86 citations · 383 across the 61 of their papers we have counts for
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On noise limited cellular networks
Laurent Decreusefond, Philippe Martins, Thanh-Tung Vu
This paper introduces a general theoretical framework to analyze noise limited networks. More precisely, we consider two homogenous Poisson point processes of base stations and use…
An analytical model for evaluating outage and handover probability of cellular wireless networks
Laurent Decreusefond, Philippe Martins, Than-Tung Vu
We consider stochastic cellular networks where base stations locations form a homogenous Poisson point process and each mobile is attached to the base station that provides the bes…
On the One dimensional Poisson Random Geometric Graph
Laurent Decreusefond, Eduardo Ferraz
Given a Poisson process on a bounded interval, its random geometric graph is the graph whose vertices are the points of the Poisson process and edges exist between two points if an…
Time reversal of Volterra processes driven stochastic differential equation
Laurent Decreusefond
We consider stochastic differential equations driven by some Volterra processes. Under time reversal, these equations are transformed into past dependent stochastic differential eq…
Large graph limit for an SIR process in random network with heterogeneous connectivity
Laurent Decreusefond, Jean-Stéphane Dhersin, Pascal Moyal +1
We consider an SIR epidemic model propagating on a configuration model network, where the degree distribution of the vertices is given and where the edges are randomly matched. The…