Overlapping self-affine sets

Overlapping self-affine sets
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重叠自仿射集

DOI:
10.1512/iumj.2006.55.2718
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发表时间:
2004
影响因子:
1.1
通讯作者:
Pablo Shmerkin
Pablo Shmerkin
中科院分区:
数学3区
文献类型:
--
作者:
Pablo Shmerkin

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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.