A modified multifractal formalism for a class of self-similar measures with overlap
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Shmerkin, P (2005) A modified multifractal formalism for a class of self-similar measures with overlap The Asian Journal of Mathematics, 9 (3). 323 - 348. ISSN 1093-6106
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Abstract
We study families of possibly overlapping self-affine sets. Our main example is a family that can be considered the self-affine version of Bernoulli convolutions and was studied, in the non-overlapping case, by F. Przytycki and M. Urba´nski [23]. We extend their results to the overlapping region and also consider some extensions and generalizations.
| Item Type: | Article |
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| Divisions: | Faculty of Engineering and Physical Sciences > Mathematics |
| Related URLs: | |
| ID Code: | 121094 |
| Deposited By: | Symplectic Elements |
| Deposited On: | 03 Feb 2012 15:44 |
| Last Modified: | 30 Mar 2013 14:41 |
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