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Asymptotic Geometric Analysis, Part II (Mathematical Surveys and Monographs) - Softcover

Shiri Artstein-Avidan (author); Apostolos Giannopoulos (author) & Vitali D. Milman (author)

 
9781470463601: Asymptotic Geometric Analysis, Part II (Mathematical Surveys and Monographs)
Softcover
ISBN 10: 1470463601 ISBN 13: 9781470463601
Publisher: American Mathematical Society, 2022

Synopsis

This book is a continuation of Asymptotic Geometric Analysis, Part I, which was published as volume 202 in this series.

Asymptotic geometric analysis studies properties of geometric objects, such as normed spaces, convex bodies, or convex functions, when the dimensions of these objects increase to infinity. The asymptotic approach reveals many very novel phenomena which influence other fields in mathematics, especially where a large data set is of main concern, or a number of parameters which becomes uncontrollably large. One of the important features of this new theory is in developing tools which allow studying high parametric families.

Among the topics covered in the book are measure concentration, isoperimetric constants of log-concave measures, thin-shell estimates, stochastic localization, the geometry of Gaussian measures, volume inequalities for convex bodies, local theory of Banach spaces, type and cotype, the Banach-Mazur compactum, symmetrizations, restricted invertibility, and functional versions of geometric notions and inequalities.

"synopsis" may belong to another edition of this title.

About the Author

Shiri Artstein-Avidan, Tel Aviv University, Israel.

Apostolos Giannopoulos, University of Athens, Greece.

Vitali D. Milman, Tel Aviv University, Israel.

"About this title" may belong to another edition of this title.

Publisher
American Mathematical Society
Publication date
2022
Language
English
ISBN 10 
1470463601
ISBN 13 
9781470463601
Binding
Paperback
Number of pages
686