Isoperimetric Inequalities PDF Download
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Author | : Isaac Chavel |
Publisher | : Cambridge University Press |
Total Pages | : 292 |
Release | : 2001-07-23 |
Genre | : Mathematics |
ISBN | : 9780521802673 |
Download Isoperimetric Inequalities Book in PDF, ePub and Kindle
This advanced introduction emphasizes the variety of ideas, techniques, and applications of the subject.
Author | : Manuel Ritoré |
Publisher | : Springer Science & Business Media |
Total Pages | : 113 |
Release | : 2010-01-01 |
Genre | : Mathematics |
ISBN | : 3034602138 |
Download Mean Curvature Flow and Isoperimetric Inequalities Book in PDF, ePub and Kindle
Geometric flows have many applications in physics and geometry. The mean curvature flow occurs in the description of the interface evolution in certain physical models. This is related to the property that such a flow is the gradient flow of the area functional and therefore appears naturally in problems where a surface energy is minimized. The mean curvature flow also has many geometric applications, in analogy with the Ricci flow of metrics on abstract riemannian manifolds. One can use this flow as a tool to obtain classification results for surfaces satisfying certain curvature conditions, as well as to construct minimal surfaces. Geometric flows, obtained from solutions of geometric parabolic equations, can be considered as an alternative tool to prove isoperimetric inequalities. On the other hand, isoperimetric inequalities can help in treating several aspects of convergence of these flows. Isoperimetric inequalities have many applications in other fields of geometry, like hyperbolic manifolds.
Author | : G. Polya |
Publisher | : Princeton University Press |
Total Pages | : 279 |
Release | : 2016-03-02 |
Genre | : Mathematics |
ISBN | : 1400882664 |
Download Isoperimetric Inequalities in Mathematical Physics. (AM-27), Volume 27 Book in PDF, ePub and Kindle
The description for this book, Isoperimetric Inequalities in Mathematical Physics. (AM-27), Volume 27, will be forthcoming.
Author | : Manuel Ritoré |
Publisher | : Springer Nature |
Total Pages | : 470 |
Release | : 2023-10-06 |
Genre | : Mathematics |
ISBN | : 3031379012 |
Download Isoperimetric Inequalities in Riemannian Manifolds Book in PDF, ePub and Kindle
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 | : Catherine Bandle |
Publisher | : Pitman Publishing |
Total Pages | : 248 |
Release | : 1980 |
Genre | : Mathematics |
ISBN | : |
Download Isoperimetric Inequalities and Applications Book in PDF, ePub and Kindle
Author | : Christian Houdré |
Publisher | : American Mathematical Soc. |
Total Pages | : 226 |
Release | : 2011 |
Genre | : Mathematics |
ISBN | : 0821849719 |
Download Concentration, Functional Inequalities and Isoperimetry Book in PDF, ePub and Kindle
The interactions between concentration, isoperimetry and functional inequalities have led to many significant advances in functional analysis and probability theory. Important progress has also taken place in combinatorics, geometry, harmonic analysis and mathematical physics, with recent new applications in random matrices and information theory. This will appeal to graduate students and researchers interested in the interplay between analysis, probability, and geometry.
Author | : Gian Paolo Leonardi |
Publisher | : American Mathematical Society |
Total Pages | : 86 |
Release | : 2022-04-08 |
Genre | : Mathematics |
ISBN | : 1470451182 |
Download Isoperimetric Inequalities in Unbounded Convex Bodies Book in PDF, ePub and Kindle
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Author | : Martin R. Bridson |
Publisher | : American Mathematical Soc. |
Total Pages | : 170 |
Release | : 2010-01-15 |
Genre | : Mathematics |
ISBN | : 0821846310 |
Download The Quadratic Isoperimetric Inequality for Mapping Tori of Free Group Automorphisms Book in PDF, ePub and Kindle
The authors prove that if $F$ is a finitely generated free group and $\phi$ is an automorphism of $F$ then $F\rtimes_\phi\mathbb Z$ satisfies a quadratic isoperimetric inequality. The authors' proof of this theorem rests on a direct study of the geometry of van Kampen diagrams over the natural presentations of free-by-cylic groups. The main focus of this study is on the dynamics of the time flow of $t$-corridors, where $t$ is the generator of the $\mathbb Z$ factor in $F\rtimes_\phi\mathbb Z$ and a $t$-corridor is a chain of 2-cells extending across a van Kampen diagram with adjacent 2-cells abutting along an edge labelled $t$. The authors prove that the length of $t$-corridors in any least-area diagram is bounded by a constant times the perimeter of the diagram, where the constant depends only on $\phi$. The authors' proof that such a constant exists involves a detailed analysis of the ways in which the length of a word $w\in F$ can grow and shrink as one replaces $w$ by a sequence of words $w_m$, where $w_m$ is obtained from $\phi(w_{m-1})$ by various cancellation processes. In order to make this analysis feasible, the authors develop a refinement of the improved relative train track technology due to Bestvina, Feighn and Handel.
Author | : Iurii D. Burago |
Publisher | : Springer |
Total Pages | : 118 |
Release | : 1970 |
Genre | : Juvenile Nonfiction |
ISBN | : |
Download Isoperimetric Inequalities in the Theory of Surfaces of Bounded External Curvature Book in PDF, ePub and Kindle
Author | : Serguei Germanovich Bobkov |
Publisher | : American Mathematical Soc. |
Total Pages | : 88 |
Release | : 2005 |
Genre | : Computers |
ISBN | : 082183858X |
Download Entropy Bounds and Isoperimetry Book in PDF, ePub and Kindle
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