Displaying similar documents to “Kolmogorov-Smirnov isometries and affine automorphisms of spaces of distribution functions”

Continuous dependence on parameters of certain self-affine measures, and their singularity

Daoxin Ding (2011)

Czechoslovak Mathematical Journal

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In this paper, we first prove that the self-affine sets depend continuously on the expanding matrix and the digit set, and the corresponding self-affine measures with respect to the probability weight behave in much the same way. Moreover, we obtain some sufficient conditions for certain self-affine measures to be singular.