Second-order ergodic theorem for self-similar tiling systems
نویسندگان
چکیده
منابع مشابه
Second Order Ergodic Theorem for Self-similar Tiling Systems
We consider infinite measure-preserving non-primitive selfsimilar tiling systems in Euclidean space R. We establish the secondorder ergodic theorem for such systems. The speed of convergence is determined by the Hausdorff dimension of a graph-directed set associated to the substitution rule.
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2013
ISSN: 0143-3857,1469-4417
DOI: 10.1017/etds.2013.27