Processus spatio-temporels en géométrie stochastique et application à la modélisation de réseaux de télécommunication

Abstract : This thesis consists in joining two approaches that currently exist when one wants to study crowds phenomena: either taking a snapshot by freezing time to study the spatial repartition of the individuals, or following one given individual over time.We build space-time processes that let us model random phenomena in a crowd, being on a spatial level (roads models) or a time level (movings on these roads, space-dependent behaviors…). Once we have built them in a rigorous manner, we study their properties, which let us obtain analytical closed formulas that can be widely used for dimensioning purposes.
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Frédéric Morlot. Processus spatio-temporels en géométrie stochastique et application à la modélisation de réseaux de télécommunication. Mathématiques générales [math.GM]. Télécom ParisTech, 2012. Français. ⟨NNT : 2012ENST0026⟩. ⟨pastel-00931407⟩

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