Add to ORKGWe study families of possibly overlapping self-affine sets. Our main example is a family that can be considered the self-affine version of Bernoulli convolutions and was studied, in the non-overlapping case, by F. Przytycki and M. Urba´nski [23]. We extend their results to the overlapping region and also consider some extensions and generalizations
Abstract. In this paper we compute the multifractal analysis for local dimensions of Bernoulli measu...
AbstractWe define the notion of quasi self-similar measures and show that for such measures their ge...
M. Das proved that the relative multifractal measures are mutually singular for the self-similar mea...
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 prove that for a class of self-affine measures defined by an expanding matrix whose eigenvalues h...
Abstract. We conduct the multifractal analysis of self-affine measures for “al-most all ” family of ...
We prove that non-uniform self-similar measures have a multifractal spectrum in a parameter domain w...
AbstractThe self-similar vector-valued measure is a vector analogue of the self-similar measure. In ...
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...
AbstractWe define a new separation property on the family of contractive similitudes that allows cer...
We study the dimension theory of a class of planar self-affine multifractal measures. These mea-sure...
Let S-i : R-d --> R-d for i = 1,..., n be contracting similarities, and let (P-1, P-n) be a proba...
Abstract. In this paper we compute the multifractal analysis for local dimensions of Bernoulli measu...
AbstractWe define the notion of quasi self-similar measures and show that for such measures their ge...
M. Das proved that the relative multifractal measures are mutually singular for the self-similar mea...
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 prove that for a class of self-affine measures defined by an expanding matrix whose eigenvalues h...
Abstract. We conduct the multifractal analysis of self-affine measures for “al-most all ” family of ...
We prove that non-uniform self-similar measures have a multifractal spectrum in a parameter domain w...
AbstractThe self-similar vector-valued measure is a vector analogue of the self-similar measure. In ...
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...
AbstractWe define a new separation property on the family of contractive similitudes that allows cer...
We study the dimension theory of a class of planar self-affine multifractal measures. These mea-sure...
Let S-i : R-d --> R-d for i = 1,..., n be contracting similarities, and let (P-1, P-n) be a proba...
Abstract. In this paper we compute the multifractal analysis for local dimensions of Bernoulli measu...
AbstractWe define the notion of quasi self-similar measures and show that for such measures their ge...
M. Das proved that the relative multifractal measures are mutually singular for the self-similar mea...