Dimensions of random affine code tree fractals

Abstract

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.

22 pages

References in corpus (1)

• Dimension and measures on sub-self-affine sets

Cited by in corpus (4)

• The quasi-Assouad dimension for stochastically self-similar sets
• The box dimension of random box-like self-affine sets
• Random affine code tree fractals: Hausdorff and affinity dimensions and pressure
• Self-affine sets with non-compactly supported random perturbations