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2015 Nonuniform Markov Geometric Measures
J. Neunhäuserer
Commun. Math. Anal. 18(1): 36-47 (2015).

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.

Citation

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J. Neunhäuserer. "Nonuniform Markov Geometric Measures." Commun. Math. Anal. 18 (1) 36 - 47, 2015.

Information

Published: 2015
First available in Project Euclid: 12 August 2015

zbMATH: 1323.26015
MathSciNet: MR3365172

Subjects:
Primary: 26A30 , 26A46 , 28A80

Keywords: Absolute continuity , dimension , Fractals , Markov processes , random powers series , singularity

Rights: Copyright © 2015 Mathematical Research Publishers

Vol.18 • No. 1 • 2015
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