either empty or has full topol...
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2019
ISSN: 0143-3857,1469-4417
DOI: 10.1017/etds.2019.7