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Media type:
E-Article
Title:
Overlapping Self-affine Sets
Contributor:
Shmerkin, Pablo
Published:
Department of Mathematics of Indiana University, 2006
Published in:
Indiana University Mathematics Journal, 55 (2006) 4, Seite 1291-1331
Language:
English
ISSN:
0022-2518;
1943-5258
Origination:
Footnote:
Description:
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. Urbański [23]. We extend their results to the overlapping region and also consider some extensions and generalizations.