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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Edgeworth series refine the central limit theorem. Playing with Stein method and Malliavin calculus, we can retrieve Edgeworth series and precise the error bounds. http://hal.archives-ouvertes.fr/hal-00685272 The infinite dimension version is under preparation.
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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