| eBook ISBN: | 978-0-8218-8224-5 |
| Product Code: | CONM/545.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| eBook ISBN: | 978-0-8218-8224-5 |
| Product Code: | CONM/545.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
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Book DetailsContemporary MathematicsVolume: 545; 2011; 211 ppMSC: Primary 26; 32; 46; 53; 60
The volume contains the proceedings of the international workshop on Concentration, Functional Inequalities and Isoperimetry, held at Florida Atlantic University in Boca Raton, Florida, from October 29–November 1, 2009.
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, to name but a few fields, with recent new applications in random matrices and information theory.
This book should appeal to graduate students and researchers interested in the fascinating interplay between analysis, probability, and geometry.
ReadershipGraduate students and research mathematicians interested in the interplay between analysis, probability, and geometry.
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Table of Contents
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Articles
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Shigeki Aida — COH formula and Dirichlet Laplacians on small domains of pinned path spaces
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N. Badr and G. Dafni — Maximal characterization of Hardy-Sobolev spaces on manifolds
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Sergey G. Bobkov — On Milman’s ellipsoids and $M$-position of convex bodies
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Sergey Bobkov, Mokshay Madiman and Liyao Wang — Fractional generalizations of Young and Brunn-Minkowski inequalities
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Ronen Eldan and Bo’az Klartag — Approximately Gaussian marginals and the hyperplane conjecture
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Ohad N. Feldheim and Sasha Sodin — One more proof of the Erdős-Turán inequality, and an error estimate in Wigner’s law
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A. Figalli — Quantitative isoperimetric inequalities with applications to the stability of liquid drops and crystals
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Rupert L. Frank and Elliott H. Lieb — Spherical reflection positivity and the Hardy–Littlewood–Sobolev inequality
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A. Giannopoulos, G. Paouris and P. Valettas — On the existence of subgaussian directions for log-concave measures
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Alexander V. Kolesnikov and Roman I. Zhdanov — On isoperimetric sets of radially symmetric measures
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Michel Ledoux — From concentration to isoperimetry: Semigroup proofs
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Joaquim Martín and Mario Milman — Sobolev inequalities, rearrangements, isoperimetry and interpolation spaces
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Emanuel Milman — Isoperimetric bounds on convex manifolds
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Frank Morgan — The log-convex density conjecture
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
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The volume contains the proceedings of the international workshop on Concentration, Functional Inequalities and Isoperimetry, held at Florida Atlantic University in Boca Raton, Florida, from October 29–November 1, 2009.
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, to name but a few fields, with recent new applications in random matrices and information theory.
This book should appeal to graduate students and researchers interested in the fascinating interplay between analysis, probability, and geometry.
Graduate students and research mathematicians interested in the interplay between analysis, probability, and geometry.
-
Articles
-
Shigeki Aida — COH formula and Dirichlet Laplacians on small domains of pinned path spaces
-
N. Badr and G. Dafni — Maximal characterization of Hardy-Sobolev spaces on manifolds
-
Sergey G. Bobkov — On Milman’s ellipsoids and $M$-position of convex bodies
-
Sergey Bobkov, Mokshay Madiman and Liyao Wang — Fractional generalizations of Young and Brunn-Minkowski inequalities
-
Ronen Eldan and Bo’az Klartag — Approximately Gaussian marginals and the hyperplane conjecture
-
Ohad N. Feldheim and Sasha Sodin — One more proof of the Erdős-Turán inequality, and an error estimate in Wigner’s law
-
A. Figalli — Quantitative isoperimetric inequalities with applications to the stability of liquid drops and crystals
-
Rupert L. Frank and Elliott H. Lieb — Spherical reflection positivity and the Hardy–Littlewood–Sobolev inequality
-
A. Giannopoulos, G. Paouris and P. Valettas — On the existence of subgaussian directions for log-concave measures
-
Alexander V. Kolesnikov and Roman I. Zhdanov — On isoperimetric sets of radially symmetric measures
-
Michel Ledoux — From concentration to isoperimetry: Semigroup proofs
-
Joaquim Martín and Mario Milman — Sobolev inequalities, rearrangements, isoperimetry and interpolation spaces
-
Emanuel Milman — Isoperimetric bounds on convex manifolds
-
Frank Morgan — The log-convex density conjecture
