Overlapping self-affine sets
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Shmerkin, P (2006) Overlapping self-affine sets Indiana University Mathematics Journal, 55 (4). 1291 - 1331. ISSN 0022-2518
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Official URL: http://dx.doi.org/10.1512/iumj.2006.55.2718
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 |
| Related URLs: | |
| ID Code: | 121086 |
| Deposited By: | Symplectic Elements |
| Deposited On: | 03 Feb 2012 15:26 |
| Last Modified: | 30 Mar 2013 14:41 |
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