• Conceito de dimensão para conjuntos e medidas
• Conjuntos de Cantor e conjuntos auto-similares
• Relação com Teoria Ergódica e outros tópicos.

Bibliografia:
K. Falconer, Fractal Geometry: Mathematical Foundations and Applications, John Wiley & Sons.
J. Palis, F. Takens, Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations. Fractal dimensions and infinitely many attractors. Cambridge University Press.
P. Mattila, Geometry of sets and measures in Euclidean spaces.
Fractals and rectifiability, Cambridge University Press.