23 datasets found

Let $F$ be a functional of a Poisson process whose distribution is determined by the intensity measure $\mu$. Considering the expectation $\E$ as a function on the...

Recently in the paper \cite{MolZuy:96} there was established the following Gamma-type result. Given the number $N$ of a homogeneous Poisson process' points defining a...

We define a family of random trees in the plane. Their nodes of level $k, k=0\thru m$ are the points of a homogeneous Poisson point process $\Pi_k$, whereas their arcs...

We consider a certain class of vectorial evolution equations, which are linear in the (max,+) semi-field. They can be used to model several types of discrete event...

We describe a new technique for simulations of large communication networks. This technique is based on a new approach for communication networks modeling by means of...

We consider generalization of the Voronoi diagram - power diagram, constructed with respect to a Poisson processes with i.i.d. marks (weights). We give first moment of...

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26 pages, 3 figures

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The subject of this thesis is the study of some adaptive nonparametric statistical problems in the framework of a Poisson interactions model. Such models are used, for...

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Energy demand aggregators are new actors in the energy scenario: they gather a group of energy consumers and implement a demand-response paradigm. When the energy...

When dealing with classical spike train analysis, the practitioner often performs goodness-of-fit tests to test whether the observed process is a Poisson process, for...

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The contributions of this thesis concern two topics. The first part is dedicated to the study of mean-field models for the electronic structure of materials with...

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18 pages

International audience