| Titre : | Introduction to geometric probability | | Type de document : | document projeté ou vidéo | | Auteurs : | Gian-Carlo ROTA, Auteur | | Editeur : | Providence, R. I. [Etats Unis] : American Mathematical Society | | Année de publication : | Cop. 1997 | | Collection : | Selected lectures in mathematics | | Présentation : | 1 cassette vidéo (VHS) (1 h) : (PAL), sonore | | ISBN/ISSN/EAN : | 978-0-8218-1351-5 | | Langues : | Anglais | | Mots-clés : | mesure invariante volume intrinsèque caractéristique d'Euler | | Résumé : | This lecture examines the notion of invariant measure from a fresh viewpoint. The most familiar examples of invariant measures are area and volume, which are invariant under the group of rigid motions. Master expositor Gian-Carlo Rota shows how, starting with a few simple axioms, one can concoct new invariant measures and explore their properties. One set of such measures, known as the intrinsic volumes, are quite new and still somewhat mysterious. However, they have intriguing probabilistic interpretations and in fact can be shown to form a basis for the space of all continuous invariant measures. Rota also discusses the remarkable connection between the intrinsic volumes and the Euler characteristic. Reaching deep ideas while remaining at an elementary level, this lecture would be accessible to undergraduate mathematics majors. |
Introduction to geometric probability [document projeté ou vidéo] / Gian-Carlo ROTA, Auteur . - Providence, R. I. (Etats Unis) : American Mathematical Society, Cop. 1997 . - : 1 cassette vidéo (VHS) (1 h) : (PAL), sonore. - ( Selected lectures in mathematics) . ISBN : 978-0-8218-1351-5 Langues : Anglais | Mots-clés : | mesure invariante volume intrinsèque caractéristique d'Euler | | Résumé : | This lecture examines the notion of invariant measure from a fresh viewpoint. The most familiar examples of invariant measures are area and volume, which are invariant under the group of rigid motions. Master expositor Gian-Carlo Rota shows how, starting with a few simple axioms, one can concoct new invariant measures and explore their properties. One set of such measures, known as the intrinsic volumes, are quite new and still somewhat mysterious. However, they have intriguing probabilistic interpretations and in fact can be shown to form a basis for the space of all continuous invariant measures. Rota also discusses the remarkable connection between the intrinsic volumes and the Euler characteristic. Reaching deep ideas while remaining at an elementary level, this lecture would be accessible to undergraduate mathematics majors. |
|  |
Affiner la recherche Générer le flux rss de la recherche
Partager le résultat de cette recherche Interroger des sources externesIntroduction to geometric probability / Gian-Carlo ROTA (Cop. 1997)
Calcul combinatoire ensembliste / Bodo LASS (2001)
