The strong open set condition for self-conformal random fractals

Author:
Norbert Patzschke

Journal:
Proc. Amer. Math. Soc. **131** (2003), 2347-2358

MSC (2000):
Primary 28A80; Secondary 60D05, 60G57

DOI:
https://doi.org/10.1090/S0002-9939-03-07077-1

Published electronically:
March 18, 2003

MathSciNet review:
1974631

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Abstract | References | Similar Articles | Additional Information

Abstract: We prove that the open set condition and the strong open set condition are equivalent for self-conformal random fractals.

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Additional Information

**Norbert Patzschke**

Affiliation:
Fakultät für Mathematik und Informatik, Friedrich-Schiller-Universität Jena, D-07740 Jena, Germany

Email:
patzschke@mathematik.uni-jena.de

DOI:
https://doi.org/10.1090/S0002-9939-03-07077-1

Keywords:
Random fractals,
(strong) open set condition

Received by editor(s):
March 6, 2001

Received by editor(s) in revised form:
August 30, 2001

Published electronically:
March 18, 2003

Communicated by:
David Preiss

Article copyright:
© Copyright 2003
American Mathematical Society