6533b837fe1ef96bd12a2a15

RESEARCH PRODUCT

Geometric rigidity of a class of fractal sets

Antti Käenmäki

subject

Set (abstract data type)Class (set theory)Pure mathematicsIterated function systemFractalGeneral MathematicsFOS: MathematicsRigidity (psychology)Fractal setDynamical Systems (math.DS)Mathematics - Dynamical SystemsSubmanifoldMathematics

description

We study geometric rigidity of a class of fractals, which is slightly larger than the collection of self-conformal sets. Namely, using a new method, we shall prove that a set of this class is contained in a smooth submanifold or is totally spread out. (© 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

https://doi.org/10.1002/mana.200510354