AbstractFractals and measures are often defined in a constructive way. In this paper, we give the construction of random measures concentrated on random Markov-self-similar fractals and prove that under quite weak conditions random Markov-self-similar measures exist and satisfy certain self-similarity property
AbstractWe construct a complete metric space (Y,dY) of random measure-valued image functions. This f...
The fractal dimensions of various types of intersection sets of random fractals are discussed. This ...
Let S-i : R-d -> R-d for i = 1,...,N be contracting similarities. Also, let (P-1, - - -, P-N, P) ...
New metrics are introduced in the space of random measures and are applied, with various modificatio...
Self-similar random fractal measures were studied by Hutchinson and Rüschen-dorf. Working with proba...
Abstract. This is a mathematical but non-technical survey on random fractals and random processes on...
The purpose of this dissertation is to introduce a natural and unifying multifractal formalism which...
Abstract. The purpose of this note is to calculate the almost sure Hausdorff dimension of uniformly ...
We study the geometric properties of random multiplicative cascade measures defined on self-similar ...
Start with a compact set K ⊂ ℝd . This has a random number of daughter sets, each of which is a (rot...
AbstractWe have given several necessary and sufficient conditions for statistically self-similar set...
yesBSUWe consider the random point fields with Markovian refinements we previously introduced. For t...
AbstractWe define the notion of quasi self-similar measures and show that for such measures their ge...
We construct a complete metric space (Y,dY) of random measure-valued image functions. This formalism...
It is shown that stretched exponential form of probability density of the random fractal systems is...
AbstractWe construct a complete metric space (Y,dY) of random measure-valued image functions. This f...
The fractal dimensions of various types of intersection sets of random fractals are discussed. This ...
Let S-i : R-d -> R-d for i = 1,...,N be contracting similarities. Also, let (P-1, - - -, P-N, P) ...
New metrics are introduced in the space of random measures and are applied, with various modificatio...
Self-similar random fractal measures were studied by Hutchinson and Rüschen-dorf. Working with proba...
Abstract. This is a mathematical but non-technical survey on random fractals and random processes on...
The purpose of this dissertation is to introduce a natural and unifying multifractal formalism which...
Abstract. The purpose of this note is to calculate the almost sure Hausdorff dimension of uniformly ...
We study the geometric properties of random multiplicative cascade measures defined on self-similar ...
Start with a compact set K ⊂ ℝd . This has a random number of daughter sets, each of which is a (rot...
AbstractWe have given several necessary and sufficient conditions for statistically self-similar set...
yesBSUWe consider the random point fields with Markovian refinements we previously introduced. For t...
AbstractWe define the notion of quasi self-similar measures and show that for such measures their ge...
We construct a complete metric space (Y,dY) of random measure-valued image functions. This formalism...
It is shown that stretched exponential form of probability density of the random fractal systems is...
AbstractWe construct a complete metric space (Y,dY) of random measure-valued image functions. This f...
The fractal dimensions of various types of intersection sets of random fractals are discussed. This ...
Let S-i : R-d -> R-d for i = 1,...,N be contracting similarities. Also, let (P-1, - - -, P-N, P) ...
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