Thibaut Le Gouic – Mass localization 17 février 20142 février 2014 adminFrumam Carte non disponible Date/heure Date(s) - 17/02/201415 h 00 min - 16 h 00 min Catégories Pas de Catégories For a given class F of closed sets of a measured metric space (E, d, ?), we want to find the smallest element B of the class F such that ?(B) ? 1 ? ?, for a given 0 http://www.math.univ-toulouse.fr/ tlegouic/ Thibaut Le Gouic[
Thibaut Le Gouic – Mass localization 17 février 20142 février 2014 adminFrumam Carte non disponible Date/heure Date(s) - 17/02/201415 h 00 min - 16 h 00 min Catégories Pas de Catégories For a given class F of closed sets of a measured metric space (E, d, ?), we want to find the smallest element B of the class F such that ?(B) ? 1 ? ?, for a given 0 < ? < 1. This set B localizes the mass of ?. Replacing the measure ? by the empirical measure ?n gives an empirical smallest set Bn . This talk introduces a formal definition of small sets (and their size) and study convergence of the set Bn to B in Hausdorff metric and their size http://www.math.univ-toulouse.fr/ tlegouic/ Thibaut Le Gouic[
