AbstractIn this paper we obtain non-trivial bounds for the Lq-spectra of self-similar measures without any separation conditions for q⩽1. As an application we obtain non-trivial upper bounds for the multifractal spectra of arbitrary self-similar measure without any separation conditions. Some examples illustrating our results are also discussed
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...
Let S-i : R-d -> R-d for i = 1,...,N be contracting similarities. Also, let (P-1, - - -, P-N, P) ...
AbstractBy now the Lq-spectra of self-similar measures satisfying the so-called Open Set Condition i...
AbstractWe define the notion of quasi self-similar measures and show that for such measures their ge...
We prove that non-uniform self-similar measures have a multifractal spectrum in a parameter domain w...
AbstractThe Lq-spectrum of a Borel measure is one of the key objects in multifractal analysis, and i...
We prove that for a class of self-affine measures defined by an expanding matrix whose eigenvalues h...
Self-similar measures form a fundamental class of fractal measures, and is much less understood if t...
The L-q-spectrum of a Borel measure is one of the key objects in multifractal analysis, and it is wi...
Abstract. For any self-similar measure µ on Rd satisfying the weak separation condition, we show tha...
AbstractBy now the Lq-spectra of self-conformal measures satisfying the so-called open set condition...
We study Lq-spectra of planar self-affine measures generated by diagonal matrices. We introduce a ne...
We study the dimension theory of a class of planar self-affine multifractal measures. These measures...
The thesis consists of four main chapters. The first chapter includes an introduction to inhomogeneo...
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...
Let S-i : R-d -> R-d for i = 1,...,N be contracting similarities. Also, let (P-1, - - -, P-N, P) ...
AbstractBy now the Lq-spectra of self-similar measures satisfying the so-called Open Set Condition i...
AbstractWe define the notion of quasi self-similar measures and show that for such measures their ge...
We prove that non-uniform self-similar measures have a multifractal spectrum in a parameter domain w...
AbstractThe Lq-spectrum of a Borel measure is one of the key objects in multifractal analysis, and i...
We prove that for a class of self-affine measures defined by an expanding matrix whose eigenvalues h...
Self-similar measures form a fundamental class of fractal measures, and is much less understood if t...
The L-q-spectrum of a Borel measure is one of the key objects in multifractal analysis, and it is wi...
Abstract. For any self-similar measure µ on Rd satisfying the weak separation condition, we show tha...
AbstractBy now the Lq-spectra of self-conformal measures satisfying the so-called open set condition...
We study Lq-spectra of planar self-affine measures generated by diagonal matrices. We introduce a ne...
We study the dimension theory of a class of planar self-affine multifractal measures. These measures...
The thesis consists of four main chapters. The first chapter includes an introduction to inhomogeneo...
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...
Let S-i : R-d -> R-d for i = 1,...,N be contracting similarities. Also, let (P-1, - - -, P-N, P) ...
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