Friday, March 15, 2013

Hausdorff dimension of certain self-affine sponges

Nuno Luzia
(Universidade Federal do Rio de Janeiro)

Abstract: The Hausdorff dimension of fractals defined by ttranformations in the plane iniciated with the famous Sierpinski carpets by Bedford and McMullen and further generalizations specially Lalley-Gatzouras carpets. For fractals defined in the space we only know the Hausdorff dimension of the three-dimensional versions of Sierpinski carpets by Kenyon and Peres. In this talk we shall consider the class of fractals which correspond to the three-dimensional versions of Lalley-Gatzouras carpets and compute the Hausdorff dimension of certain fractals in this class.

Friday, March 15, 2013
Time: 10h00
Room: Sala 306, Edificio Quelhas, ISEG