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Geometric Phenomena in High-Dimensional Probability
Distributions

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.

Field of science

  • /natural sciences/mathematics/applied mathematics/statistics and probability
  • /natural sciences/mathematics/pure mathematics/geometry
  • /humanities/languages and literature/linguistics/phonetics

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
Address
Ramat Aviv
69978 Tel Aviv
Israel
Activity type
Higher or Secondary Education Establishments
EU contribution
€ 100 000
Administrative Contact
Lea Pais (Ms.)