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Simplicial Homology of Random Configurations
Laurent Decreusefond, Eduardo Ferraz, Hugues Randriam +1
Given a Poisson process on a -dimensional torus, its random geometric simplicial complex is the complex whose vertices are the points of the Poisson process and simplices are gi…
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…
Upper bound of loss probability in an OFDMA system with randomly located users
Laurent Decreusefond, Eduardo Ferraz, Philippe Martins
For OFDMA systems, we find a rough but easily computed upper bound for the probability of loosing communications by insufficient number of sub-channels on downlink. We consider as…