Books Science Nature Geometry Of Isotropic Convex Bodies (Mathematical Surveys And Monographs)

Geometry Of Isotropic Convex Bodies (Mathematical Surveys And Monographs).pdf

Rating: 5/5 1942 | Register or sign-in to rate and get recommendations

Read online or download a free book: Geometry Of Isotropic Convex Bodies (Mathematical Surveys And Monographs)

Pages: 603

Language: English

Publisher: American Mathematical Society (30 May 2014)

By: Silouanos Brazitikos (Author)

Book format: pdf doc docx mobi djvu epub ibooks (*An electronic version of a printed book that can be read on a computer or handheld device designed specifically for this purpose.)

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 normalisation, 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-Lovasz-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.


Read online or download a free book: Geometry Of Isotropic Convex Bodies (Mathematical Surveys And Monographs).pdf

Download book - Geometry of Isotropic Convex Bodies (Mathematical Surveys and Monographs) by Silouanos Brazitikos, Apostolos Giannopoulos, Petros Valettas, Beatrice-Helen Vritsiou : Language - English.pdf

*Report a Broken Link

Customer reviews:

Name:
The message text:

Related Files

  • The rates of the custome house bothe inwarde and outwarde the dyfference of measures and weyghts and other co[m]modities very necessarye for all ... correctyd and imprynted. An. M.D.XLV. (1545)
  • Over Hear: Six Types of Poetry Experiment in Aotearoa/New Zealand