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

Ziel

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.

Wissenschaftliches Gebiet

Schlüsselbegriffe

Koordinator

TEL AVIV UNIVERSITY

EU-Beitrag

€ 100 000,00

Adresse

RAMAT AVIV
69978 Tel Aviv
Israel

Aktivitätstyp

Higher or Secondary Education Establishments

Kontakt Verwaltung

Lea Pais (Ms.)

Links

Die Organisation kontaktieren Website

Gesamtkosten

Keine Daten

Ziel

Wissenschaftliches Gebiet

Schlüsselbegriffe

Programm/Programme

Thema/Themen

Aufforderung zur Vorschlagseinreichung

Finanzierungsplan

Koordinator

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