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On typical Markov operators acting on Borel measures. (English) Zbl 1206.47027
Summary: 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.

##### MSC:
 47B38 Linear operators on function spaces (general) 28A80 Fractals 46E27 Spaces of measures 47A35 Ergodic theory of linear operators
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