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
International audienceStatistically self-similar measures on [0, 1] are limit of multiplicative casc...
We study the geometric properties of random multiplicative cascade measures defined on self-similar ...
We define a class of random measures, spatially independent martingales, which we view as a natural ...
AbstractWe have given several necessary and sufficient conditions for statistically self-similar set...
AbstractFractals and measures are often defined in a constructive way. In this paper, we give the co...
International audienceThe main purpose of this work is to study self-similar branching Markov chains...
Abstract. For a class of self-similar measures defined by iterated function system on the line with ...
AbstractLet Φn be an i.i.d. sequence of Lipschitz mappings of Rd. We study the Markov chain {Xnx}n=0...
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...
AbstractWe study asymptotical properties of some particular sequences U = (un)n≥1 of real numbers 0≤...
AbstractIn this paper, we study the quantization dimension of a random self-similar measure μ suppor...
International audienceWe study a family of memory-based persistent random walks and we prove weak co...
Abstract: This note surveys some recent results on self-similar Markov processes. Since the research...
PARIS-BIUSJ-Thèses (751052125) / SudocPARIS-BIUSJ-Physique recherche (751052113) / SudocPARIS-BIUSJ-...
International audienceStatistically self-similar measures on [0, 1] are limit of multiplicative casc...
We study the geometric properties of random multiplicative cascade measures defined on self-similar ...
We define a class of random measures, spatially independent martingales, which we view as a natural ...
AbstractWe have given several necessary and sufficient conditions for statistically self-similar set...
AbstractFractals and measures are often defined in a constructive way. In this paper, we give the co...
International audienceThe main purpose of this work is to study self-similar branching Markov chains...
Abstract. For a class of self-similar measures defined by iterated function system on the line with ...
AbstractLet Φn be an i.i.d. sequence of Lipschitz mappings of Rd. We study the Markov chain {Xnx}n=0...
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...
AbstractWe study asymptotical properties of some particular sequences U = (un)n≥1 of real numbers 0≤...
AbstractIn this paper, we study the quantization dimension of a random self-similar measure μ suppor...
International audienceWe study a family of memory-based persistent random walks and we prove weak co...
Abstract: This note surveys some recent results on self-similar Markov processes. Since the research...
PARIS-BIUSJ-Thèses (751052125) / SudocPARIS-BIUSJ-Physique recherche (751052113) / SudocPARIS-BIUSJ-...
International audienceStatistically self-similar measures on [0, 1] are limit of multiplicative casc...
We study the geometric properties of random multiplicative cascade measures defined on self-similar ...
We define a class of random measures, spatially independent martingales, which we view as a natural ...
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