Add to ORKGAbstract. We conduct the multifractal analysis of self-affine measures for “al-most all ” family of affine maps. Besides partially extending Falconer’s formula of Lq-spectrum outside the range 1 < q ≤ 2, the multifractal formalism is also partially verified. 1
We introduce multifractal zetafunctions providing precise information of a very general class of mul...
AbstractClassical multifractal analysis studies the local scaling behaviour of a single measure. How...
Journal PaperTo characterize the geometry of a measure, its so-called generalized dimensions D(<i>q<...
We prove that for a class of self-affine measures defined by an expanding matrix whose eigenvalues h...
We study the dimension theory of a class of planar self-affine multifractal measures. These mea-sure...
We study families of possibly overlapping self-affine sets. Our main example is a family that can be...
We study the dimension theory of a class of planar self-affine multifractal measures. These measures...
Journal PaperThere are strong reasons to believe that the multifractal spectrum of DLA shows anomali...
AbstractThere are strong reasons to believe that the multifractal spectrum of DLA shows anomalies wh...
Self-similar measures form a fundamental class of fractal measures, and is much less understood if t...
AbstractTo characterize the geometry of a measure, its generalized dimensions dq have been introduce...
Abstract. In this paper we compute the multifractal analysis for local dimensions of Bernoulli measu...
Two of the main objects of study in multifractal analysis of measures are the coarse multifractal sp...
In this paper we study the multifractal structure of a certain class of self-affine measures known a...
In this paper we consider self-affine IFS fSigm0i=1 on the plane of the form Si(x1; x2) = (ix1 + t ...
We introduce multifractal zetafunctions providing precise information of a very general class of mul...
AbstractClassical multifractal analysis studies the local scaling behaviour of a single measure. How...
Journal PaperTo characterize the geometry of a measure, its so-called generalized dimensions D(<i>q<...
We prove that for a class of self-affine measures defined by an expanding matrix whose eigenvalues h...
We study the dimension theory of a class of planar self-affine multifractal measures. These mea-sure...
We study families of possibly overlapping self-affine sets. Our main example is a family that can be...
We study the dimension theory of a class of planar self-affine multifractal measures. These measures...
Journal PaperThere are strong reasons to believe that the multifractal spectrum of DLA shows anomali...
AbstractThere are strong reasons to believe that the multifractal spectrum of DLA shows anomalies wh...
Self-similar measures form a fundamental class of fractal measures, and is much less understood if t...
AbstractTo characterize the geometry of a measure, its generalized dimensions dq have been introduce...
Abstract. In this paper we compute the multifractal analysis for local dimensions of Bernoulli measu...
Two of the main objects of study in multifractal analysis of measures are the coarse multifractal sp...
In this paper we study the multifractal structure of a certain class of self-affine measures known a...
In this paper we consider self-affine IFS fSigm0i=1 on the plane of the form Si(x1; x2) = (ix1 + t ...
We introduce multifractal zetafunctions providing precise information of a very general class of mul...
AbstractClassical multifractal analysis studies the local scaling behaviour of a single measure. How...
Journal PaperTo characterize the geometry of a measure, its so-called generalized dimensions D(<i>q<...