|
Organizers |
Geometric Rigidity of Limit Sets of Conformal Iterated Function Systems
by
Mariusz Urbanski
University of North Texas
Coauthors: Volker Mayer (Universite de Lille I)
We consider infinite conformal iterated function systems in the Euclidean phase space Rd with d greater than or equal to 3. Let J be the limit set of such a system. Under a mild technical assumption which is always satisfied if the system is finite, either the Hausdorff dimension of J exceeds the topological dimension k of the closure of J or else the closure of J is a proper compact subset of either a geometric sphere or an affine subspace of dimension k. A similar dichotomy holds for conformal expanding repellers.
Date received: February 4, 2006
Copyright © 2006 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caqs-25.