On typical Markov operators acting on Borel measures

Tomasz Szarek

Abstract and Applied Analysis, 2005, vol. 2005, 1-9

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.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:810294

DOI: 10.1155/AAA.2005.489

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