Communications in Mathematical Analysis

Nonuniform Markov Geometric Measures

J. Neunhäuserer

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Abstract

We generalize results of Fan and Zhang [6] on absolute continuity and singularity of the golden Markov geometric series to nonuniform stochastic series given by arbitrary Markov process. In addition we describe an application of these results in fractal geometry.

Article information

Source
Commun. Math. Anal., Volume 18, Number 1 (2015), 36-47.

Dates
First available in Project Euclid: 12 August 2015

Permanent link to this document
https://projecteuclid.org/euclid.cma/1439384426

Mathematical Reviews number (MathSciNet)
MR3365172

Zentralblatt MATH identifier
1323.26015

Subjects
Primary: 26A46: Absolutely continuous functions 26A30: Singular functions, Cantor functions, functions with other special properties 28A80: Fractals [See also 37Fxx]

Keywords
Markov processes random powers series singularity absolute continuity dimension fractals

Citation

Neunhäuserer, J. Nonuniform Markov Geometric Measures. Commun. Math. Anal. 18 (2015), no. 1, 36--47. https://projecteuclid.org/euclid.cma/1439384426


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