## Abstract and Applied Analysis

### On typical Markov operators acting on Borel measures

Tomasz Szarek

#### 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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2005, Number 5 (2005), 489-497.

Dates
First available in Project Euclid: 25 July 2005

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1122298481

Digital Object Identifier
doi:10.1155/AAA.2005.489

Mathematical Reviews number (MathSciNet)
MR2201039

Zentralblatt MATH identifier
1206.47027

#### Citation

Szarek, Tomasz. On typical Markov operators acting on Borel measures. Abstr. Appl. Anal. 2005 (2005), no. 5, 489--497. doi:10.1155/AAA.2005.489. https://projecteuclid.org/euclid.aaa/1122298481

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