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7 papers · 2 filters
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 scale behavior of wavelet coefficients of non-linear subordinated processes with long memory
Marianne Clausel, François Roueff, Murad S. Taqqu +1
We study the asymptotic behavior of wavelet coefficients of random processes with long memory. These processes may be stationary or not and are obtained as the output of non--linea…
On bilinear forms based on the resolvent of large random matrices
Walid Hachem, Philippe Loubaton, Jamal Najim +1
Consider a matrix with random independent entries, each non-centered with a separable variance profile. In this article, we study the limiting behavior of the random bilinear…