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Author: Paouris, Grigoris × End date: 2023 × search.filters.applied.f.isOrgUnitOfPublicationTitle: College of Sciences × search.filters.applied.f.isOrgUnitOfPublicationTitle: School of Mathematics × search.filters.applied.f.isSeriesOfPublicationTitle: Workshop in Convexity and Geometric Aspects of Harmonic Analysis ×

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Concentration and Convexity - Part 1

2019-12-10 , Paouris, Grigoris

The Concentration of measure phenomenon is a fundamental tool of high dimensional probability and of Asymptotic Geometric Analysis. Independence or Isoperimetry are two typical reasons for the appearance of this phenomenon. In these talks I will introduce the phenomenon and I will show how High dimensional Geometry affects the concentration. In particular I will explain how "convexity" can be used to establish strong concentration inequalities in the Gauss space and how the "convexity" of the underline measure is responsible for deviation principles.

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Concentration and Convexity - Part 2

2019-12 , Paouris, Grigoris

The Concentration of measure phenomenon is a fundamental tool of high dimensional probability and of Asymptotic Geometric Analysis. Independence or Isoperimetry are two typical reasons for the appearance of this phenomenon. In these talks I will introduce the phenomenon and I will show how High dimensional Geometry affects the concentration. In particular I will explain how "convexity" can be used to establish strong concentration inequalities in the Gauss space and how the "convexity" of the underline measure is responsible for deviation principles.

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