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). pp. 323-348.
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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 | ||||||
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Date : | 2005 | ||||||
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Depositing User : | Symplectic Elements | ||||||
Date Deposited : | 03 Feb 2012 15:44 | ||||||
Last Modified : | 31 Oct 2017 14:19 | ||||||
URI: | http://epubs.surrey.ac.uk/id/eprint/121094 |
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