Nuno Luzia

luzia at

I am a posdoctoral researcher at CMAF, Lisbon University. Lisbon Dynamical Systems Group.
I am financially supported by Fundação para a Ciência e a Tecnologia.
Soon I will be moving to UFRJ, Rio de Janeiro.

Research interests: Dynamical systems, ergodic theory, dimension theory

PhD Thesis: A variational principle for dimension for a class of non-conformal repellers.

° A variational principle for the dimension for a class of non-conformal repellers. Ergodic Th. & Dynam. Sys. 26 (2006), 821-845.
° Hausdorff dimension for an open class of repellers in R². Nonlinearity 19 (2006), 2895-2908.
º Measure of full dimension for some nonconformal repellers. To appear in Discrete Contin. Dyn. Syst. arXiv:0705.3604v1

º The Hausdorff dimension of self-affine Sierpinski sponges. Preprint, 2008. arXiv:0804.1956

Main Talks:
º International Conference on Dynamical Systems, August 3-10, 2005, Brazil.
º International Symposium of Dynamical Systems.
  Celebrating the 60th Anniversary of Welington de Melo. October 23-28, 2006, Brazil.
º Minicourse on Hausdorff dimension. CMUP, Porto, June 4-6, 2007. Notes
º Workshop on Dynamical Systems and Ergodic Theory, Göttingen, July 27-28, 2007, Germany.
º  Summer School in Dynamical Systems. Coimbra, July 21-25, 2008. Notes