Geometry of Isotropic Convex Bodies is popular PDF and ePub book, written by Silouanos Brazitikos in 2014-04-24, 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, Geometry of Isotropic Convex Bodies can be Read Online from any device for your convenience.
Geometry of Isotropic Convex Bodies Book PDF Summary
The study of high-dimensional convex bodies from a geometric and analytic point of view, with an emphasis on the dependence of various parameters on the dimension stands at the intersection of classical convex geometry and the local theory of Banach spaces. It is also closely linked to many other fields, such as probability theory, partial differential equations, Riemannian geometry, harmonic analysis and combinatorics. It is now understood that the convexity assumption forces most of the volume of a high-dimensional convex body to be concentrated in some canonical way and the main question is whether, under some natural normalization, the answer to many fundamental questions should be independent of the dimension. The aim of this book is to introduce a number of well-known questions regarding the distribution of volume in high-dimensional convex bodies, which are exactly of this nature: among them are the slicing problem, the thin shell conjecture and the Kannan-Lovász-Simonovits conjecture. This book provides a self-contained and up to date account of the progress that has been made in the last fifteen years.
Detail Book of Geometry of Isotropic Convex Bodies PDF
- Author : Silouanos Brazitikos
- Release : 24 April 2014
- Publisher : American Mathematical Soc.
- ISBN : 9781470414566
- Genre : Mathematics
- Total Page : 618 pages
- Language : English
- PDF File Size : 15,6 Mb
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