Add to ORKGThe vector-valued measure generated by the self-conformal iterated function system (IFS) was introduced by the author (2004 J. Math. Anal. Appl. 299 341–56). Its variation is scalar measure. This paper proves that theLq-spectrum of the variation measure is differentiable and the corresponding multifractal formalism holds, if the relevant IFS satisfies the open set condition. This result can be applied to the study of self-conformal (scalar) measures generated by certain IFS with overlaps. Mathematics Subject Classification: 28A78, 28A80 1
Abstract. We consider a generalisation of the self-affine iterated func-tion systems of Lalley and G...
We study the invariant set and invariant measures defined by a finite iterated function systems of c...
Abstract. The multifractal decomposition of Gibbs measures for conformal iterated function system is...
AbstractThe self-similar vector-valued measure is a vector analogue of the self-similar measure. In ...
By constructing an infinite graph-directed iterated function system associated with a finite iterate...
We prove that for a class of self-affine measures defined by an expanding matrix whose eigenvalues h...
AbstractA self-conformal measure is a measure invariant under a set of conformal mappings. In this p...
We prove that non-uniform self-similar measures have a multifractal spectrum in a parameter domain w...
We study the dimension theory of a class of planar self-affine multifractal measures. These mea-sure...
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 measures...
Self-similar measures form a fundamental class of fractal measures, and is much less understood if t...
The multifractal decomposition of Gibbs measures for a conformal iterated function system is well kn...
AbstractWe define the notion of quasi self-similar measures and show that for such measures their ge...
In the first chapter; we consider the invariant measure mu generated by an integral self-affine IFS....
Abstract. We consider a generalisation of the self-affine iterated func-tion systems of Lalley and G...
We study the invariant set and invariant measures defined by a finite iterated function systems of c...
Abstract. The multifractal decomposition of Gibbs measures for conformal iterated function system is...
AbstractThe self-similar vector-valued measure is a vector analogue of the self-similar measure. In ...
By constructing an infinite graph-directed iterated function system associated with a finite iterate...
We prove that for a class of self-affine measures defined by an expanding matrix whose eigenvalues h...
AbstractA self-conformal measure is a measure invariant under a set of conformal mappings. In this p...
We prove that non-uniform self-similar measures have a multifractal spectrum in a parameter domain w...
We study the dimension theory of a class of planar self-affine multifractal measures. These mea-sure...
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 measures...
Self-similar measures form a fundamental class of fractal measures, and is much less understood if t...
The multifractal decomposition of Gibbs measures for a conformal iterated function system is well kn...
AbstractWe define the notion of quasi self-similar measures and show that for such measures their ge...
In the first chapter; we consider the invariant measure mu generated by an integral self-affine IFS....
Abstract. We consider a generalisation of the self-affine iterated func-tion systems of Lalley and G...
We study the invariant set and invariant measures defined by a finite iterated function systems of c...
Abstract. The multifractal decomposition of Gibbs measures for conformal iterated function system is...