CORDIS Project
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This project investigates high-dimensional probability distributions, particularly focusing on uniform measures within convex bodies. It aims to develop a comprehensive theory and new methods for understanding these distributions, which have applications in various fields of mathematics.
The proposed project lies at the cross-roads of Convex Geometry,Probability Theory and the local theory of Banach spaces.
We willstudy large classes probability distributions of geometric origin onspaces of a very high dimension, tending to infinity. A particular,important case is the uniform measure on an arbitraryhigh-dimensional convex body.
Even though the latter class ofprobability distributions is quite diverse, we observe that somenon-trivial principles persist.
For instance, any uniform…
TEL AVIV UNIVERSITY
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