Nonuniform Markov geometric measures

Jörg Neunhäuserer

Nonuniform Markov geometric measures

Research output: Journal contributions › Journal articles › Research › peer-review

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Nonuniform Markov geometric measures. / Neunhäuserer, Jörg.

In: Communications in Mathematical Analysis , Vol. 18, No. 1, 2015, p. 36-47.

Research output: Journal contributions › Journal articles › Research › peer-review

Bibtex

@article{27bb9bfae1ce4ca6bd60164d03ba6507,

title = "Nonuniform Markov geometric measures",

abstract = "We generalize results of Fan and Zhang [6] on absolute continuity and singularity ofthe 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.",

keywords = "Mathematics, Markov processes, random powers series, singularity, absolute continuity, dimension, fractals",

author = "J{\"o}rg Neunh{\"a}userer",

year = "2015",

language = "English",

volume = "18",

pages = "36--47",

journal = "Communications in Mathematical Analysis",

issn = "1938-9787",

publisher = "Mathematical Research Publishers",

number = "1",

}

RIS

TY - JOUR

T1 - Nonuniform Markov geometric measures

AU - Neunhäuserer, Jörg

PY - 2015

Y1 - 2015

N2 - We generalize results of Fan and Zhang [6] on absolute continuity and singularity ofthe 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.

AB - We generalize results of Fan and Zhang [6] on absolute continuity and singularity ofthe 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.

KW - Mathematics

KW - Markov processes, random powers series, singularity, absolute continuity, dimension, fractals

M3 - Journal articles

VL - 18

SP - 36

EP - 47

JO - Communications in Mathematical Analysis

JF - Communications in Mathematical Analysis

SN - 1938-9787

IS - 1

ER -