Self-Similar Sets. I. Topological MARKOV Chains and Mixed Self-Similar Sets
β Scribed by Christoph Bandt
- Publisher
- John Wiley and Sons
- Year
- 1989
- Tongue
- English
- Weight
- 1018 KB
- Volume
- 142
- Category
- Article
- ISSN
- 0025-584X
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π SIMILAR VOLUMES
## Abstract For a selfβsimilar set __E__ with the open set condition we completely determine the class of its Hausdorff gauges and the class of its prepacking gauges. Moreover, its Hausdorff measures and its packing premeasures with respect to the corresponding gauges are estimated. Without the ope
Much has been written on fractals, but their topological structure has rarely been investigated, in spite of the fact that most classical fractals were introduced by topologists. We propose an easy description of the topology of certain strictly self-similar sets which turns out to include also many
## Abstract For a homogeneous symmetric Cantor set __C__, we consider all real numbers __t__such that the intersection __C__β©(__C__ + __t__)is a selfβsimilar set and investigate the form of the corresponding iterated function systems. Β© 2011 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim