Isoperimetric Inequalities in Unbounded Convex Bodies
Author: Gian Paolo Leonardi
Publisher: American Mathematical Society
Published: 2022-04-08
Total Pages: 86
ISBN-13: 1470451182
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Author: Gian Paolo Leonardi
Publisher: American Mathematical Society
Published: 2022-04-08
Total Pages: 86
ISBN-13: 1470451182
DOWNLOAD EBOOK →View the abstract.
Author: Manuel Ritoré
Publisher: Springer Nature
Published: 2023-10-06
Total Pages: 470
ISBN-13: 3031379012
DOWNLOAD EBOOK →This work gives a coherent introduction to isoperimetric inequalities in Riemannian manifolds, featuring many of the results obtained during the last 25 years and discussing different techniques in the area. Written in a clear and appealing style, the book includes sufficient introductory material, making it also accessible to graduate students. It will be of interest to researchers working on geometric inequalities either from a geometric or analytic point of view, but also to those interested in applying the described techniques to their field.
Author: Silouanos Brazitikos
Publisher: American Mathematical Soc.
Published: 2014-04-24
Total Pages: 618
ISBN-13: 1470414562
DOWNLOAD EBOOK →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.
Author: Serguei Germanovich Bobkov
Publisher: American Mathematical Soc.
Published: 2005
Total Pages: 88
ISBN-13: 082183858X
DOWNLOAD EBOOK →In these memoirs Bobkov and Zegarlinski describe interesting developments in infinite dimensional analysis that moved it away from experimental science. Here they also describe Poincar -type inequalities, entropy and Orlicz spaces, LSq and Hardy-type inequalities on the line, probability measures satisfying LSq inequalities on the real line, expo
Author: Chris Kottke
Publisher: American Mathematical Society
Published: 2022-11-10
Total Pages: 124
ISBN-13: 1470455412
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Author: Jenny Fuselier
Publisher: American Mathematical Society
Published: 2022-11-10
Total Pages: 138
ISBN-13: 1470454335
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Author: Michael Hitrik
Publisher: American Mathematical Society
Published: 2022-11-10
Total Pages: 102
ISBN-13: 1470454211
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Author: Lucia Di Vizio
Publisher: American Mathematical Society
Published: 2022-08-31
Total Pages: 88
ISBN-13: 1470453843
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Author: Mark Gross
Publisher: American Mathematical Society
Published: 2022-07-18
Total Pages: 122
ISBN-13: 1470452979
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Author: Jan Kohlhaase
Publisher: American Mathematical Society
Published: 2022-08-31
Total Pages: 82
ISBN-13: 1470453762
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