Milman, Vitali D. 1939
Most widely held works by
Vitali D Milman
Geometrical aspects of functional analysis : Israel seminar, 198586 by Vitali D Milman (
Book
)
243
editions published
between
1987
and
2012
in
3
languages
and held by
3,058
libraries
worldwide
This collection of original papers related to the Israeli GAFA seminar (on Geometric Aspects of Functional Analysis) during the years 20042005 follows the long tradition of the previous volumes that reflect the general trends of the Theory and are a source of inspiration for research. Most of the papers deal with different aspects of the Asymptotic Geometric Analysis, ranging from classical topics in the geometry of convex bodies, to inequalities involving volumes of such bodies or, more generally, logconcave measures, to the study of sections or projections of convex bodies. In many of the papers Probability Theory plays an important role; in some limit laws for measures associated with convex bodies, resembling Central Limit Theorems, are derive and in others probabilistic tools are used extensively. There are also papers on related subjects, including a survey on the behavior of the largest eigenvalue of random matrices and some topics in Number Theory
Asymptotic theory of finite dimensional normed spaces by Vitali D Milman (
Book
)
30
editions published
between
1986
and
2001
in
3
languages
and held by
414
libraries
worldwide
This book deals with the geometrical structure of finite dimensional normed spaces, as the dimension grows to infinity. This is a part of what came to be known as the Local Theory of Banach Spaces (this name was derived from the fact that in its first stages, this theory dealt mainly with relating the structure of infinite dimensional Banach spaces to the structure of their lattice of finite dimensional subspaces). Our purpose in this book is to introduce the reader to some of the results, problems, and mainly methods developed in the Local Theory, in the last few years. This by no means is a complete survey of this wide area. Some of the main topics we do not discuss here are mentioned in the Notes and Remarks section. Several books appeared recently or are going to appear shortly, which cover much of the material not covered in this book. Among these are Pisier's [Pis6] where factorization theorems related to Grothendieck's theorem are extensively discussed, and TomczakJaegermann's [TJl] where operator ideals and distances between finite dimensional normed spaces are studied in detail. Another related book is Pietch's [Pie]
Functional analysis : an introduction by Yuli Eidelman (
Book
)
13
editions published
in
2004
in
English and Dutch
and held by
331
libraries
worldwide
"The goal of this textbook is to provide an introduction to the methods and language of functional analysis, including Hilbert spaces, Fredholm theory for compact operators, and spectral theory of selfadjoint operators. It also presents the basic theorems and methods of abstract functional analysis and a few applications of these methods to Banach algebras and the theory of unbounded selfadjoint operators."Jacket
Convex geometric analysis
(
Book
)
11
editions published
between
1999
and
2010
in
English
and held by
251
libraries
worldwide
Asymptotic geometric analysis by Shiri ArtsteinAvidan (
Book
)
8
editions published
in
2015
in
English and Undetermined
and held by
173
libraries
worldwide
Asymptotic Geometric Analysis by Shiri ArtsteinAvidan (
Book
)
8
editions published
in
2015
in
English and Undetermined
and held by
28
libraries
worldwide
The authors present the theory of asymptotic geometric analysis, a field which lies on the border between geometry and functional analysis. In this field, isometric problems that are typical for geometry in low dimensions are substituted by an "isomorphic" point of view, and an asymptotic approach (as dimension tends to infinity) is introduced. Geometry and analysis meet here in a nontrivial way. Basic examples of geometric inequalities in isomorphic form which are encountered in the book are the "isomorphic isoperimetric inequalities" which led to the discovery of the "concentration phenomenon", one of the most powerful tools of the theory, responsible for many counterintuitive results. A central theme in this book is the interaction of randomness and pattern. At first glance, life in high dimension seems to mean the existence of multiple "possibilities", so one may expect an increase in the diversity and complexity as dimension increases. However, the concentration of measure and effects caused by convexity show that this diversity is compensated and order and patterns are created for arbitrary convex bodies in the mixture caused by high dimensionality. The book is intended for graduate students and researchers who want to learn about this exciting subject. Among the topics covered in the book are convexity, concentration phenomena, covering numbers, Dvoretzkytype theorems, volume distribution in convex bodies, and more
Asymptotic geometric analysis : proceedings of the Fall 2010 Fields Institute Thematic Program by Monika Ludwig (
Book
)
5
editions published
in
2013
in
English
and held by
8
libraries
worldwide
Preface  The Variance Conjecture on Some Polytopes (D. Alonso Gutirrez, J. Bastero)  More Universal Minimal Flows of Groups of Automorphisms of Uncountable Structures (D. Bartosova)  On the Lyapounov Exponents of Schrodinger Operators Associated with the Standard Map (J. Bourgain)  Overgroups of the Automorphism Group of the Rado Graph (P. Cameron, C. Laflamme, M. Pouzet, S. Tarzi, R. Woodrow)  On a Stability Property of the Generalized Spherical Radon Transform (D. Faifman)  Banach Representations and Affine Compactification of Dynamical Systems (E. Glasner, M. Megrelishvili)  Flag Measures for Convex Bodies (D. Hug, I. Turk, W. Weil)  Operator Functional Equations in Analysis (H. Konig, V. Milmann)  A Remark on the External NonCentral Sections of the Unit Cube (J. Moody, C. Stone, D. Zach, A. Zvavitch)  Universal Flows of Closed Subgroups of S∞ and Relative Extreme Amenability (L. Nguyen Van The)  Oscillation of Urysohn Type Spaces (N.W. Sauer)  Euclidean Sec
Complex geometric analysis
(
Book
)
1
edition published
in
1999
in
English
and held by
4
libraries
worldwide
Geometries in interaction : GAFA special issue in honor of Mikhail Gromov by Y Eliashberg (
Book
)
4
editions published
in
1995
in
English
and held by
3
libraries
worldwide
Reprint from GAFA, Vol. 5 (1995), No. 2. Enlarged by a short biography of Mikhail Gromov and a list of publications. In the last decades of the XX century tremendous progress has been achieved in geometry. The discovery of deep interrelations between geometry and other fields including algebra, analysis and topology has pushed it into the mainstream of modern mathematics. This Special Issue of Geometric And Functional Analysis (GAFA) in honour of Mikhail Gromov contains 14 papers which give a wide panorama of recent fundamental developments in modern geometry and its related subjects. CONTRIBUTORS: J. Bourgain, J. Cheeger, J. Cogdell, A. Connes, Y. Eliashberg, H. Hofer, F. Lalonde, W. Luo, G. Margulis, D. McDuff, H. Moscovici, G. Mostow, S. Novikov, G. Perelman, I. PiatetskiShapiro, G. Pisier, X. Rong, Z. Rudnick, D. Salamon, P. Sarnak, R. Schoen, M. Shubin, K. Wysocki, and E. Zehnder. The book is a collection of important results and an enduring source of new ideas for researchers and students in a broad spectrum of directions related to all aspects of Geometry and its applications to Functional Analysis, PDE, Analytic Number Theory and Physics
The Local theory of normed spaces and its applications to convexity by Joram Lindenstrauss (
Article
)
1
edition published
in
1993
in
English
and held by
2
libraries
worldwide
Dvoretzky's theorem  30 years later by Vitali D Milman (
Book
)
2
editions published
in
1992
in
English
and held by
2
libraries
worldwide
Asymptotic geometric analysis by Shiri ArtsteinAvidan (
Book
)
1
edition published
in
2015
in
English
and held by
2
libraries
worldwide
Local theory of normed and quasinormed spaces by Alexander Litvak (
Archival Material
)
1
edition published
in
1997
in
English
and held by
2
libraries
worldwide
Regularization of star bodies by random hyperplane cut off by Vitali D Milman (
file
)
1
edition published
in
2003
in
English
and held by
1
library
worldwide
Visions in Mathematics by Noga Alon (
Book
)
1
edition published
in
2010
in
English
and held by
1
library
worldwide
Visions in Mathematics  Towards 2000' was one of the most remarkable mathematical meetings in recent years. It was held in Tel Aviv from August 25th to September 3rd, 1999, and united some of the leading mathematicians worldwide. The goals of the conference were to discuss the importance, the methods, the past and the future of mathematics as we enter the 21st century and to consider the connection between mathematics and related areas. The aims of the conference are reflected in the present set of survey articles, documenting the state of art and future prospects in many branches of mathemat
Convex geometry
(
Book
)
1
edition published
in
2000
in
English
and held by
1
library
worldwide
Visions in Mathematics Towards 2000 : GAFA 2000 Special Volume, Part IIpp. 455983 by Noga Alon (
file
)
1
edition published
in
2010
in
English
and held by
0
libraries
worldwide
Annotation
Visions in Mathematics Towards 2000 : GAFA 2000 Special Volume, Part Ipp. 1453
(
file
)
1
edition published
in
2010
in
English
and held by
0
libraries
worldwide
Annotation
Noncommutative motives by Gonçalo Tabuada (
file
)
1
edition published
in
2015
in
English
and held by
0
libraries
worldwide
The theory of motives began in the early 1960s when Grothendieck envisioned the existence of a "universal cohomology theory of algebraic varieties". The theory of noncommutative motives is more recent. It began in the 1980s when the Moscow school (Beilinson, Bondal, Kapranov, Manin, and others) began the study of algebraic varieties via their derived categories of coherent sheaves, and continued in the 2000s when Kontsevich conjectured the existence of a "universal invariant of noncommutative algebraic varieties". This book, prefaced by Yuri I. Manin, gives a rigorous overview of some of the main advances in the theory of noncommutative motives. It is divided into three main parts. The first part, which is of independent interest, is devoted to the study of DG categories from a homotopical viewpoint. The second part, written with an emphasis on examples and applications, covers the theory of noncommutative pure motives, noncommutative standard conjectures, noncommutative motivic Galois groups, and also the relations between these notions and their commutative counterparts. The last part is devoted to the theory of noncommutative mixed motives. The rigorous formalization of this latter theory requires the language of Grothendieck derivators, which, for the reader's convenience, is revised in a brief appendix
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Alternative Names
Milman, V. Milman,, V. D. Milman, V.D. 1939 Milman, V. D. (Vitali D.), 1939 Milman, Vitali. Milman, Vitali 1939 Milman, Vitali D. Milman, Vitali Davidovich 1939 Milman, Witali Dawidowitsch 1939 Vitali Milman israelischer Mathematiker Vitali Milman matemático ruso Vitali Milman mathématicien russe Vitali Milman Russian mathematician Мильман, Виталий Давидович Мильман, Виталий Давидович 1939 ויטלי מילמן ויטלי מילמן מתמטיקאי רוסי
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