GPHDPD
Geometric Phenomena in High-Dimensional Probability Distributions
| Coordinatore | TEL AVIV UNIVERSITY
Organization address
address: RAMAT AVIV contact info |
| 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
| # | ||||
|---|---|---|---|---|
| 1 |
TEL AVIV UNIVERSITY
Organization address
address: RAMAT AVIV contact info |
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.'