Dimensions of random affine code tree fractals

Antti K\"aenm\"aki; Esa J\"arvenp\"a\"a; Henna Koivusalo; Maarit J\"arvenp\"a\"a; \"Orjan Stenflo; Ville Suomala

arxiv: 1202.0140 · v1 · pith:XE7T5ZRVnew · submitted 2012-02-01 · 🧮 math.DS · math.CA· math.PR

Dimensions of random affine code tree fractals

Esa J\"arvenp\"a\"a , Maarit J\"arvenp\"a\"a , Antti K\"aenm\"aki , Henna Koivusalo , \"Orjan Stenflo , Ville Suomala This is my paper

classification 🧮 math.DS math.CAmath.PR

keywords randomaffinecodefractalsmeasurestreealmostcalculate

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We calculate the almost sure Hausdorff dimension for a general class of random affine planar code tree fractals. The set of probability measures describing the randomness includes natural measures in random $V$-variable and homogeneous Markov constructions.

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Dimensions of random affine code tree fractals

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