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Items for "Hausdorff dimension"

Conformal measures for non-entire functions with critical values eventually mapped onto infinity

This paper is a continuation of our earlier works [7] and [9] on the fractal
structure of expanding and subexpanding meromorphic functions of the form F = H ° exp ° Q, where H and Q are non-constant rational maps...

Keywords: meromorphic functions, Julia set, Hausdorff dimension, topological pressure, conformal measures

04/2005 | Analysis, Oldenbourg Wissenschaftsverlag
On classification of singular measures and fractal properties of quasi-self-affine measures in R2

A multidimensional classification of singularly continuous (w.r.t. the Lebesgue measure) probability measures in R2 is introduced and a theorem on canonical representation of such measures is proven...

Keywords: Singularly continuous probability measures, Q*-representation of real numbers, -representation, self-affine sets, Fractals, Hausdorff dimension, DP-transformations, classification of singular measures

01/2008 | Random Operators and Stochastic Equations, Walter de Gruyter