Category: Stochastic models

Si l'on suivait les voies ferroviaires, qui aurait le pied marin ?

Geometry of wireless systems

A few years ago, browsing the notices of the AMS, I found an article by R. Ghrist and V. de Silva about topological algebra used for detecting coverage problem. Barely stated, the difficulty is as follows: Consider a set of sensors, each of which detecting intrusion in a region around itself; how can we be…
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August 27, 2013 0

Edgeworth series with error bounds

Edgeworth series refine the central limit theorem. Playing with Stein method and Malliavin calculus, we can retrieve Edgeworth series and precise the error bounds. The infinite dimension version is under preparation.

June 14, 2012 0

Diffusion of a virus along a random graph

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 evolution of the epidemic is summed up into three measure-valued equations that describe the degrees of the susceptible individuals and the number of edges from an…
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March 23, 2011 0