Objetivo 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. Ámbito científico natural sciencesmathematicspure mathematicsgeometrynatural sciencesmathematicsapplied mathematicsstatistics and probability Palabras clave Convex Geometry Functional Analysis High-Dimensional Phenomena Programa(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) Tema(s) PEOPLE-2007-4-3.IRG - Marie Curie Action: "International Reintegration Grants" Convocatoria de propuestas FP7-PEOPLE-IRG-2008 Consulte otros proyectos de esta convocatoria Régimen de financiación MC-IRG - International Re-integration Grants (IRG) Coordinador TEL AVIV UNIVERSITY Aportación de la UE € 100 000,00 Dirección RAMAT AVIV 69978 Tel Aviv Israel Ver en el mapa Tipo de actividad Higher or Secondary Education Establishments Contacto administrativo Lea Pais (Ms.) Enlaces Contactar con la organización Opens in new window Sitio web Opens in new window Coste total Sin datos
