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.
Open Access
On typical Markov operators acting on Borel measures
Received20 Feb 2004
Copyright
Copyright © 2005 Hindawi Publishing Corporation. This is an open access article distributed under the
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