## Abstract For a selfโsimilar 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
Computability of Self-Similar Sets
โ Scribed by Hiroyasu Kamo; Kiko Kawamura
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 466 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0044-3050
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๐ SIMILAR VOLUMES
We consider how to represent the measurable sets in an infinite measure space. We use sequences of simple measurable sets converging under metrics to represent general measurable sets. Then we study the computability of the measure and the set operators of measurable sets with respect to such repres
## Abstract For a homogeneous symmetric Cantor set __C__, we consider all real numbers __t__such that the intersection __C__โฉ(__C__ + __t__)is a selfโsimilar set and investigate the form of the corresponding iterated function systems. ยฉ 2011 WILEYโVCH Verlag GmbH & Co. KGaA, Weinheim
## Abstract Locally finite selfโsimilar graphs with bounded geometry and without bounded geometry as well as nonโlocally finite selfโsimilar graphs are characterized by the structure of their cell graphs. Geometric properties concerning the volume growth and distances in cell graphs are discussed.