----- Original Message ----- From: magnani@dm.unipi.it To: "Liviana Paoletti" paoletti@dm.unipi.it Sent: Monday, November 08, 2010 8:48 AM

Titolo: Constructing fractals in metric spaces Speaker: Tapio Rajala (Scuola Normale Superiore and University of Jyvaskyla)ciclo di ``Seminari di Calcolo delle Variazioni e Analisi Geometrica'' Data: 10 Nov 2010

Dipartimento di Matematica - Sala Seminari - ore 17:00

ABSTRACT: 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.

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