AbstractThe self-similar vector-valued measure is a vector analogue of the self-similar measure. In this paper we consider its multifractal structure. We show that the multifractal formalism holds if the iterated function system (IFS) involved satisfies the open set condition. This result can be applied to the study of the multifractal formalism of certain self-similar IFS with overlaps
The purpose of this dissertation is to introduce a natural and unifying multifractal formalism which...
AbstractBy now the Lq-spectra of self-similar measures satisfying the so-called Open Set Condition i...
AbstractClassical multifractal analysis studies the local scaling behaviour of a single measure. How...
AbstractThe self-similar vector-valued measure is a vector analogue of the self-similar measure. In ...
The vector-valued measure generated by the self-conformal iterated function system (IFS) was introdu...
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...
By constructing an infinite graph-directed iterated function system associated with a finite iterate...
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...
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...
M. Das proved that the relative multifractal measures are mutually singular for the self-similar mea...
Let S-i : R-d -> R-d for i = 1,...,N be contracting similarities. Also, let (P-1, - - -, P-N, P) ...
The purpose of this dissertation is to introduce a natural and unifying multifractal formalism which...
AbstractBy now the Lq-spectra of self-similar measures satisfying the so-called Open Set Condition i...
AbstractClassical multifractal analysis studies the local scaling behaviour of a single measure. How...
AbstractThe self-similar vector-valued measure is a vector analogue of the self-similar measure. In ...
The vector-valued measure generated by the self-conformal iterated function system (IFS) was introdu...
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...
By constructing an infinite graph-directed iterated function system associated with a finite iterate...
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...
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...
M. Das proved that the relative multifractal measures are mutually singular for the self-similar mea...
Let S-i : R-d -> R-d for i = 1,...,N be contracting similarities. Also, let (P-1, - - -, P-N, P) ...
The purpose of this dissertation is to introduce a natural and unifying multifractal formalism which...
AbstractBy now the Lq-spectra of self-similar measures satisfying the so-called Open Set Condition i...
AbstractClassical multifractal analysis studies the local scaling behaviour of a single measure. How...
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