Calculus of Variations and Geometric Measure Theory

Constructing fractals in metric spaces

Tapio Rajala (University of Jyväskylä)

created by magnani on 05 Nov 2010
modified by paolini on 25 Oct 2011

10 nov 2010 -- 17:00   [open in google calendar]

Dipartimento di Matematica - Sala Seminari


I will discuss the construction of (fractal) sets in metric spaces and visit the following topics: (1) Separation conditions for self-similar mappings in metric spaces. In particular the open set condition and requirements that accompany it. (2) An approach to study set constructions in metric spaces which, for example, do not support any non-trivial similitude mappings. (3) The simple and yet powerful idea of mixing self-similar constructions. Some examples in Carnot groups will be given.