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2001, Memoirs of the American Mathematical Society, ISBN 9780821827345, Volume no. 731., viii, 80
Book
2015, Lecture Notes in Mathematics, ISBN 3319132628, Volume 2131
Focusing on two central conjectures from the field of Asymptotic Geometric Analysis, the Kannan-Lovász-Simonovits spectral gap conjecture and the variance... 
Discrete groups | Mathematics | Functional analysis | Distribution (Probability theory)
Web Resource
2015, Lecture Notes in Mathematics, ISBN 3319132628, Volume 2131
Focusing on two central conjectures from the field of Asymptotic Geometric Analysis, the Kannan-Lovász-Simonovits spectral gap conjecture and the variance... 
Discrete groups | Mathematics | Functional analysis | Distribution (Probability theory)
Web Resource
2015, Lecture Notes in Mathematics, ISBN 3319132628, Volume 2131
Focusing on two central conjectures from the field of Asymptotic Geometric Analysis, the Kannan-Lovász-Simonovits spectral gap conjecture and the variance... 
Discrete groups | Mathematics | Functional analysis | Distribution (Probability theory)
Web Resource
1986, Lecture Notes in Mathematics, ISBN 9783662183762, Volume 1221, XII, 226
eBook
2013, ISBN 1461464056, Volume 68, 20
Reference
Revista Matematica Iberoamericana, ISSN 0213-2230, 2018, Volume 34, Issue 2, pp. 879 - 904
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 2010, Volume 258, Issue 5, pp. 1452 - 1465
The isotropy constant of any -dimensional polytope with vertices is bounded by where is a numerical constant. 
Polytopes | Isotropy constant | Projections | MATHEMATICS | CONVEX-BODIES | MIXED VOLUMES
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 06/2007, Volume 135, Issue 6, pp. 1851 - 1859
In this paper some upper bounds for the volume and diameter of central sections of symmetric convex bodies are obtained in terms of the isotropy constant of... 
Unit ball | Isotropy | Mathematical constants | Symmetrical bodies | Centroids | Functional analysis | Mathematical inequalities | Ova | Asymptotic geometric analysis | Diameter of sections | MATHEMATICS | asymptotic geometric analysis | diameter of sections | MATHEMATICS, APPLIED | PROPORTIONAL SECTIONS | BODY
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2007, Volume 328, Issue 1, pp. 550 - 566
We investigate the optimization of the dual mixed volumes where is a convex body, the Euclidean ball and runs over all positions of . When is linear we give... 
Dual mixed volumes | Parallel sections | Optimization | MATHEMATICS | MATHEMATICS, APPLIED | dual mixed volumes | CONVEX-BODIES | EXTREMAL PROBLEMS | optimization | parallel sections | ELLIPSOIDS
Journal Article
by é and ú
Proceedings of the American Mathematical Society, ISSN 0002-9939, 10/2012, Volume 140, Issue 10, pp. 3557 - 3566
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2010, Volume 361, Issue 2, pp. 431 - 439
We study two properties of random high dimensional sections of convex bodies. In the first part of the paper we estimate the central section function for... 
Isotropic convex bodies | M-position | Section function | MATHEMATICS | MATHEMATICS, APPLIED | LOCAL THEORY | AVERAGES | LINEAR FUNCTIONALS | NORMED SPACES | INEQUALITY | MARGINALS
Journal Article
Journal Article
Indiana University Mathematics Journal, ISSN 0022-2518, 1/2003, Volume 52, Issue 5, pp. 1215 - 1230
We prove a sharp version of the Sobolev embedding theorem using L(∞, n) spaces and we compare our result with embeddings due to Hansson, Brézis-Wainger and... 
Interpolation | Embeddings | Mathematical theorems | Acknowledgments | Applied mathematics | Mathematical inequalities | Mathematical functions | Sobolev spaces | College mathematics | BMO | Lorentz spaces | MATHEMATICS | REARRANGEMENTS | IMBEDDING THEOREMS
Journal Article
Studia Mathematica, ISSN 0039-3223, 2009, Volume 190, Issue 1, pp. 1 - 31
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2004, Volume 293, Issue 2, pp. 564 - 577
We prove a trigonometric integral inequality involving isotropic measures in the plane which can be applied to characterize the solution of extremal problems... 
MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
01/2015, 2015, Lecture Notes in Mathematics, ISBN 3319132628, Volume 2131, 159
eBook
Positivity, ISSN 1385-1292, 3/2002, Volume 6, Issue 1, pp. 1 - 16
We prove an extension of the classical John's Theorem, that characterises the ellipsoid of maximal volume position inside a convex body by the existence of... 
Operator Theory | decomposition of the identity | Fourier Analysis | Potential Theory | volume ratio | Calculus of Variations and Optimal Control | Mathematics | Econometrics | convex body | Optimization | ellipsoid | Convex body | Volume ratio | Ellipsoid | Decomposition of the identity | MATHEMATICS | VOLUME | Studies | Mathematical models | Decomposition | Algorithms
Journal Article
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