Lois de Zipf et sources markoviennes
Espérances et majorations pour un processus de branchement spatial markovien
Probabilités de présence dans un processus de branchement spatial markovien
Grandes déviations, dynamique de populations et phénomènes malthusiens
Estimation non paramétrique de l'espérance et de la variance de la loi de reproduction d'un processus de ramification
On the reduction of a random basis
For , let be independent random vectors in with the same distribution invariant by rotation and without mass at the origin. Almost surely these vectors form a basis for the Euclidean lattice they generate. The topic of this paper is the property of reduction of this random basis in the sense of Lenstra-Lenstra-Lovász (LLL). If is the basis obtained from by Gram-Schmidt orthogonalization, the quality of the reduction depends upon the sequence of ratios of squared lengths of consecutive vectors...
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