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Vitali Milman

Vitali Milman

D-Index & Metrics

Mathematics

D-Index
41
Citations
9225
World Ranking
1874
National Ranking
31

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Overview

Vitali Milman is affiliated with Tel Aviv University in Israel and has made contributions primarily in the fields of Mathematics and Computer Science. Their work spans several subfields including Applied Mathematics, Geometry and Topology, Mathematical Physics, Computational Theory and Mathematics, as well as Algebra and Number Theory.

Their research interests focus on topics such as Point Processes and Geometric Inequalities, Mathematics and Applications, Advanced Banach Space Theory, Computational Geometry and Mesh Generation, Mathematical Inequalities and Applications, Advanced Operator Algebra Research, and Functional Equations Stability Results.

Recent papers by Vitali Milman include the following:

  • Novel View on Classical Convexity Theory, 2020, published in Zurnal matematiceskoj fiziki analiza geometrii
  • Remembering Jean Bourgain (1954-2018), 2021, published in Notices of the American Mathematical Society
  • Novel view on classical convexity theory, 2020, published on arXiv (Cornell University)
  • Эссе о замечательной теореме Кашина 1977 г. о разложении, 2022, published in Труды Математического института им Стеклова
  • Essay on Kashin's Remarkable 1977 Decomposition Theorem, 2022, published in Proceedings of the Steklov Institute of Mathematics

Vitali Milman has published in several academic venues multiple times, including:

  • arXiv (Cornell University)
  • Zurnal matematiceskoj fiziki analiza geometrii
  • Notices of the American Mathematical Society
  • Труды Математического института им Стеклова
  • Proceedings of the Steklov Institute of Mathematics

Co-authorship has seen collaboration with multiple researchers, notably:

  • Shiri Artstein-Avidan
  • Apostolos Giannopoulos
  • Liran Rotem
  • Emanuel Milman
  • Ingrid Daubechies

In addition to journal articles, Vitali Milman has contributed to book publications, with at least one book titled "Asymptotic Geometric Analysis, Part II" published in 2021 under the Mathematical Surveys and Monographs series. This work has been cited in academic literature and forms part of Milman's broader scholarly output.

Among recognitions, Vitali Milman was named a Fellow of the American Mathematical Society in 2013, acknowledging their membership within this professional community.

Best Publications

  • Asymptotic theory of finite dimensional normed spaces

    Vitali D Milman;Gideon Schechtman

  • λ1, Isoperimetric inequalities for graphs, and superconcentrators

    Noga Mordechai Alon;V. D. Milman

  • The dimension of almost spherical sections of convex bodies

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

  • New volume ratio properties for convex sym-metric bodies in IRn.

    J. Bourgain;V. D. Milman

  • 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

  • Approximation of zonoids by zonotopes

    J. Bourgain;J. Lindenstrauss;V. Milman

  • Asymptotic Geometric Analysis, Part I

    Shiri Artstein-Avidan;Apostolos Giannopoulos;Vitali Milman

  • Geometry of Log-concave Functions and Measures

    B. Klartag;V. D. Milman

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

    S. Artstein-Avidan;B. Klartag;V. Milman

  • Functional analysis : an introduction

    Yuli Eidelman;Vitali D. Milman;Antonis Tsolomitis

  • Geometric Aspects of Functional Analysis

    Joram Lindenstrauss;Vitali D. Milman

  • On type of metric spaces

    J. Bourgain;V. Milman;H. Wolfson

  • Extremal Problems and Isotropic Positions of Convex Bodies

    A. A. Giannopoulos;V. D. Milman

  • Entropy and Asymptotic Geometry of Non-Symmetric Convex Bodies☆

    V.D. Milman;A. Pajor

  • Chapter 17 - Euclidean Structure in Finite Dimensional Normed Spaces

    Apostolos A. Giannopoulos;Vitali D. Milman

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

    Shiri Artstein-Avidan;Vitali D. Milman

  • Eigenvalues, Expanders And Superconcentrators

    N. Alon;V.D. Milman

  • Asymptotic Infinite-Dimensional Theory of Banach Spaces

    Bernard Maurey;Vitali Milman;Nicole Tomczak-Jaegermann

  • Averages of norms and quasi-norms

    A.E. Litvak;V.D. Milman;G. Schechtman

  • Better expanders and superconcentrators

    N. Alon;Z. Galil;V. D. Milman

Frequent Co-Authors

Stanislaw J. Szarek
Stanislaw J. Szarek Case Western Reserve University
Nicole Tomczak-Jaegermann
Nicole Tomczak-Jaegermann University of Alberta
Jean Bourgain
Jean Bourgain Institute for Advanced Study
Gideon Schechtman
Gideon Schechtman Weizmann Institute of Science
Alain Pajor
Alain Pajor Université Paris Cité
Joram Lindenstrauss
Joram Lindenstrauss Hebrew University of Jerusalem
Noga Alon
Noga Alon Tel Aviv University
Rolf Schneider
Rolf Schneider University of Freiburg
Gilles Pisier
Gilles Pisier Texas A&M University
Haim J. Wolfson
Haim J. Wolfson Tel Aviv University

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