GPHDPD

Geometric Phenomena in High-Dimensional Probability Distributions

Coordinatore	TEL AVIV UNIVERSITY    more  Organization address address: RAMAT AVIV city: TEL AVIV postcode: 69978 contact info Titolo: Ms. Nome: Lea Cognome: Pais Email: send email Telefono: -6407805 Fax: -6408728
Nazionalità Coordinatore	Israel [IL]
Totale costo	100˙000 €
EC contributo	100˙000 €
Programma	FP7-PEOPLE Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
Code Call	FP7-PEOPLE-IRG-2008
Funding Scheme	MC-IRG
Anno di inizio	2009
Periodo (anno-mese-giorno)	2009-04-01   -   2013-03-31

 Partecipanti

#	participant	country	role	EC contrib. [€]
1	TEL AVIV UNIVERSITY  Organization address address: RAMAT AVIV city: TEL AVIV postcode: 69978 contact info Titolo: Ms. Nome: Lea Cognome: Pais Email: send email Telefono: -6407805 Fax: -6408728	IL (TEL AVIV)	coordinator	100˙000.00

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 Obiettivo del progetto (Objective)

'The proposed project lies at the cross-roads of Convex Geometry, Probability Theory and the local theory of Banach spaces. We will study large classes probability distributions of geometric origin on spaces of a very high dimension, tending to infinity. A particular, important case is the uniform measure on an arbitrary high-dimensional convex body. Even though the latter class of probability distributions is quite diverse, we observe that some non-trivial principles persist. For instance, any uniform measure on a high-dimensional convex set necessarily has some approximately gaussian marginals. The recent years have seen progress in the analysis of such high-dimensional measures. The proposed project intends to deepen and extend these first signs of understanding, to contribute towards a comprehensive theory of convexity-related measures, and to develop new methods for the study of high-dimensional distributions in general.'