Vitali Milman

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

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

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

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

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

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

2011

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

Milman, V. D., Segal, A. & Slomka, B. A., 1 Dec 2011, In: Journal of Functional Analysis. 261, 11, p. 3366-3389 24 p.

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

Open Access

4 Scopus citations

A functional equation characterizing the second derivative

König, H. & Milman, V., 15 Aug 2011, In: Journal of Functional Analysis. 261, 4, p. 876-896 21 p.

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

Open Access

4 Scopus citations

Characterizing the derivative and the entropy function by the Leibniz rule

König, H. & Milman, V., 1 Sep 2011, In: Journal of Functional Analysis. 261, 5, p. 1325-1344 20 p.

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

Open Access

17 Scopus citations

Characterizing the mixed volume

Milman, V. D. & Schneider, R., Nov 2011, In: Advances in Geometry. 11, 4, p. 669-689 21 p.

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

Open Access

6 Scopus citations

Derivative and entropy: The only derivations from C¹(ℝ) to C(ℝ)

Köenig, H. & Milman, V., 2011, In: Electronic Research Announcements in Mathematical Sciences. 18, p. 54-60 7 p.

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

Open Access

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

Artstein-Avidan, S. & Milman, V., 2011, In: Journal of the European Mathematical Society. 13, 4, p. 975-1004 30 p.

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

Open Access

40 Scopus citations

Order isomorphisms in windows

Artstein-Avidan, S., Florentin, D. & Milman, V., 2011, In: Electronic Research Announcements in Mathematical Sciences. 18, p. 112-118 7 p.

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

2 Scopus citations

The chain rule functional equation on Rⁿ

König, H. & Milman, V., 15 Aug 2011, In: Journal of Functional Analysis. 261, 4, p. 861-875 15 p.

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

Open Access

1 Scopus citations

2010

A characterization of product preserving maps with applications to a characterization of the Fourier transform

Alesker, S., Artstein-Avidan, S., Faifman, D. & Milman, V., 2010, In: Illinois Journal of Mathematics. 54, 3, p. 1115-1132 18 p.

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

Open Access

14 Scopus citations

A characterization of the support map

Artstein-Avidan, S. & Milman, V., 15 Jan 2010, In: Advances in Mathematics. 223, 1, p. 379-391 13 p.

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

Open Access

18 Scopus citations

Essentially-Euclidean convex bodies

Litvak, A. E., Milman, V. D. & Nicole, T. J., 2010, In: Studia Mathematica. 196, 3, p. 207-221 15 p.

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

Open Access

2 Scopus citations

The chain rule as a functional equation

Artstein-Avidan, S., König, H. & Milman, V., Dec 2010, In: Journal of Functional Analysis. 259, 11, p. 2999-3024 26 p.

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

Open Access

20 Scopus citations

2009

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

Artstein-Avidan, S. & Milman, V., 2009, In: Annals of Mathematics. 169, 2, p. 661-674 14 p.

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

Open Access

71 Scopus citations

2008

A characterization of the Fourier transform and related topics

Alesker, S., Artstein-Avidan, S. & Milman, V., Jun 2008, In: Comptes Rendus Mathematique. 346, 11-12, p. 625-628 4 p.

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

Open Access

7 Scopus citations

A new duality transform

Artstein-Avidan, S. & Milman, V., 1 Nov 2008, In: Comptes Rendus Mathematique. 346, 21/22, p. 1143-1148 6 p.

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

The concept of duality for measure projections of convex bodies

Artstein-Avidan, S. & Milman, V., 15 May 2008, In: Journal of Functional Analysis. 254, 10, p. 2648-2666 19 p.

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

Open Access

39 Scopus citations

The M-ellipsoid, symplectic capacities and volume

Axtstein-Avidan, S., Milman, V. & Ostrover, Y., 2008, In: Commentarii Mathematici Helvetici. 83, 2, p. 359-369 11 p.

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

27 Scopus citations

Using rademacher permutations to reduce randomness

Artstein-Avidan, S. & Milman, V. D., 2008, In: St. Petersburg Mathematical Journal. 19, 1, p. 15-31 17 p.

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

Open Access

1 Scopus citations

2007

A characterization of the concept of duality

Artstein-Avidan, S. & Milman, V., 2007, In: Electronic Research Announcements of the American Mathematical Society. 14, p. 42-59 18 p.

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

39 Scopus citations

2006

Entropy extension

Litvak, A. E., Milman, V. D., Pajor, A. & Tomczak-Jaegermann, N., Oct 2006, In: Functional Analysis and its Applications. 40, 4, p. 298-303 6 p.

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

Open Access

3 Scopus citations

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

Artstein-Avidan, S., Friedland, O. & Milman, V., 2006, In: Proceedings of the American Mathematical Society. 134, 6, p. 1735-1742 8 p.

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

Open Access

7 Scopus citations

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

Artstein-Avidan, S. & Milman, V. D., 1 Jun 2006, In: Journal of Functional Analysis. 235, 1, p. 297-329 33 p.

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

Open Access

18 Scopus citations

Polynomial bounds for large bernoulli sections of ℓ₁ ^N

Artstein-Avidan, S., Friedland, O., Milman, V. & Sodin, S., 2006, In: Israel Journal of Mathematics. 156, p. 141-155 15 p.

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

8 Scopus citations

Simplicity v/s complexity in the framework of geometric asymptotic analysis and some new applications of the concentration phenomenon

Milman, V. D., Nov 2006, In: Milan Journal of Mathematics. 74, 1, p. 199-211 13 p.

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

2005

Asymptotic formulas for the diameter of sections of symmetric convex bodies

Giannopoulos, A., Milman, V. D. & Tsolomitis, A., 1 Jun 2005, In: Journal of Functional Analysis. 223, 1, p. 86-108 23 p.

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

Open Access

17 Scopus citations

Geometry of log-concave functions and measures

Klartag, B. & Milman, V. D., Apr 2005, In: Geometriae Dedicata. 112, 1, p. 169-182 14 p.

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

106 Scopus citations

Rapid Steiner symmetrization of most of a convex body and the slicing problem

Klartag, B. & Milman, V., Nov 2005, In: Combinatorics Probability and Computing. 14, 5-6, p. 829-843 15 p.

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

Open Access

15 Scopus citations

2004

Duality of metric entropy

Artstein, S., Milman, V. & Szarek, S. J., May 2004, In: Annals of Mathematics. 159, 3, p. 1313-1328 16 p.

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

Open Access

37 Scopus citations

On convexified packing and entropy duality

Artstein, S., Milman, V., Szarek, S. & Tomczak-Jaegermann, N., Oct 2004, In: Geometric and Functional Analysis. 14, 5, p. 1134-1141 8 p.

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

16 Scopus citations

Phenomena arising from high dimensionality

Milman, V., 2004, In: Russian Mathematical Surveys. 59, 1, p. 159-169 11 p.

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

5 Scopus citations

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

Artstein-Avidan, S., Klartag, B. & Milman, V., 2004, In: Mathematika. 51, 1-2, p. 33-48 16 p.

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

115 Scopus citations

Vitali Milman

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