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Content archived on 2024-06-18

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.

Fields of science (EuroSciVoc)

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Keywords

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Topic(s)

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Call for proposal

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

Funding Scheme

Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.

MC-IRG - International Re-integration Grants (IRG)

Coordinator

TEL AVIV UNIVERSITY
EU contribution
€ 100 000,00
Total cost

The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.

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