Singularity of a class of self-similar measures

M. Niu and L.-F. Xi

Chaos, Solitons & Fractals, 2007, vol. 34, issue 2, 376-382

Abstract: This paper obtains a sufficient condition for certain self-similar measures being singular. One of its consequences is that the projection of the self-similar measure on Sierpinski carpet onto a line with rational slope is singular.

Date: 2007
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:34:y:2007:i:2:p:376-382

DOI: 10.1016/j.chaos.2006.03.029

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