Overlapping self-affine sets
Shmerkin, P (2006) Overlapping self-affine sets Indiana University Mathematics Journal, 55 (4). pp. 1291-1331.
Available under License : See the attached licence file.
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 . We extend their results to the overlapping region and also consider some extensions and generalizations.
|Divisions :||Faculty of Engineering and Physical Sciences > Mathematics|
|Identification Number :||https://doi.org/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|
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