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
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