Average convergence rate of the first return time
نویسندگان
چکیده
منابع مشابه
On the Convergence of Logarithmic First Return Times
Let T be an ergodic transformation on X and {αn} a sequence of partitions on X. Define Kn(x) = min{j ≤ 1 : T x ∈ αn(x)}, where αn(x) is the element of αn containing x. In this paper we give conditions on T and αn, for which limn→∞ log Kn(x) n exists. We study the question in one and higher dimensions.
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 2000
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm-84/85-1-159-171