We study self-affine multifractals in R-d using the formalism introduced in [Olsen, A multifractal formalism, Advances in Mathematics, 116 (1996), 82-196]. We prove that new multifractal phenomena, not exhibited by self-similar multifractals in R-d, appear in the self-affine case.</p
AbstractTo characterize the geometry of a measure, its generalized dimensions dq have been introduce...
One of the most basic ingredients of fractal or multifractal is its scale-invariance or self-similar...
We introduce the mathematical concept of multifractality and describe various multifractal spectra f...
We study self-affine multifractals in R-d using the formalism introduced in [Olsen, A multifractal f...
In this paper we study the multifractal structure of a certain class of self-affine measures known a...
In this paper we study the Hausdorff and packing dimensions and the Renyi dimensions of random self-...
I will first introduce the Hausdorff and packing multifractal spectrum functions, fH,µ and fP,µ. I w...
Abstract In this paper we prove that the conjectures of Frisch and Parisi in [9] and Arneodo et al i...
Abstract. We conduct the multifractal analysis of self-affine measures for “al-most all ” family of ...
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 non-uniform self-similar measures have a multifractal spectrum in a parameter domain w...
We introduce the mathematical concept of multifractality and describe various multifractal spectra f...
Two of the main objects of study in multifractal analysis of measures are the coarse multifractal sp...
We study the dimension theory of a class of planar self-affine multifractal measures. These mea-sure...
AbstractTo characterize the geometry of a measure, its generalized dimensions dq have been introduce...
One of the most basic ingredients of fractal or multifractal is its scale-invariance or self-similar...
We introduce the mathematical concept of multifractality and describe various multifractal spectra f...
We study self-affine multifractals in R-d using the formalism introduced in [Olsen, A multifractal f...
In this paper we study the multifractal structure of a certain class of self-affine measures known a...
In this paper we study the Hausdorff and packing dimensions and the Renyi dimensions of random self-...
I will first introduce the Hausdorff and packing multifractal spectrum functions, fH,µ and fP,µ. I w...
Abstract In this paper we prove that the conjectures of Frisch and Parisi in [9] and Arneodo et al i...
Abstract. We conduct the multifractal analysis of self-affine measures for “al-most all ” family of ...
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 non-uniform self-similar measures have a multifractal spectrum in a parameter domain w...
We introduce the mathematical concept of multifractality and describe various multifractal spectra f...
Two of the main objects of study in multifractal analysis of measures are the coarse multifractal sp...
We study the dimension theory of a class of planar self-affine multifractal measures. These mea-sure...
AbstractTo characterize the geometry of a measure, its generalized dimensions dq have been introduce...
One of the most basic ingredients of fractal or multifractal is its scale-invariance or self-similar...
We introduce the mathematical concept of multifractality and describe various multifractal spectra f...
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