Vitali Milman

2023

A Chapter About Asymptotic Geometric Analysis: Isomorphic Position of Centrally Symmetric Convex Bodies

Milman, V., 2023, Lecture Notes in Mathematics. Springer Science and Business Media Deutschland GmbH, p. 199-207 9 p. (Lecture Notes in Mathematics; vol. 2313).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Asymptotic Geometric Analysis: Achievements and Perspective

Milman, V., 2023, Lecture Notes in Mathematics. Springer Science and Business Media Deutschland GmbH, p. 1-55 55 p. (Lecture Notes in Mathematics; vol. 2327).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

2022

Essay on Kashin’s Remarkable 1977 Decomposition Theorem

Milman, V. D., Dec 2022, In: Proceedings of the Steklov Institute of Mathematics. 319, 1, p. 200-208 9 p.

Research output: Contribution to journal › Article › peer-review

The slicing problem by bourgain

Klartag, B. & Milman, V., 1 Nov 2022, Analysis at Large: Dedicated to the Life and Work of Jean Bourgain. Springer International Publishing, p. 203-231 29 p.

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

5 Scopus citations

2020

Novel view on classical convexity theory

Milman, V. & Rotem, L., 2020, In: Journal of Mathematical Physics, Analysis, Geometry. 16, 3, p. 291-311 21 p.

Research output: Contribution to journal › Article › peer-review

Open Access

2 Scopus citations

Reciprocals and Flowers in Convexity

Milman, E., Milman, V. & Rotem, L., 2020, Lecture Notes in Mathematics. Springer, p. 199-227 29 p. (Lecture Notes in Mathematics; vol. 2266).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

6 Scopus citations

2019

Weighted geometric means of convex bodies

Milman, V. & Rotem, L., 2019, Contemporary Mathematics. American Mathematical Society, p. 233-249 17 p. (Contemporary Mathematics; vol. 733).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

4 Scopus citations

2018

"Irrational" constructions in convex geometry

Milman, V. & Rotem, L., 2018, In: St. Petersburg Mathematical Journal. 29, 1, p. 165-175 11 p.

Research output: Contribution to journal › Article › peer-review

Operator Relations Characterizing Derivatives

König, H. & Milman, V., Oct 2018, Birkhäuser/Springer, Cham. 191 p.

Research output: Book/Report › Book › peer-review

Open Access

Submultiplicative operators on C^k-spaces

Faifman, D., König, H. & Milman, V., 2018, Operator Theory: Advances and Applications. Springer International Publishing, p. 267-279 13 p. (Operator Theory: Advances and Applications; vol. 261).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

The extended leibniz rule and related equations in the space of rapidly decreasing functions

König, H. & Milman, V., 2018, In: Journal of Mathematical Physics, Analysis, Geometry. 14, 3, p. 336-361 26 p.

Research output: Contribution to journal › Article › peer-review

2017

Characterizing the radial sum for star bodies

Milman, V. & Rotem, L., 2017, Lecture Notes in Mathematics. Springer Verlag, p. 319-329 11 p. (Lecture Notes in Mathematics; vol. 2169).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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

Milman, V., Rotem, L., Carlen, E. (Editor), Madiman, M. (Editor) & Werner, E. M. (Editor), 2017, p. 361-390. 30 p.

Research output: Contribution to conference › Paper › peer-review

Orbit point of view on some results of asymptotic theory; orbit type and cotype

Ben-Efraim, L., Milman, V. & Segal, A., 2017, Lecture Notes in Mathematics. Springer Verlag, p. 15-23 9 p. (Lecture Notes in Mathematics; vol. 2169).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Powers and logarithms of convex bodies

Translated title of the contribution: Powers and logarithms of convex bodiesMilman, V. & Rotem, L., Sep 2017, In: Comptes Rendus Mathematique. 355, 9, p. 981-986 6 p.

Research output: Contribution to journal › Article › peer-review

Open Access

4 Scopus citations

Rigidity of the chain rule and nearly submultiplicative functions

König, H. & Milman, V., 2017, Lecture Notes in Mathematics. Springer Verlag, p. 235-264 30 p. (Lecture Notes in Mathematics; vol. 2169).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

The Chain Rule Operator Equation for Polynomials and Entire Functions

König, H., Milman, V., Carlen, E. (Editor), Madiman, M. (Editor) & Werner, E. M. (Editor), 2017, p. 613-623. 11 p.

Research output: Contribution to conference › Paper › peer-review

Open Access

2016

A characterization of the mixed discriminant

Florentin, D., Milman, V. D. & Schneider, R., May 2016, In: Proceedings of the American Mathematical Society. 144, 5, p. 2197-2204 8 p.

Research output: Contribution to journal › Article › peer-review

Open Access

5 Scopus citations

2015

Asymptotic Geometric Analysis, Part I

Artstein-Avidan, S., Giannopoulos, A. & Milman, V. D., 2015, Providence, RI: American Mathematical Society. 451 p. (Mathematical surveys and monographs; vol. volume 202)

Research output: Book/Report › Book › peer-review

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

Milman, V. & Rotem, L., 25 Jun 2015, In: Communications in Contemporary Mathematics. 17, 3, 1450022.

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

2014

Identifying set inclusion by projective positions and mixed volumes

Florentin, D., Milman, V. & Segal, A., 2014, In: Lecture Notes in Mathematics. 2116, p. 133-145 13 p.

Research output: Contribution to journal › Article › peer-review

On the oscillation rigidity of a lipschitz function on a high-dimensional flat torus

Faifman, D., Klartag, B. & Milman, V., 2014, In: Lecture Notes in Mathematics. 2116, p. 123-131 9 p.

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Operator equations and domain dependence, the case of the Schwarzian derivative

König, H. & Milman, V., 15 Feb 2014, In: Journal of Functional Analysis. 266, 4, p. 2546-2569 24 p.

Research output: Contribution to journal › Article › peer-review

Open Access

Submultiplicative functions and operator inequalities

König, H. & Milman, V., 2014, In: Studia Mathematica. 223, 3, p. 217-231 15 p.

Research output: Contribution to journal › Article › peer-review

Open Access

2 Scopus citations

The derivation equation for C^k-functions: S tability and localization

König, H. & Milman, V., Oct 2014, In: Israel Journal of Mathematics. 203, 1, p. 405-427 23 p.

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

2013

An operator equation characterizing the laplacian

König, H. & Milmanh, V., 2013, In: St. Petersburg Mathematical Journal. 24, 4, p. 631-644 14 p.

Research output: Contribution to journal › Article › peer-review

Open Access

2 Scopus citations

A note on operator equations describing the integral

König, H. & Milman, V., 2013, In: Journal of Mathematical Physics, Analysis, Geometry. 9, 1, p. 51-58 8 p.

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Asymptotic Geometric Analysis: Proceedings of the Fall 2010 Fields Institute Thematic Program

Ludwig, M., Milman, V. D., Pestov, V. & Tomczak-Jaegermann, N., 2013, Asymptotic Geometric Analysis: Proceedings of the Fall 2010 Fields Institute Thematic Program. Ludwig, M., Pestov, V., Milman, V. & Tomczak-Jaegermann, N. (eds.). Springer New York, (Fields Institute Communications; vol. 68).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

1 Scopus citations

Mixed integrals and related inequalities

Milman, V. & Rotem, L., 15 Jan 2013, In: Journal of Functional Analysis. 264, 2, p. 570-604 35 p.

Research output: Contribution to journal › Article › peer-review

Open Access

29 Scopus citations

Operator Functional Equations in Analysis

König, H. & Milman, V., 2013, Asymptotic Geometric Analysis: Proceedings of the Fall 2010 Fields Institute Thematic Program. Ludwig, M., Pestov, V., Milman, V. & Tomczak-Jaegermann, N. (eds.). Springer New York, p. 189-209 21 p. (Fields Institute Communications; vol. 68).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

4 Scopus citations

Preface

Ludwig, M., Milman, V. D., Pestov, V. & Tomczak-Jaegermann, N., 2013, Asymptotic Geometric Analysis: Proceedings of the Fall 2010 Fields Institute Thematic Program. Ludwig, M., Pestov, V., Milman, V. & Tomczak-Jaegermann, N. (eds.). p. v-vii (Fields Institute Communications; vol. 68).

Research output: Chapter in Book/Report/Conference proceeding › Foreword/postscript

Rigidity and stability of the Leibniz and the chain rule

König, H. & Milman, V., 2013, In: Proceedings of the Steklov Institute of Mathematics. 280, 1, p. 191-207 17 p.

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Stability results for some classical convexity operations

Artstein-Avidan, S. & Milman, V., Jan 2013, In: Advances in Geometry. 13, 1, p. 51-70 20 p.

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

α-concave functions and a functional extension of mixed volumes

Milman, V. & Rotem, L., 2013, In: Electronic Research Announcements in Mathematical Sciences. 20, p. 1-11 11 p.

Research output: Contribution to journal › Article › peer-review

Open Access

10 Scopus citations

2012

An operator equation generalizing the leibniz rule for the second derivative

König, H. & Milman, V., 2012, Geometric Aspects of Functional Analysis: Israel Seminar 2006-2010. Springer Verlag, p. 279-299 21 p. (Lecture Notes in Mathematics; vol. 2050).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

6 Scopus citations

Bio-photon mechanism of the activation of cellular programmes: A haemopoietic precursors' proliferation induction at soft agar

Vladimirsky, E. B. & Milman, V. D., 2012, In: Cellular Transplantation and Tissue Engineering. 7, 1, p. 92-96 5 p.

Research output: Contribution to journal › Article › peer-review

On multiplicative maps of continuous and smooth functions

Artstein-Avidan, S., Faifman, D. & Milman, V., 2012, Geometric Aspects of Functional Analysis: Israel Seminar 2006-2010. Springer Verlag, p. 35-59 25 p. (Lecture Notes in Mathematics; vol. 2050).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

8 Scopus citations

Order isomorphisms on convex functions in windows

Artstein-Avidan, S., Florentin, D. & Milman, V., 2012, Geometric Aspects of Functional Analysis: Israel Seminar 2006-2010. Springer Verlag, p. 61-122 62 p. (Lecture Notes in Mathematics; vol. 2050).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Open Access

11 Scopus citations

Preface

Klartag, B., Mendelson, S. & Milman, V., 2012, Geometric Aspects of Functional Analysis: Israel Seminar 2006-2010. Springer Verlag, p. v-vi (Lecture Notes in Mathematics; vol. 2050).

Research output: Chapter in Book/Report/Conference proceeding › Foreword/postscript

2011