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Overlapping self-affine sets

Shmerkin, P (2006) Overlapping self-affine sets Indiana University Mathematics Journal, 55 (4). 1291 - 1331. ISSN 0022-2518

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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 :
AuthorsEmail
Shmerkin, PUNSPECIFIED
Date : 2006
Identification Number : 10.1512/iumj.2006.55.2718
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 03 Feb 2012 15:26
Last Modified : 23 Sep 2013 19:01
URI: http://epubs.surrey.ac.uk/id/eprint/121086

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