Asymptotic Geometric Analysis
The authors present the theory of asymptotic geometric analysis, a field which lies on the border between geometry and functional analysis. In this field, isometric problems that are typical for geometry in low dimensions are substituted by an "isomorphic" point of view, and an asymptotic approach (as dimension tends to infinity) is introduced. Geometry and analysis meet here in a non-trivial way. Basic examples of geometric inequalities in isomorphic form which are encountered in the book are …
Read More ↓Title Statements
- Full title :Asymptotic Geometric Analysis. / Shiri Artstein-Avidan, Apostolos Giannopoulos, Vitali D. Milman.
Summary
The authors present the theory of asymptotic geometric analysis, a field which lies on the border between geometry and functional analysis. In this field, isometric problems that are typical for geometry in low dimensions are substituted by an "isomorphic" point of view, and an asymptotic approach (as dimension tends to infinity) is introduced. Geometry and analysis meet here in a non-trivial way. Basic examples of geometric inequalities in isomorphic form which are encountered in the book are the "isomorphic isoperimetric inequalities" which led to the discovery of the "concentration phenomen.
Read More ↓Edition Statements
- Publication Date:©2015
Publication Statements
- Publisher(s):American mathematical Society
- Place of Publication:Providence, RI
- Language:eng
- Publication Date:©2015
The Physical Object
- Description:1 online resource (xix, 451 pages) : : illustrations
Edition Identifiers
- ISBN:9781470423452, 1470423456
- oclc:ocn962305279
- LC Classification:QA360
- Dewey Decimal:515.1
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Asymptotic Geometric Analysis, Part I -- (.pdf)
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