Hausdorff dimension for triangular self-affine IFS

Date: 
Sunday, 21 January, 2018 - 10:00 - 11:00
Venue: 
LSB 222
Seminar Type: 
Workshop on Fractals and Related Areas
Speaker Name: 
Prof. Károly SIMON
Affiliation: 
Budapest University of Technology & Economics
Abstract: 

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.