We prove that for a class of self-affine measures defined by an expanding matrix whose eigenvalues have the same modulus, the L q-spectrum τ(q) is differentiable for all q \u3e 0. Furthermore, we prove that the multifractal formalism holds in the region corresponding to q \u3e 0
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...
By constructing an infinite graph-directed iterated function system associated with a finite iterate...
Abstract. We conduct the multifractal analysis of self-affine measures for “al-most all ” family of ...
We study the dimension theory of a class of planar self-affine multifractal measures. These measures...
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...
We study the dimension theory of a class of planar self-affine multifractal measures. These mea-sure...
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...
We prove that non-uniform self-similar measures have a multifractal spectrum in a parameter domain w...
The vector-valued measure generated by the self-conformal iterated function system (IFS) was introdu...
AbstractIn this paper we obtain non-trivial bounds for the Lq-spectra of self-similar measures witho...
AbstractThere are strong reasons to believe that the multifractal spectrum of DLA shows anomalies wh...
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...
By constructing an infinite graph-directed iterated function system associated with a finite iterate...
Abstract. We conduct the multifractal analysis of self-affine measures for “al-most all ” family of ...
We study the dimension theory of a class of planar self-affine multifractal measures. These measures...
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...
We study the dimension theory of a class of planar self-affine multifractal measures. These mea-sure...
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...
We prove that non-uniform self-similar measures have a multifractal spectrum in a parameter domain w...
The vector-valued measure generated by the self-conformal iterated function system (IFS) was introdu...
AbstractIn this paper we obtain non-trivial bounds for the Lq-spectra of self-similar measures witho...
AbstractThere are strong reasons to believe that the multifractal spectrum of DLA shows anomalies wh...
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...
By constructing an infinite graph-directed iterated function system associated with a finite iterate...
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