In this article, we shall study the properties of randomly scaled scale-decorated Poisson point processes and obtain a characterization based on its Laplace functional. In the way of deriving the characterization, we shall show that the clusters are independently and identically distributed. A connection with randomly shifted decorated Poisson point process is also obtained
We investigate random graphs on the points of a Poisson process in d-dimensional space, which combin...
In this paper, we propose a new comparison tool for spatial homogeneity of point processes, based on...
Our interest is in the scaled joint distribution associated with $k$-increasing subsequence...
In this article, we shall study the properties of randomly scaled scale-decorated Poisson point proc...
We show that a Poisson cluster point process is a nearest-neighbour Markov point process [2] if the ...
Spatial random graphs capture several important properties of real-world networks. We prove quenched...
Spatial random graphs capture several important properties of real-world networks. We prove quenched...
44 pages, 4 figuresInternational audienceIn this chapter we review some examples, methods, and recen...
Generally, practitioner in data analysis have recognized Poisson process as a tool for the temporal ...
Poisson cluster processes are special point processes that find use in modeling Internet traffic, ne...
AbstractLet ηt be a Poisson point process of intensity t≥1 on some state space Y and let f be a non-...
Random Geometric graphs have traditionally been considered on the nodes of a Poisson process, but re...
We consider the convex hull of the perturbed point process comprised of $n$ i.i.d. points, each dist...
International audienceWe show that simple, stationary point processes of a given intensity on $\mR^d...
International audienceThis book is centered on the mathematical analysis of random structures embedd...
We investigate random graphs on the points of a Poisson process in d-dimensional space, which combin...
In this paper, we propose a new comparison tool for spatial homogeneity of point processes, based on...
Our interest is in the scaled joint distribution associated with $k$-increasing subsequence...
In this article, we shall study the properties of randomly scaled scale-decorated Poisson point proc...
We show that a Poisson cluster point process is a nearest-neighbour Markov point process [2] if the ...
Spatial random graphs capture several important properties of real-world networks. We prove quenched...
Spatial random graphs capture several important properties of real-world networks. We prove quenched...
44 pages, 4 figuresInternational audienceIn this chapter we review some examples, methods, and recen...
Generally, practitioner in data analysis have recognized Poisson process as a tool for the temporal ...
Poisson cluster processes are special point processes that find use in modeling Internet traffic, ne...
AbstractLet ηt be a Poisson point process of intensity t≥1 on some state space Y and let f be a non-...
Random Geometric graphs have traditionally been considered on the nodes of a Poisson process, but re...
We consider the convex hull of the perturbed point process comprised of $n$ i.i.d. points, each dist...
International audienceWe show that simple, stationary point processes of a given intensity on $\mR^d...
International audienceThis book is centered on the mathematical analysis of random structures embedd...
We investigate random graphs on the points of a Poisson process in d-dimensional space, which combin...
In this paper, we propose a new comparison tool for spatial homogeneity of point processes, based on...
Our interest is in the scaled joint distribution associated with $k$-increasing subsequence...