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.
Citation
Tomasz Szarek. "On typical Markov operators acting on Borel measures." Abstr. Appl. Anal. 2005 (5) 489 - 497, 30 June 2005. https://doi.org/10.1155/AAA.2005.489
Information
Published: 30 June 2005
First available in Project Euclid: 25 July 2005
zbMATH: 1206.47027
MathSciNet: MR2201039
Digital Object Identifier: 10.1155/AAA.2005.489
Rights: Copyright © 2005 Hindawi
