Hausdorff dimension for triangular self-affine IFS
We consider self-affine IFS on the plane,, where are contracting lower diagonal matrices which differ only in their off-diagonal elements. We allow overlaps between the cylinders. We compute the Hausdorff dimension for the attractor under some conditions.
This talk is based on two papers: One of them is joint with B. Barany and M. Rams (to appear in ETDS) and the other one is in preparation and joint with my student I. Kolossvary.