Displaying similar documents to “Multi-multifractal decomposition of digraph recursive fractals.”

On uniqueness of G-measures and g-measures

Ai Fan (1996)

Studia Mathematica

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We give a simple proof of the sufficiency of a log-lipschitzian condition for the uniqueness of G-measures and g-measures which were studied by G. Brown, A. H. Dooley and M. Keane. In the opposite direction, we show that the lipschitzian condition together with positivity is not sufficient. In the special case where the defining function depends only upon two coordinates, we find a necessary and sufficient condition. The special case of Riesz products is discussed and the Hausdorff dimension...

Which Bernoulli measures are good measures?

Ethan Akin, Randall Dougherty, R. Daniel Mauldin, Andrew Yingst (2008)

Colloquium Mathematicae

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For measures on a Cantor space, the demand that the measure be "good" is a useful homogeneity condition. We examine the question of when a Bernoulli measure on the sequence space for an alphabet of size n is good. Complete answers are given for the n = 2 cases and the rational cases. Partial results are obtained for the general cases.