AbstractA self-conformal measure is a measure invariant under a set of conformal mappings. In this paper we describe the local structure of self-conformal measures. For such a measure we divide its support into sets of fixed local dimension and give a formula for the Hausdorff and packing dimensions of these sets. Moreover, we compute the generalized dimensions of the self-conformal measure
AbstractClassical multifractal analysis studies the local scaling behaviour of a single measure. How...
Many important definitions in the theory of multifractal measures on ℝd, such as the Lq-spectrum, L∞...
The purpose of this dissertation is to introduce a natural and unifying multifractal formalism which...
AbstractA self-conformal measure is a measure invariant under a set of conformal mappings. In this p...
We study the dimension theory of a class of planar self-affine multifractal measures. These mea-sure...
AbstractWe define the notion of quasi self-similar measures and show that for such measures their ge...
We study the dimension theory of a class of planar self-affine multifractal measures. These measures...
In this thesis we study the multifractal structure of graph directed self-conformal measures. We beg...
AbstractTo characterize the geometry of a measure, its generalized dimensions dq have been introduce...
. We consider subsets F of R n generated by iterated function systems with contracting conformal C...
In this paper we study the multifractal structure of a certain class of self-affine measures known a...
The vector-valued measure generated by the self-conformal iterated function system (IFS) was introdu...
AbstractWe show that the fractal curvature measures of invariant sets of one-dimensional conformal i...
Journal PaperTo characterize the geometry of a measure, its so-called generalized dimensions D(<i>q<...
Abstract. We conduct the multifractal analysis of self-affine measures for “al-most all ” family of ...
AbstractClassical multifractal analysis studies the local scaling behaviour of a single measure. How...
Many important definitions in the theory of multifractal measures on ℝd, such as the Lq-spectrum, L∞...
The purpose of this dissertation is to introduce a natural and unifying multifractal formalism which...
AbstractA self-conformal measure is a measure invariant under a set of conformal mappings. In this p...
We study the dimension theory of a class of planar self-affine multifractal measures. These mea-sure...
AbstractWe define the notion of quasi self-similar measures and show that for such measures their ge...
We study the dimension theory of a class of planar self-affine multifractal measures. These measures...
In this thesis we study the multifractal structure of graph directed self-conformal measures. We beg...
AbstractTo characterize the geometry of a measure, its generalized dimensions dq have been introduce...
. We consider subsets F of R n generated by iterated function systems with contracting conformal C...
In this paper we study the multifractal structure of a certain class of self-affine measures known a...
The vector-valued measure generated by the self-conformal iterated function system (IFS) was introdu...
AbstractWe show that the fractal curvature measures of invariant sets of one-dimensional conformal i...
Journal PaperTo characterize the geometry of a measure, its so-called generalized dimensions D(<i>q<...
Abstract. We conduct the multifractal analysis of self-affine measures for “al-most all ” family of ...
AbstractClassical multifractal analysis studies the local scaling behaviour of a single measure. How...
Many important definitions in the theory of multifractal measures on ℝd, such as the Lq-spectrum, L∞...
The purpose of this dissertation is to introduce a natural and unifying multifractal formalism which...
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