Continuity of conditional measures associated to measure-preserving semiflows
نویسندگان
چکیده
منابع مشابه
Continuity of Conditional Measures Associated to Measure-preserving Semiflows
LetX be a standard probability space and Tt a measure-preserving semiflow on X. We show that there exists a set X0 of full measure in X such that for any x ∈ X0 and t ≥ 0 there are measures μx,t and μ − x,t which for all but a countable number of t give a distribution on the set of points y such that Tt(y) = Tt(x). These measures arise by taking weak∗−limits of suitable conditional expectations...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2008
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-08-04501-7