V. Milman

发表

The dimension of almost spherical sections of convex bodies

T. Figiel, J. Lindenstrauss, V. Milman, 1976 .

il , , lsoperimetric Inequalities for Graphs , and Superconcentrators

N. Alon, V. Milman, 1985 .

Some remarks about embeddings ofl1k in finite-dimensional spaces

V. Milman, 1982 .

Concentration Property on Probability Spaces

V. Milman, A. Giannopoulos, 2000 .

Chapter 17 - Euclidean Structure in Finite Dimensional Normed Spaces

V. Milman, A. Giannopoulos, 2001 .

Embedding ofl∞k in finite dimensional Banach spaces

N. Alon, V. Milman, V. Milman, 1983 .

Approximation of zonoids by zonotopes

J. Lindenstrauss, V. Milman, J. Bourgain, 1989 .

Polynomial bounds for Large Bernoulli sections of ℓ1N

V. Milman, S. Sodin, S. Artstein-Avidan, 2006 .

Logarithmic reduction of the level of randomness in some probabilistic geometric constructions

V. Milman, S. Artstein-Avidan, 2006 .

Isotropic position and inertia ellipsoids and zonoids of the unit ball of a normed n-dimensional space

V. Milman, A. Pajor, 1989 .

Geometric Aspects of Functional Analysis

J. Lindenstrauss, V. Milman, 1987 .

The Local Theory of Normed Spaces and its Applications to Convexity

J. Lindenstrauss, V. Milman, 1993 .

The dimension of almost spherical sections of convex bodies

T. Figiel, J. Lindenstrauss, V. Milman, 1976 .

Institute for Mathematical Physics Euclidean Structure in Finite Dimensional Normed Spaces Euclidean Structure in Finite Dimensional Normed Spaces

V. Milman, SPACESA. A. Giannopoulos, 2009 .

Coordinate density of sets of vectors

Mark G. Karpovsky, V. D. Milman, V. Milman, 1978, Discret. Math..

Geometry of Log-concave Functions and Measures

V. Milman, B. Klartag, 2005 .

Averages of norms and quasi-norms

V. Milman, G. Schechtman, A. Litvak, 1998 .

Topics in Asymptotic Geometric Analysis

V. Milman, 2000 .

Geometric aspects of functional analysis : Israel Seminar (GAFA), 1987-88

J. Lindenstrauss, V. Milman, 1989 .

Better Expanders and Superconcentrators

Noga Alon, Zvi Galil, V. D. Milman, 1987, J. Algorithms.

A characterization of the Fourier transform and related topics

V. Milman, S. Artstein-Avidan, S. Alesker, 2008 .

lambda1, Isoperimetric inequalities for graphs, and superconcentrators

Noga Alon, V. D. Milman, N. Alon, 1985, J. Comb. Theory, Ser. B.

Unconditional and symmetric sets inn-dimensional normed spaces

V. Milman, D. Amir, 1980 .

A quantitative finite-dimensional krivine theorem

V. Milman, D. Amir, 1985 .

Asymptotic Geometric Analysis, Part I

V. Milman, A. Giannopoulos, S. Artstein-Avidan, 2015 .

Almost Euclidean quotient spaces of subspaces of a finite-dimensional normed space

V. Milman, V. D. Milman, 1985 .

On type of metric spaces

Jean Bourgain, Vitali Milman, V. Milman, 1986 .

Functional analysis : an introduction

V. Milman, A. Tsolomitis, Y. Eidelman, 2004 .

Geometric applications of Chernoff-type estimates and a ZigZag approximation for balls

V. Milman, S. Artstein-Avidan, O. Friedland, 2005 .

Institute for Mathematical Physics Entropy and Asymptotic Geometry of Non{symmetric Convex Bodies Entropy and Asymptotic Geometry of Non-symmetric Convex Bodies

V. Milman, A. Pajor, V. D. Milman, 2022 .

Regularization of star bodies by random hyperplane cut off

V. Milman, A. Pajor, 2003 .

New volume ratio properties for convex symmetric bodies in ℝn

V. Milman, J. Bourgain, 1987 .

The Santalo point of a function, and a functional form of the Santalo inequality

Bo'az Klartag, Shiri Artstein-Avidan, Vitali Milman, 2004 .

Asymptotic formulas for the diameter of sections of symmetric convex bodies

Apostolos Giannopoulos, Antonis Tsolomitis, Vitali Milman, 2005 .

Dvoretzky's theorem — Thirty years later

Vitali Milman, V. Milman, 1992 .

Mixed integrals and related inequalities

Vitali Milman, Liran Rotem, V. Milman, 2012, 1210.4346.

Rapid Steiner Symmetrization of Most of a Convex Body and the Slicing Problem

V. Milman, B. Klartag, 2005, Combinatorics, Probability and Computing.

Asymptotic Convex Geometry Short Overview

V. Milman, A. Giannopoulos, 2004 .

Asymptotic Geometric Analysis, Part II

V. Milman, A. Giannopoulos, S. Artstein-Avidan, 2021, Mathematical Surveys and Monographs.

Order isomorphisms in windows

V. Milman, S. Artstein-Avidan, D. Florentin, 2011 .

On Convexified Packing and Entropy Duality

V. Milman, S. Szarek, N. Tomczak-Jaegermann, 2004, math/0407238.

FA ] 1 5 M ar 2 00 6 Polynomial bounds for large Bernoulli sections of l N 1

V. Milman, S. Sodin, S. Artstein-Avidan, 2022 .

Duality of metric entropy

V. Milman, S. Szarek, S. Artstein, 2004, math/0407236.

LowM*-Estimates on Coordinate Subspaces☆

V. Milman, A. Giannopoulos, 1996, math/9605218.

Asymptotic Infinite-Dimensional Theory of Banach Spaces

V. Milman, N. Tomczak-Jaegermann, B. Maurey, 1994, math/9403208.

Stabilized asymptotic structures and envelopes in banach spaces

V. Milman, N. Tomczak-Jaegermann, 2000 .

Asymptotic $l_p$ spaces and bounded distortions

V. Milman, N. Tomczak-Jaegermann, 1992, math/9209214.

Diameter of a minimal invariant subset of equivariant lipschitz actions on compact subsets of ℝ k

V. Milman, 1987 .

The "M"-ellipsoid, symplectic capacities and volume

V. Milman, S. Artstein-Avidan, Y. Ostrover, 2006, math/0604434.

Random subspaces of proportional dimension of finite dimensional normed spaces: Approach through the isoperimetric inequality

V. Milman, V. D. Milman, 1985 .

How small can the intersection of a few rotations of a symmetric convex body be

V. Milman, A. Giannopoulos, 1997 .

Asymptotic Convex Geometry Short Overview

V. Milman, A. Giannopoulos, 2004 .

On the diameter of proportional sections of a symmetric convex body

Apostolos Giannopoulos, Vitali Milman, V. Milman, 1997 .

Distances between normed spaces, their subspaces and quotient spaces

Jean Bourgain, Vitali Milman, V. Milman, 1986 .

The distance between certainn-dimensional Banach spaces

V. Milman, N. Tomczak-Jaegermann, W. Davis, 1981 .

The slicing problem by Bourgain

V. Milman, B. Klartag, 2020 .

Extremal problems and isotropic positions of convex bodies

Apostolos Giannopoulos, Vitali Milman, V. Milman, 2000 .

Convex bodies with minimal mean width

Mark Rudelson, Apostolos Giannopoulos, Vitali Milman, 2000 .

MEAN WIDTH AND DIAMETER OF PROPORTIONAL SECTIONS OF A SYMMETRIC CONVEX BODY

Apostolos Giannopoulos, Vitali Milman, V. Milman, 1998 .

Surprising Geometric Phenomena in High-Dimensional Convexity Theory

Vitali Milman, V. Milman, 1998 .

Volume approach and iteration procedures in local theory of normed spaces

V. Milman, 1985 .

Minkowski spaces with extremal distance from the Euclidean space

Vitali Milman, V. Milman, H. Wolfson, 1978 .

Essentially-Euclidean convex bodies

V. Milman, A. Litvak, N. Tomczak-Jaegermann, 2010 .

Essentially-Euclidean convex bodies 1

V. Milman, A. Litvak, N. Tomczak-Jaegermann, 2010 .

On subspaces contained in subsets of finite homogeneous spaces

Mark G. Karpovsky, V. D. Milman, V. Milman, 1978, Discret. Math..

A geometric lemma and duality of entropy numbers

V. Milman, S. Szarek, 2000 .

The Chain Rule Operator Equation for Polynomials and Entire Functions

V. Milman, H. König, 2017 .

Rigidity of the Chain Rule and Nearly Submultiplicative Functions

V. Milman, H. König, 2017 .

Submultiplicative functions and operator inequalities

V. Milman, H. König, 2014 .

An operator equation characterizing the Laplacian

V. Milman, H. König, 2013 .

Rigidity and stability of the Leibniz and the chain rule

V. Milman, H. König, 2013 .

Operator Functional Equations in Analysis

V. Milman, H. König, 2013 .

An Operator Equation Generalizing the Leibniz Rule for the Second Derivative

V. Milman, H. König, 2012 .

Characterizing the derivative and the entropy function by the Leibniz rule

V. Milman, H. König, 2011 .

A functional equation characterizing the second derivative

V. Milman, H. König, 2011 .

Derivative and entropy: the only derivations from $C^1(RR)$ to $C(RR)$

V. Milman, Hermann Köenig, 2011 .

Isomorphic Random Subspaces and Quotients of Convex and Quasi-Convex Bodies

V. Milman, A. Litvak, N. Tomczak-Jaegermann, 2004 .

Averages of norms and behavior of families of projective caps on the sphere

V. Milman, G. Schechtman, A. Litvak, 1997 .

Jean Bourgain, Joram Lindenstrauss, Vitali Milman, 1989 .

Minkowski sums and symmetrizations

J. Lindenstrauss, V. Milman, J. Bourgain, 1988 .

On a geometric inequality

V. Milman, A. Pajor, J. Bourgain, 1988 .

Some remarks on Urysohn's inequality and volume ratio of cotype 2-spaces

V. Milman, 1987 .

Convex Geometric Analysis

V. Milman, K. Ball, 1998 .

A Remarkable Measure Preserving Diffeomorphism between two Convex Bodies in ℝn

V. Milman, S. Dar, S. Alesker, 1999 .

The concept of duality for measure projections of convex bodies

V. Milman, S. Artstein-Avidan, 2008 .

Non-standard Constructions in Convex Geometry: Geometric Means of Convex Bodies

V. Milman, Liran Rotem, 2017 .

Note on the Geometric-Arithmetic Mean Inequality

Vitali Milman, V. Milman, E. Gluskin, 2003 .

Some Remarks on a Lemma of Ran Raz

Roy Wagner, Vitali Milman, V. Milman, 2003 .

Hidden structures in the class of convex functions and a new duality transform

V. Milman, S. Artstein-Avidan, 2011 .

“Irrational” constructions in Convex Geometry

V. Milman, Liran Rotem, 2017 .

Powers and logarithms of convex bodies

V. Milman, Liran Rotem, 2017 .

Characterizing addition of convex sets by polynomiality of volume and by the homothety operation

V. Milman, Liran Rotem, 2015 .

Characterizing the Radial Sum for Star Bodies

V. Milman, Liran Rotem, 2017 .

Reciprocals and Flowers in Convexity

V. Milman, E. Milman, Liran Rotem, 2018, Lecture Notes in Mathematics.

Stability of the Blaschke–Santaló and the affine isoperimetric inequality

V. Milman, B. Klartag, S. Reisner, 2010 .

Geometric Applications of Chernoff-Type Estimates

V. Milman, S. Artstein-Avidan, O. Friedland, 2007 .

The Concentration Phenomenon and Linear Structure of Finite-Dimensional Normed Spaces

V. Milman, 2010 .

Randomizing properties of convex high-dimensional bodies and some geometric inequalities

V. Milman, E. Gluskin, 2002 .

A characterization of the support map

V. Milman, S. Artstein-Avidan, 2010 .

The concept of duality in convex analysis, and the characterization of the Legendre transform

Shiri Artstein-Avidan, Vitali Milman, V. Milman, 2009 .

The concept of duality in convex analysis

Shiri Artstein-Avidan, Vitali Milman, V. Milman, 2016 .

SG ] 4 J un 2 00 6 The M-ellipsoid , Symplectic Capacities and Volume

V. Milman, S. Artstein-Avidan, Y. Ostrover, 2019 .

A few observations on the connections between local theory and some other fields

V. Milman, V. D. Milman, 1988 .

Some applications of duality relations

V. Milman, 1991 .

Isomorphic symmetrization and geometric inequalities

Vitali Milman, V. Milman, 1988 .

Identifying Set Inclusion by Projective Positions and Mixed Volumes

V. Milman, A. Segal, D. Florentin, 2015, 1510.03844.

Characterizing the mixed volume

V. Milman, R. Schneider, 2011 .

A characterization of the mixed discriminant

V. Milman, R. Schneider, D. Florentin, 2013, 1309.4798.

$\alpha$-concave functions and a functional extension of mixed volumes

Vitali Milman, Liran Rotem, V. Milman, 2013, 1302.0823.

Isomorphic Steiner symmetrization

V. Milman, B. Klartag, 2003 .

A characterization of duality through section/projection correspondence in the finite dimensional setting☆

Boaz A. Slomka, V. Milman, A. Segal, 2011 .