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Singularity of a class of self-similar measures

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  • Niu, M.
  • Xi, L.-F.

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.

Suggested Citation

  • Niu, M. & Xi, L.-F., 2007. "Singularity of a class of self-similar measures," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 376-382.
    • Handle: RePEc:eee:chsofr:v:34:y:2007:i:2:p:376-382
    DOI: 10.1016/j.chaos.2006.03.029
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    Cited by:

    1. Calabrò, F. & Corbo Esposito, A. & Mantica, G. & Radice, T., 2016. "Refinable functions, functionals, and iterated function systems," Applied Mathematics and Computation, Elsevier, vol. 272(P1), pages 199-207.
    2. Simone Marsiglio & Privileggi, Fabio, 2020. "Three Dimensional Fractal Attractors in a Green Transition Economic Growth Model," Department of Economics and Statistics Cognetti de Martiis. Working Papers 202019, University of Turin.
    3. Rani, Mamta & Goel, Saurabh, 2009. "Categorization of new fractal carpets," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 1020-1026.
    4. La Torre, Davide & Marsiglio, Simone & Mendivil, Franklin & Privileggi, Fabio, 2015. "Self-similar measures in multi-sector endogenous growth models," Chaos, Solitons & Fractals, Elsevier, vol. 79(C), pages 40-56.

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