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Nonuniform Markov Geometric Measures

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

Nonuniform Markov Geometric Measures

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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.