Objective 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. Fields of science natural sciencesmathematicspure mathematicsgeometrynatural sciencesmathematicsapplied mathematicsstatistics and probability Keywords 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) Topic(s) PEOPLE-2007-4-3.IRG - Marie Curie Action: "International Reintegration Grants" Call for proposal FP7-PEOPLE-IRG-2008 See other projects for this call Funding Scheme MC-IRG - International Re-integration Grants (IRG) Coordinator TEL AVIV UNIVERSITY EU contribution € 100 000,00 Address RAMAT AVIV 69978 Tel Aviv Israel See on map Activity type Higher or Secondary Education Establishments Administrative Contact Lea Pais (Ms.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data