Objectif The proposed project lies at the cross-roads of Convex Geometry,Probability Theory and the local theory of Banach spaces. We willstudy large classes probability distributions of geometric origin onspaces of a very high dimension, tending to infinity. A particular,important case is the uniform measure on an arbitraryhigh-dimensional convex body. Even though the latter class ofprobability distributions is quite diverse, we observe that somenon-trivial principles persist. For instance, any uniform measure ona high-dimensional convex set necessarily has some approximatelygaussian marginals. The recent years have seen progress in theanalysis of such high-dimensional measures. The proposed projectintends to deepen and extend these first signs of understanding, tocontribute towards a comprehensive theory of convexity-relatedmeasures, and to develop new methods for the study ofhigh-dimensional distributions in general. Champ scientifique natural sciencesmathematicspure mathematicsgeometrynatural sciencesmathematicsapplied mathematicsstatistics and probability Mots‑clés Convex Geometry Functional Analysis High-Dimensional Phenomena Programme(s) FP7-PEOPLE - Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Thème(s) PEOPLE-2007-4-3.IRG - Marie Curie Action: "International Reintegration Grants" Appel à propositions FP7-PEOPLE-IRG-2008 Voir d’autres projets de cet appel Régime de financement MC-IRG - International Re-integration Grants (IRG) Coordinateur TEL AVIV UNIVERSITY Contribution de l’UE € 100 000,00 Adresse RAMAT AVIV 69978 Tel Aviv Israël Voir sur la carte Type d’activité Higher or Secondary Education Establishments Contact administratif Lea Pais (Ms.) Liens Contacter l’organisation Opens in new window Site web Opens in new window Coût total Aucune donnée
