Calculus of Variations and Geometric Measure Theory

Z. Balogh - J. Tyson

Hausdorff dimensions of self-similar and self-affine fractals in the Heisenberg group

created on 06 Apr 2004
modified by zoltan on 13 Aug 2007


Published Paper

Inserted: 6 apr 2004
Last Updated: 13 aug 2007

Journal: Proc. London Math. Soc.
Volume: 95
Number: 3
Pages: 153-183
Year: 2005


We study the Hausdorff dimensions of invariant sets for self-similar and self-affine iterated function systems in the Heisenberg group.

Keywords: Hausdorff measures, Heisenberg group, iterated function system, self-affine fractals