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
AbstractA self-conformal measure is a measure invariant under a set of conformal mappings. In this p...
Let S-i: R-d --> R-d for i = 1, n be contracting similarities, and let (p(1),...... p(n)) be a pr...
The vector-valued measure generated by the self-conformal iterated function system (IFS) was introdu...
AbstractThe self-similar vector-valued measure is a vector analogue of the self-similar measure. In ...
AbstractFor any self-similar measure μ on Rd satisfying the weak separation condition, we show that ...
In this paper we study the absolute continuity of self-similar measures defined by iterated function...
In this paper we study the absolute continuity of self-similar measures defined by iterated function...
In this paper we study the absolute continuity of self-similar measures defined by iterated function...
The thesis consists of four main chapters. The first chapter includes an introduction to inhomogeneo...
In this paper, we investigate the Hausdorff dimension of the invariant measures of the iterated func...
AbstractWe define the notion of quasi self-similar measures and show that for such measures their ge...
AbstractWe define the notion of quasi self-similar measures and show that for such measures their ge...
AbstractBy now the Lq-spectra of self-similar measures satisfying the so-called Open Set Condition i...
A contractive similarity is a function which preserves the geometry of a object but shrinks it down ...
Abstract. For any self-similar measure µ on Rd satisfying the weak separation condition, we show tha...
AbstractA self-conformal measure is a measure invariant under a set of conformal mappings. In this p...
Let S-i: R-d --> R-d for i = 1, n be contracting similarities, and let (p(1),...... p(n)) be a pr...
The vector-valued measure generated by the self-conformal iterated function system (IFS) was introdu...
AbstractThe self-similar vector-valued measure is a vector analogue of the self-similar measure. In ...
AbstractFor any self-similar measure μ on Rd satisfying the weak separation condition, we show that ...
In this paper we study the absolute continuity of self-similar measures defined by iterated function...
In this paper we study the absolute continuity of self-similar measures defined by iterated function...
In this paper we study the absolute continuity of self-similar measures defined by iterated function...
The thesis consists of four main chapters. The first chapter includes an introduction to inhomogeneo...
In this paper, we investigate the Hausdorff dimension of the invariant measures of the iterated func...
AbstractWe define the notion of quasi self-similar measures and show that for such measures their ge...
AbstractWe define the notion of quasi self-similar measures and show that for such measures their ge...
AbstractBy now the Lq-spectra of self-similar measures satisfying the so-called Open Set Condition i...
A contractive similarity is a function which preserves the geometry of a object but shrinks it down ...
Abstract. For any self-similar measure µ on Rd satisfying the weak separation condition, we show tha...
AbstractA self-conformal measure is a measure invariant under a set of conformal mappings. In this p...
Let S-i: R-d --> R-d for i = 1, n be contracting similarities, and let (p(1),...... p(n)) be a pr...
The vector-valued measure generated by the self-conformal iterated function system (IFS) was introdu...
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