A modified multifractal formalism for a class of self-similar measures with overlap

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
Divisions :	Faculty of Engineering and Physical Sciences > Mathematics
Authors :	Authors Email ORCID Shmerkin, P UNSPECIFIED UNSPECIFIED
Date :	2005
Related URLs :	Publisher
Depositing User :	Symplectic Elements
Date Deposited :	03 Feb 2012 15:44
Last Modified :	23 Sep 2013 19:01
URI:	http://epubs.surrey.ac.uk/id/eprint/121094

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