Karoly Simon
Title:
Hausdorff dimension for triangular self-affine IFS.
Abstract:
We consider self-affine IFS on the plane, $\{S_i(x,y)=A_i x+t_i\}_{i=1}^m$, where $A_i$ are $2\times 2$ 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.