Asymptotic Geometric Analysis Part II is popular PDF and ePub book, written by Shiri Artstein-Avidan in 2021-12-13, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Asymptotic Geometric Analysis Part II can be Read Online from any device for your convenience.
Asymptotic Geometric Analysis Part II Book PDF Summary
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.
Detail Book of Asymptotic Geometric Analysis Part II PDF
- Author : Shiri Artstein-Avidan
- Release : 13 December 2021
- Publisher : American Mathematical Society
- ISBN : 9781470463601
- Genre : Mathematics
- Total Page : 645 pages
- Language : English
- PDF File Size : 18,8 Mb
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