GPHDPD (238877)

  https://cordis.europa.eu/project/id/238877

  FP7 (2007-2013)

  Geometric Phenomena in High-Dimensional Probability Distributions

  Marie Curie Action: "International Reintegration Grants" (PEOPLE-2007-4-3.IRG)

  geometry  ·  statistics and probability

  2009-04-01 Start Date (YY-MM-DD)

  2013-03-31 End Date (YY-MM-DD)

  € 100,000 Total Cost

  Description

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.

  Complicit Organisations

1 Israeli organisation participates in GPHDPD.