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- Vitali Milman

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
34
Citations
7,646
179
World Ranking
1982
National Ranking
31

2013 - Fellow of the American Mathematical Society

- Mathematical analysis
- Geometry
- Algebra

Mathematical analysis, Combinatorics, Convex body, Pure mathematics and Discrete mathematics are his primary areas of study. His research in the fields of Legendre transformation and Asymptotic analysis overlaps with other disciplines such as Geometric analysis and Asymptotology. Vitali Milman interconnects Construct, Mean width, Theoretical computer science and Convex optimization in the investigation of issues within Combinatorics.

His biological study spans a wide range of topics, including Banach space and Unit sphere. His Unit sphere research integrates issues from Space, Position and Inertia. The Discrete mathematics study combines topics in areas such as Property, Minkowski inequality and Reflexive space.

- Asymptotic theory of finite dimensional normed spaces (829 citations)
- λ1, Isoperimetric inequalities for graphs, and superconcentrators (786 citations)
- The dimension of almost spherical sections of convex bodies (372 citations)

His primary areas of study are Combinatorics, Pure mathematics, Convex body, Discrete mathematics and Mathematical analysis. The study incorporates disciplines such as Regular polygon, Mixed volume, Convex analysis, Convex set and Function in addition to Combinatorics. His Regular polygon study combines topics in areas such as Dimension and Euclidean geometry.

His study focuses on the intersection of Pure mathematics and fields such as Duality with connections in the field of Legendre transformation. His work on Euclidean ball as part of general Convex body study is frequently connected to Ellipsoid, therefore bridging the gap between diverse disciplines of science and establishing a new relationship between them. His work on Banach space, Normed vector space and Lp space as part of his general Discrete mathematics study is frequently connected to Cardinality, thereby bridging the divide between different branches of science.

- Combinatorics (43.39%)
- Pure mathematics (32.28%)
- Convex body (25.93%)

- Combinatorics (43.39%)
- Pure mathematics (32.28%)
- Regular polygon (17.46%)

His scientific interests lie mostly in Combinatorics, Pure mathematics, Regular polygon, Discrete mathematics and Convexity. He has researched Combinatorics in several fields, including Subderivative, Characterization, Function, Chain rule and Convex set. His work deals with themes such as Minkowski addition, Convex geometry, Convex body and Inequality, which intersect with Pure mathematics.

His study deals with a combination of Convex body and Delta operator. His work in Regular polygon addresses subjects such as Star, which are connected to disciplines such as Of the form. His Discrete mathematics course of study focuses on Type and Total derivative and Dual norm.

- Asymptotic Geometric Analysis, Part I (115 citations)
- Hidden structures in the class of convex functions and a new duality transform (39 citations)
- Mixed integrals and related inequalities (36 citations)

- Mathematical analysis
- Geometry
- Algebra

His main research concerns Combinatorics, Discrete mathematics, Convex analysis, Mixed volume and Convex optimization. Vitali Milman incorporates Combinatorics and Ellipsoid in his studies. His Discrete mathematics study incorporates themes from Second derivative, Type, Order and Concave function.

Vitali Milman combines subjects such as Duality gap, Duality, Subderivative and Convex set with his study of Convex analysis. His Mixed volume research includes elements of Minkowski space, Mathematics Subject Classification, Convex polytope, Function and Calculus. His work focuses on many connections between Convex polytope and other disciplines, such as Convex hull, that overlap with his field of interest in Pure mathematics.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Asymptotic theory of finite dimensional normed spaces

Vitali D Milman;Gideon Schechtman.

**(1986)**

1307 Citations

λ1, Isoperimetric inequalities for graphs, and superconcentrators

Noga Mordechai Alon;V. D. Milman.

Journal of Combinatorial Theory, Series B **(1985)**

1111 Citations

The dimension of almost spherical sections of convex bodies

T. Figiel;J. Lindenstrauss;V. D. Milman.

Acta Mathematica **(1977)**

589 Citations

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

V. D. Milman;V. D. Milman;A. Pajor.

**(1989)**

496 Citations

Approximation of zonoids by zonotopes

J. Bourgain;J. Lindenstrauss;V. Milman.

Acta Mathematica **(1989)**

297 Citations

Asymptotic Geometric Analysis, Part I

Shiri Artstein-Avidan;Apostolos Giannopoulos;Vitali Milman.

Mathematical Surveys and Monographs **(2015)**

259 Citations

Geometry of Log-concave Functions and Measures

B. Klartag;V. D. Milman.

Geometriae Dedicata **(2005)**

204 Citations

Functional analysis : an introduction

Yuli Eidelman;Vitali D. Milman;Antonis Tsolomitis.

**(2004)**

169 Citations

Geometric Aspects of Functional Analysis

Joram Lindenstrauss;Vitali D. Milman.

**(1987)**

167 Citations

On type of metric spaces

J. Bourgain;V. Milman;H. Wolfson.

Transactions of the American Mathematical Society **(1986)**

160 Citations

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