Local Iterated Function Systems (IFSs) and Self-Referential Functions


Speaker: P. Massopust, Technische Universität München

Date: Tuesday, March 31st

Time: 3:00pm

Location:  Seminar Room, Ag 1.01

Abstract:

We present the concept of local IFS and highlight some of their properties. As a special but nonetheless very important subclass of local IFSs we consider those whose attractors are graphs of functions. We associate with this subclass of local IFSs a function-valued operator and derive conditions under which this operator maps certain classes of function spaces into themselves.  Finally, we introduce fractels (= fractal elements) for both IFSs and functions, and show that fractels give a more
intrinsic characterization of self-referentiabiity.

 

Series: Analysis