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Convolutions and the Geometry of Multifractal Measures

✍ Scribed by K. J. Falconer; T. C. O'Neil

Book ID
112141571
Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
936 KB
Volume
204
Category
Article
ISSN
0025-584X

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πŸ“œ SIMILAR VOLUMES

Convolutions and the Geometry of Multifr
Convolutions and the Geometry of Multifractal Measures
✍ K. J. Falconer; T. C. O'Neil πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 936 KB

Abrtrrct. This paper relates multifractd featurea of a measure p on IR" to thoee of the projection of the measure onto m-dimensional subpaces. We .chieve thin through the rtudy of appropriately defined convolution kern&. This provides a unified approrcb to projections of measurea and leads to new re

Multifractal Structure of Convolution of
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✍ Tian-You Hu; Ka-Sing Lau πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 138 KB

The multifractal structure of measures generated by iterated function systems (IFS) with overlaps is, to a large extend, unknown. In this paper we study the local dimension of the m-time convolution of the standard Cantor measure Β΅. By using some combinatoric techniques, we show that the set E of at

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✍ Kenneth J. Falconer and Toby C. O'Neil πŸ“‚ Article πŸ“… 1996 πŸ› The Royal Society 🌐 English βš– 529 KB