Wednesday, August 4, 2010

Hausdorff dimension of random nonconformal fractals

Nuno Luzia
(Instituto de Matemática-Universidade Federal do Rio de Janeiro, Brasil)

Abstract: We give a formula for the Hausdorff dimension of sets which are randomly generated using a finite number of nonconformal transformations, i.e possessing two different Lyapunov exponents. As a very particular case, we obtain an explicit formula for a random version of the famous general Sierpinski carpets.

Wednesday, August 4, 2010
Time: 15h00
Room: B3-01, Complexo Interdisciplinar, UL