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Abstract
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Abstract and Applied Analysis
Volume 2005 (2005), Issue 5, Pages 489-497
doi:10.1155/AAA.2005.489

On typical Markov operators acting on Borel measures

Tomasz Szarek

Institute of Mathematics, University of Silesia, Bankowa 14, Katowice 40-007, Poland

Abstract

It is proved that, in the sense of Baire category, almost every Markov operator acting on Borel measures is asymptotically stable and the Hausdorff dimension of its invariant measure is equal to zero.