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.
Liviana
Paoletti
Segreteria Scientifica
Dipartimento di
Matematica
"L. Tonelli" Universita' di Pisa
tel.
0502213251
e-mail paoletti@dm.unipi.it