We consider a random sphere covering model made of random balls with interacting random radii of the product form R(r,ω) = rG(ω), based on a Poisson random measure ω(dy,dr) on Rd × R+. We provide sufficient conditions under which the corresponding random ball counting processes are well-defined, and we study the fractional behavior of the associated random fields. The main results rely on moment formulas for Poisson stochastic integrals with random integrands.Accepted versio
We consider random flights in Rd reflecting on the surface of a sphere Sd−1 R , with center at the...
This article presents a class of models in stochastic geometry that are constructed by random measur...
Using the geodesic distance on the n-dimensional sphere, we study the expected radius function of th...
We consider a random sphere covering model made of random balls with interacting random ra...
21 pagesIn this work, we propose a random balls model on $\mathbb{C}$ generated by a determinantal p...
28 pagesIn this article, we consider a configuration of weighted random balls in $\mathbb{R}^d$ gene...
This paper considers random balls in a D-dimensional Euclidean space whose centers are prescribed by...
International audienceWe consider Poisson random balls, with the pair (center, radius) being given b...
We study limiting random systems that arise by aggregation of spherical grains which are uniformly s...
Dans cette thèse, on étudie le comportement asymptotique de modèles de boules aléatoires engendrées ...
International audienceThis book is centered on the mathematical analysis of random structures embedd...
In this thesis, we study the asymptotic behavior of random balls models generated by different point...
We study a variant of Gilbert\u27s disc model, in which discs are positioned at the points of a Pois...
Abstract. The fractional Poisson field (fPf) can be interpreted in term of the number of balls falli...
We consider a spherical germ-grain model on ℝ in which the centers of the spheres are driven by a p...
We consider random flights in Rd reflecting on the surface of a sphere Sd−1 R , with center at the...
This article presents a class of models in stochastic geometry that are constructed by random measur...
Using the geodesic distance on the n-dimensional sphere, we study the expected radius function of th...
We consider a random sphere covering model made of random balls with interacting random ra...
21 pagesIn this work, we propose a random balls model on $\mathbb{C}$ generated by a determinantal p...
28 pagesIn this article, we consider a configuration of weighted random balls in $\mathbb{R}^d$ gene...
This paper considers random balls in a D-dimensional Euclidean space whose centers are prescribed by...
International audienceWe consider Poisson random balls, with the pair (center, radius) being given b...
We study limiting random systems that arise by aggregation of spherical grains which are uniformly s...
Dans cette thèse, on étudie le comportement asymptotique de modèles de boules aléatoires engendrées ...
International audienceThis book is centered on the mathematical analysis of random structures embedd...
In this thesis, we study the asymptotic behavior of random balls models generated by different point...
We study a variant of Gilbert\u27s disc model, in which discs are positioned at the points of a Pois...
Abstract. The fractional Poisson field (fPf) can be interpreted in term of the number of balls falli...
We consider a spherical germ-grain model on ℝ in which the centers of the spheres are driven by a p...
We consider random flights in Rd reflecting on the surface of a sphere Sd−1 R , with center at the...
This article presents a class of models in stochastic geometry that are constructed by random measur...
Using the geodesic distance on the n-dimensional sphere, we study the expected radius function of th...
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