Cel 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. Dziedzina nauki natural sciencesmathematicspure mathematicsgeometrynatural sciencesmathematicsapplied mathematicsstatistics and probability Słowa kluczowe Convex Geometry Functional Analysis High-Dimensional Phenomena Program(-y) FP7-PEOPLE - Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Temat(-y) PEOPLE-2007-4-3.IRG - Marie Curie Action: "International Reintegration Grants" Zaproszenie do składania wniosków FP7-PEOPLE-IRG-2008 Zobacz inne projekty w ramach tego zaproszenia System finansowania MC-IRG - International Re-integration Grants (IRG) Koordynator TEL AVIV UNIVERSITY Wkład UE € 100 000,00 Adres RAMAT AVIV 69978 Tel Aviv Izrael Zobacz na mapie Rodzaj działalności Higher or Secondary Education Establishments Kontakt administracyjny Lea Pais (Ms.) Linki Kontakt z organizacją Opens in new window Strona internetowa Opens in new window Koszt całkowity Brak danych
