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Concentration, Functional Inequalities and Isoperimetry
About this Title
Christian Houdré, Georgia Institute of Technology, Atlanta, GA, Michel Ledoux, Université de Toulouse, France, Emanuel Milman, Technion-Israel Institute of Technology, Haifa, Israel and Mario Milman, Florida Atlantic University, Boca Raton, FL, Editors
Publication: Contemporary Mathematics
Publication Year:
2011; Volume 545
ISBNs: 978-0-8218-4971-2 (print); 978-0-8218-8224-5 (online)
DOI: https://doi.org/10.1090/conm/545
Table of Contents
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Front/Back Matter
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