We prove that non-uniform self-similar measures have a multifractal spectrum in a parameter domain where the open set condition fails to hold. MSC 2010: 28A80 Key-words: self-similar measures, multifractal analysis, dimension spectrum, local dimension, potential theory, transversality
We prove that for a class of self-affine measures defined by an expanding matrix whose eigenvalues h...
AbstractIn this paper we obtain non-trivial bounds for the Lq-spectra of self-similar measures witho...
Classical multifractal analysis studies the local scaling behaviour of a single measure. However, re...
AbstractWe define the notion of quasi self-similar measures and show that for such measures their ge...
Self-similar measures form a fundamental class of fractal measures, and is much less understood if t...
Self-similar measures form a fundamental class of fractal measures, and is much less understood if t...
Self-similar measures form a fundamental class of fractal measures, and is much less understood if t...
AbstractThe self-similar vector-valued measure is a vector analogue of the self-similar measure. In ...
Let S-i : R-d --> R-d for i = 1,..., n be contracting similarities, and let (P-1, P-n) be a proba...
M. Das proved that the relative multifractal measures are mutually singular for the self-similar mea...
AbstractBy now the Lq-spectra of self-similar measures satisfying the so-called Open Set Condition i...
Abstract. For any self-similar measure µ on Rd satisfying the weak separation condition, we show tha...
We study families of possibly overlapping self-affine sets. Our main example is a family that can be...
We study families of possibly overlapping self-affine sets. Our main example is a family that can be...
AbstractClassical multifractal analysis studies the local scaling behaviour of a single measure. How...
We prove that for a class of self-affine measures defined by an expanding matrix whose eigenvalues h...
AbstractIn this paper we obtain non-trivial bounds for the Lq-spectra of self-similar measures witho...
Classical multifractal analysis studies the local scaling behaviour of a single measure. However, re...
AbstractWe define the notion of quasi self-similar measures and show that for such measures their ge...
Self-similar measures form a fundamental class of fractal measures, and is much less understood if t...
Self-similar measures form a fundamental class of fractal measures, and is much less understood if t...
Self-similar measures form a fundamental class of fractal measures, and is much less understood if t...
AbstractThe self-similar vector-valued measure is a vector analogue of the self-similar measure. In ...
Let S-i : R-d --> R-d for i = 1,..., n be contracting similarities, and let (P-1, P-n) be a proba...
M. Das proved that the relative multifractal measures are mutually singular for the self-similar mea...
AbstractBy now the Lq-spectra of self-similar measures satisfying the so-called Open Set Condition i...
Abstract. For any self-similar measure µ on Rd satisfying the weak separation condition, we show tha...
We study families of possibly overlapping self-affine sets. Our main example is a family that can be...
We study families of possibly overlapping self-affine sets. Our main example is a family that can be...
AbstractClassical multifractal analysis studies the local scaling behaviour of a single measure. How...
We prove that for a class of self-affine measures defined by an expanding matrix whose eigenvalues h...
AbstractIn this paper we obtain non-trivial bounds for the Lq-spectra of self-similar measures witho...
Classical multifractal analysis studies the local scaling behaviour of a single measure. However, re...
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