Obiettivo 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. Campo scientifico natural sciencesmathematicspure mathematicsgeometrynatural sciencesmathematicsapplied mathematicsstatistics and probability Parole chiave Convex Geometry Functional Analysis High-Dimensional Phenomena Programma(i) FP7-PEOPLE - Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Argomento(i) PEOPLE-2007-4-3.IRG - Marie Curie Action: "International Reintegration Grants" Invito a presentare proposte FP7-PEOPLE-IRG-2008 Vedi altri progetti per questo bando Meccanismo di finanziamento MC-IRG - International Re-integration Grants (IRG) Coordinatore TEL AVIV UNIVERSITY Contributo UE € 100 000,00 Indirizzo RAMAT AVIV 69978 Tel Aviv Israele Mostra sulla mappa Tipo di attività Higher or Secondary Education Establishments Contatto amministrativo Lea Pais (Ms.) Collegamenti Contatta l’organizzazione Opens in new window Sito web Opens in new window Costo totale Nessun dato
