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Geometric Phenomena in High-Dimensional Probability<br/>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.

Call for proposal

FP7-PEOPLE-IRG-2008
See other projects for this call

Coordinator

TEL AVIV UNIVERSITY
EU contribution
€ 100 000,00
Address
RAMAT AVIV
69978 Tel Aviv
Israel

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Activity type
Higher or Secondary Education Establishments
Administrative Contact
Lea Pais (Ms.)
Links
Total cost
No data