6533b81ffe1ef96bd12786a0

RESEARCH PRODUCT

Dimensions of random affine code tree fractals

Maarit JärvenpääÖRjan StenfloHenna KoivusaloEsa JärvenpääAntti KäenmäkiVille Suomala

subject

Discrete mathematicsCode (set theory)v-variable fractalsApplied MathematicsGeneral MathematicsProbability (math.PR)ta111Dynamical Systems (math.DS)self-similar setsTree (descriptive set theory)Box countingFractalIterated function systemMathematics - Classical Analysis and ODEsHausdorff dimensionClassical Analysis and ODEs (math.CA)FOS: MathematicsAffine transformationMathematics - Dynamical Systems28A80 60D05 37H99RandomnessMathematics - ProbabilityMathematics

description

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.

yearjournalcountryeditionlanguage
2014-01-01
10.1017/etds.2012.168http://arxiv.org/abs/1202.0140