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Author ID: milman.vitali-d Recent zbMATH articles by "Milman, Vitali D."
Published as: Milman, V. D.; Milman, Vitali; Mil’man, V. D.; Milman, V.; Milman, Vitali D.; Mil’man, Vitali D.
External Links: MGP · Wikidata · GND · IdRef
all top 5

Co-Authors

55 single-authored
27 Artstein-Avidan, Shiri
20 König, Hermann
18 Bourgain, Jean
13 Lindenstrauss, Joram
13 Tomczak-Jaegermann, Nicole
12 Giannopoulos, Apostolos A.
11 Schechtman, Gideon
10 Alon, Noga
10 Pajor, Alain
10 Rotem, Liran
9 Klartag, Bo’az
9 Litvak, Aleksandr Evgen’evich
8 Gromov, Mikhael Leonidovich
6 Szarek, Stanislaw Jerzy
5 Mil’man, D. P.
4 Alesker, Semyon
4 Connes, Alain
4 Faifman, Dmitry
4 Florentin, Dan Itzhak
4 Karpovsky, Mark G.
4 Pisier, Gilles
3 Figiel, Tadeusz
3 Friedland, Omer
3 Gluskin, Efim D.
3 Myshkis, Anatoliĭ Dmitrievich
3 Segal, Alexander
3 Wolfson, Haim J.
2 Amir, Dan
2 Ball, Keith Martin
2 Jitomirskaya, Svetlana Yakovlevna
2 Kononenko, A. I.
2 Lindenstrauss, Elon
2 Schneider, Rolf G.
2 Sharir, Micha
2 Sodin, Mikhail
2 Tsolomitis, Antonis
2 Wagner, Roy
1 Aron, Richard Martin
1 Belitskii, Genrich R.
1 Ben-Efraim, Limor
1 Benyamini, Yoav
1 Blokh, Alexander M.
1 Brudnyi, Yuri A.
1 Curbera, Guillermo P.
1 Daubechies, Ingrid
1 Davis, William Jay
1 Delbaen, Freddy
1 Deza, Michel Marie
1 Dineen, Seán
1 Eidelman, Yuli
1 Eliashberg, Yakov Matveevich
1 Enflo, Per Henrik
1 Eremenko, Alexandre Émmanuilovich
1 Fel’dman, Gennadiĭ Mikhaĭlovich
1 Galil, Zvi
1 Ghoussoub, Nassif A.
1 Guth, Lawrence David
1 Johnson, William Buhmann
1 Kadets, Mikhail I.
1 Kirillov, A. A. senior
1 Kirzhner, Valery M.
1 Kontorovich, Alex V.
1 Kuchment, Peter A.
1 Lev, A. Ju.
1 Lin, Vladimir Ya.
1 Lindenstrauss, Ayelet
1 Ludwig, Monika
1 Lyubich, Mikhail
1 Lyubich, Yuriĭ Il’ich
1 Marchenko, Vladimir Aleksandrovich
1 Markus, Alexander S.
1 Maurey, Bernard
1 Mendelson, Shahar
1 Meyer, Mathieu
1 Milman, Emanuel
1 Milman, Pierre D.
1 Mityagin, Boris Samuilovich
1 Naor, Assaf
1 Nikol’skiĭ, Nikolaĭ Kapitonovich
1 Ostrover, Yaron
1 Ostrovskiĭ, Iosif Vladimirovich
1 Pastur, Leonid Andreevich
1 Perelson, Alan S.
1 Pestov, Vladimir G.
1 Pinchover, Yehuda
1 Pokrovskiĭ, Valeriĭ Leonidovich
1 Polterovich, Leonid Viktorovich
1 Preiss, David
1 Reich, Simeon
1 Rudelson, Mark
1 Rudnick, Zeév
1 Sarnak, Peter Clive
1 Schlag, Wilhelm
1 Schoen, Richard Melvin
1 Shatalova, Oksana A.
1 Slomka, Boaz A.
1 Sodin, Sasha
1 Spitkovsky, Ilya Matvey
1 Staffilani, Gigliola
1 Szankowski, Andrzej
...and 9 more Co-Authors
all top 5

Serials

12 Israel Journal of Mathematics
12 Journal of Functional Analysis
12 Soviet Mathematics. Doklady
10 Lecture Notes in Mathematics
9 Comptes Rendus de l’Académie des Sciences. Série I
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Proceedings of the American Mathematical Society
4 Teoriya Funktsiĭ, Funktsional’nyĭ Analiz i ikh Prilozheniya
4 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
4 Journal of Mathematical Physics, Analysis, Geometry
4 Electronic Research Announcements in Mathematical Sciences
3 Discrete Mathematics
3 Russian Mathematical Surveys
3 Studia Mathematica
3 Uspekhi Matematicheskikh Nauk [N. S.]
3 Advances in Mathematics
3 Functional Analysis and its Applications
3 Matematicheskiĭ Sbornik. Novaya Seriya
3 Notices of the American Mathematical Society
3 St. Petersburg Mathematical Journal
2 Acta Mathematica
2 Geometriae Dedicata
2 Inventiones Mathematicae
2 Sibirskiĭ Matematicheskiĭ Zhurnal
2 Geometric and Functional Analysis. GAFA
2 Annals of Mathematics. Second Series
2 Advances in Geometry
2 Mathematical Sciences Research Institute Publications
2 Mathematical Surveys and Monographs
2 Proceedings of the Steklov Institute of Mathematics
2 Modern Birkhäuser Classics
1 Doklady Akademii Nauk SSSR
1 American Journal of Mathematics
1 The Annals of Probability
1 Canadian Mathematical Bulletin
1 Commentarii Mathematici Helvetici
1 Compositio Mathematica
1 Duke Mathematical Journal
1 Funktsional’nyĭ Analiz i ego Prilozheniya
1 Illinois Journal of Mathematics
1 Integral Equations and Operator Theory
1 Journal of Combinatorial Theory. Series B
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Annalen
1 Mathematika
1 Proceedings of the London Mathematical Society. Third Series
1 Transactions of the American Mathematical Society
1 Journal of Algorithms
1 IMRN. International Mathematics Research Notices
1 Problemy Peredachi Informatsii
1 Zagadnienia Drgań Nieliniowych
1 Combinatorics, Probability and Computing
1 Documenta Mathematica
1 Journal of the European Mathematical Society (JEMS)
1 Communications in Contemporary Mathematics
1 Milan Journal of Mathematics
1 Bulletin of the American Mathematical Society
1 Revue du CETHEDEC
1 Fields Institute Communications
1 Graduate Studies in Mathematics
1 Israel Mathematical Conference Proceedings
1 Translations. Series 2. American Mathematical Society
1 Operator Theory: Advances and Applications

Publications by Year

Citations contained in zbMATH Open

183 Publications have been cited 3,642 times in 2,233 Documents Cited by Year
Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds. Zbl 0606.46013
Milman, Vitali D.; Schechtman, Gideon
343
1986
\(\lambda_ 1\), isoperimetric inequalities for graphs, and superconcentrators. Zbl 0549.05051
Alon, N.; Milman, V. D.
292
1985
Isotropic position and inertia ellipsoids and zonoids of the unit ball of a normed \(n\)-dimensional space. Zbl 0679.46012
Milman, V. D.; Pajor, A.
191
1989
Asymptotic geometric analysis. I. Zbl 1337.52001
Artstein-Avidan, Shiri; Giannopoulos, Apostolos; Milman, Vitali D.
160
2015
The dimension of almost spherical sections of convex bodies. Zbl 0375.52002
Figiel, T.; Lindenstrauss, J.; Milman, V. D.
159
1977
New volume ratio properties for convex symmetric bodies in \({\mathbb{R}}^ n\). Zbl 0617.52006
Bourgain, J.; Milman, V. D.
155
1987
A topological application of the isoperimetric inequality. Zbl 0522.53039
Gromov, Mikhael; Milman, V. D.
153
1983
On the stability of motion in the presence of impulses. Zbl 1358.34022
Mil’man, V. D.; Myškis, A. D.
135
1960
Global versus local asymptotic theories of finite-dimensional normed spaces. Zbl 0911.52002
Milman, V. D.; Schechtman, G.
128
1997
The Santaló point of a function, and a functional form of the Santaló inequality. Zbl 1121.52021
Artstein-Avidan, S.; Klartag, B.; Milman, V.
87
2004
Geometry of log-concave functions and measures. Zbl 1099.28002
Klartag, B.; Milman, V. D.
77
2005
Approximation of zonoids by zonotopes. Zbl 0682.46008
Bourgain, J.; Lindenstrauss, J.; Milman, V.
77
1989
Generalization of the spherical isoperimetric inequality to uniformly convex Banach spaces. Zbl 0623.46007
Gromov, M.; Milman, V. D.
64
1987
The concept of duality in convex analysis, and the characterization of the Legendre transform. Zbl 1173.26008
Artstein-Avidan, Shiri; Milman, Vitali
55
2009
Extremal problems and isotropic positions of convex bodies. Zbl 0964.52004
Giannopoulos, A. A.; Milman, V. D.
50
2000
Entropy and asymptotic geometry of non-symmetric convex bodies. Zbl 0974.52004
Milman, V. D.; Pajor, A.
43
2000
Inégalité de Brunn-Minkowski inverse et applications à la théorie locale des espaces normés. (An inverse form of the Brunn-Minkowski inequality with applications to local theory of normed spaces). Zbl 0604.52003
Milman, Vitali D.
41
1986
Asymptotic infinite-dimensional theory of Banach spaces. Zbl 0872.46013
Maurey, B.; Milman, V. D.; Tomczak-Jaegermann, N.
40
1995
On type of metric spaces. Zbl 0617.46024
Bourgain, J.; Milman, V.; Wolfson, H.
39
1986
Averages of norms and quasi-norms. Zbl 0920.46006
Litvak, A. E.; Milman, V. D.; Schechtman, G.
37
1998
Euclidean structure in finite dimensional normed spaces. Zbl 1009.46004
Giannopoulos, Apostolos A.; Milman, Vitali D.
34
2001
The concept of duality for measure projections of convex bodies. Zbl 1145.26003
Artstein-Avidan, Shiri; Milman, Vitali
29
2008
The local theory of normed spaces and its applications to convexity. Zbl 0791.52003
Lindenstrauss, J.; Milman, V. D.
28
1993
Hidden structures in the class of convex functions and a new duality transform. Zbl 1221.26018
Artstein-Avidan, Shiri; Milman, Vitali
27
2011
Die geometrische Theorie der Banachräume. II: Die Geometrie der Einheitssphäre. (Geometric theory of Banach spaces. II: Geometry of the unit sphere). Zbl 0229.46017
Mil’man, V. D.
26
1971
Some properties of strictly singular operators. Zbl 0179.17801
Mil’man, V. D.
26
1969
Operators of class \(C_ 0\) and \(C_ 0^ *\). (Operatoren der Klasse \(C_ 0\) und \(C_ 0^ *\).) Zbl 0217.17201
Mil’man, V. D.
25
1970
Geometric theory of Banach spaces. II: Geometry of the unit sphere. Zbl 0238.46012
Mil’man, V. D.
25
1972
Geometric theory of Banach spaces. Part I: The theory of basis and minimal systems. Zbl 0221.46015
Mil’man, V. D.
24
1970
Unconditional and symmetric sets in \(n\)-dimensional normed spaces. Zbl 0445.46011
Amir, D.; Milman, V. D.
24
1980
Coordinate density of sets of vectors. Zbl 0401.05015
Karpovsky, M. G.; Milman, V. D.
24
1978
Functional analysis. An introduction. Zbl 1077.46001
Eidelman, Yuli; Milman, Vitali; Tsolomitis, Antonis
23
2004
Almost Euclidean quotient spaces of subspaces of a finite-dimensional normed space. Zbl 0581.46014
Milman, V. D.
23
1985
Better expanders and superconcentrators. Zbl 0641.68102
Alon, N.; Galil, Z.; Milman, V. D.
22
1987
Minkowski sums and symmetrizations. Zbl 0645.52001
Bourgain, J.; Lindenstrauss, J.; Milman, V. D.
22
1988
The heritage of P. Lévy in geometrical functional analysis. Zbl 0681.46021
Milman, V. D.
22
1988
Mixed integrals and related inequalities. Zbl 1267.26021
Milman, Vitali; Rotem, Liran
22
2013
Duality of metric entropy. Zbl 1072.52001
Artstein, S.; Milman, V.; Szarek, S. J.
21
2004
Concentration property on probability spaces. Zbl 1068.28002
Giannopoulos, A. A.; Milman, V. D.
21
2000
Asymptotic \(\ell_ p\) spaces and bounded distortions. Zbl 0822.46007
Milman, Vitali D.; Tomczak-Jaegermann, Nicole
21
1993
A characterization of the concept of duality. Zbl 1140.52300
Artstein-Avidan, Shiri; Milman, Vitali
20
2008
Symmetrization and isotropic constants of convex bodies. Zbl 1070.52002
Bourgain, J.; Klartag, B.; Milman, V.
19
2004
Isomorphic symmetrization and geometric inequalities. Zbl 0652.52008
Milman, V. D.
19
1988
Banach spaces with a weak cotype 2 property. Zbl 0611.46022
Milman, Vitali D.; Pisier, Gilles
19
1986
New proof of the theorem of A. Dvoretzky on intersections of convex bodies. Zbl 0239.46018
Mil’man, V. D.
18
1972
Asymptotic formulas for the diameter of sections of symmetric convex bodies. Zbl 1088.46006
Giannopoulos, Apostolos; Milman, Vitali D.; Tsolomitis, Antonis
17
2005
Embedding of \(\ell^ k_{\infty}\) in finite dimensional Banach spaces. Zbl 0546.46015
Alon, N.; Milman, V. D.
17
1983
Random subspaces of proportional dimension of finite dimensional normed spaces: Approach through the isoperimetric inequality. Zbl 0588.46013
Milman, V. D.
17
1985
Convex bodies with minimal mean width. Zbl 0978.52001
Giannopoulos, A. A.; Milman, V. D.; Rudelson, M.
16
2000
A remarkable measure preserving diffeomorphism between two convex bodies in \(\mathbb{R}^n\). Zbl 0927.52007
Alesker, S.; Dar, S.; Milman, V.
16
1999
Geometrization of probability. Zbl 1154.60022
Milman, Vitali D.
16
2008
The M-ellipsoid, symplectic capacities and volume. Zbl 1138.53060
Artstein-Avidan, Shiri; Milman, Vitali; Ostrover, Yaron
15
2008
Mean width and diameter of proportional sections of a symmetric convex body. Zbl 0896.52007
Giannopoulos, A. A.; Milman, V. D.
14
1998
A characterization of the support map. Zbl 1192.52004
Artstein-Avidan, S.; Milman, V.
14
2010
Rapid Steiner symmetrization of most of a convex body and the slicing problem. Zbl 1084.52003
Klartag, B.; Milman, V.
13
2005
Gaussian processes and mixed volumes. Zbl 0636.60036
Milman, V. D.; Pisier, G.
13
1987
On Hilbertian subsets of finite metric spaces. Zbl 0634.46008
Bourgain, J.; Figiel, T.; Milman, V.
12
1986
Estimates related to Steiner symmetrizations. Zbl 0673.52001
Bourgain, J.; Lindenstrauss, J.; Milman, V.
12
1989
On the diameter of proportional sections of a symmetric convex body. Zbl 0877.52009
Giannopoulos, A. A.; Milman, V. D.
12
1997
The chain rule as a functional equation. Zbl 1203.39014
Artstein-Avidan, Shiri; König, Hermann; Milman, Vitali
11
2010
Geometrical inequalities and mixed volumes in the local theory of Banach spaces. Zbl 0582.46015
Milman, V. D.
11
1985
Brunn theorem and a concentration of volume phenomena for symmetric convex bodies. Zbl 0953.52500
Gromov, M.; Milman, V. D.
11
1984
On a geometric inequality. Zbl 0653.46015
Bourgain, J.; Meyer, M.; Milman, V.; Pajor, A.
11
1988
A characterization of product preserving maps with applications to a characterization of the Fourier transform. Zbl 1272.42004
Alesker, S.; Artstein-Avidan, S.; Faifman, D.; Milman, V.
11
2010
Order isomorphisms on convex functions in windows. Zbl 1266.26021
Artstein-Avidan, Shiri; Florentin, Dan; Milman, Vitali
11
2012
Non-standard constructions in convex geometry: geometric means of convex bodies with an appendix by Alexander Magazinov. (Non-standard constructions in convex geometry: geometric means of convex bodies.) Zbl 1381.52006
Milman, Vitali; Rotem, Liran
10
2017
Geometric probability and random cotype 2. Zbl 1087.46006
Gluskin, E.; Milman, V.
10
2004
Characterizing the derivative and the entropy function by the Leibniz rule. Zbl 1231.39011
König, Hermann; Milman, Vitali
10
2011
Some applications of duality relations. Zbl 0818.46016
Milman, V.
10
1991
Sections euclidiennes et volume des corps symétriques convexes dans \(R^ n\). (Euclidean sections and volume of symmetric convex bodies in \(R^ n.)\). Zbl 0576.52002
Bourgain, Jean; Milman, Vitali D.
10
1985
The covering numbers and “low \(M^*\)-estimate” for quasi-convex bodies. Zbl 0948.52005
Litvak, A. E.; Milman, V. D.; Pajor, A.
10
1999
Asymptotic convex geometry – short overview. Zbl 1068.52011
Giannopoulos, A. A.; Milman, V. D.
9
2004
Regularization of star bodies by random hyperplane cut off. Zbl 1076.46008
Milman, V. D.; Pajor, A.
9
2003
Isomorphic Steiner symmetrization. Zbl 1034.52008
Klartag, B.; Milman, V. D.
9
2003
Topics in asymptotic geometric analysis. Special volume of the journal Geometric and Functional Analysis. Zbl 0996.46010
Milman, V.
9
2000
Asymptotic properties of functions of several variables defined on homogeneous spaces. Zbl 0236.26009
Mil’man, V. D.
8
1971
Geometric applications of Chernoff-type estimates and a zigzag approximation for balls. Zbl 1119.46012
Artstein-Avidan, S.; Friedland, O.; Milman, V.
8
2006
An “isomorphic” version of Dvoretzky’s theorem. II. Zbl 0942.46012
Milman, Vitali; Schechtman, Gideon
8
1999
On convexified packing and entropy duality. Zbl 1062.52023
Artstein, S.; Milman, V.; Szarek, S.; Tomczak-Jaegermann, N.
7
2004
Infinite-dimensional geometry of the unit sphere in Banach space. Zbl 0175.13201
Mil’man, V. D.
7
1967
The geometry of nested families with empty intersection. Structure of the unit sphere of a nonreflexive space. Zbl 0196.13501
Mil’man, D. P.; Mil’man, V. D.
7
1969
Spectrum of bounded continuous functions specified on a unit sphere in Banach space. Zbl 0203.45001
Mil’man, V. D.
7
1969
The distance between certain \(n\)-dimensional Banach spaces. Zbl 0475.46010
Davis, W. J.; Milman, V. D.; Tomczak-Jaegermann, Nicole
7
1981
An “isomorphic” version of Dvoretzky’s theorem. Zbl 0836.46007
Milman, Vitali D.; Schechtman, Gideon
7
1995
Dvoretzky’s theorem – thirty years later. Zbl 0787.46016
Milman, V.
7
1992
Minkowski spaces with extremal distance from the Euclidean space. Zbl 0374.46013
Milman, V. D.; Wolfson, H.
7
1978
\(\alpha\)-concave functions and a functional extension of mixed volumes. Zbl 1277.52011
Milman, Vitali; Rotem, Liran
7
2013
A note on a low \(M^*\)-estimate. Zbl 0760.46009
Milman, V.
6
1991
A new proof of the Maurey-Pisier theorem. Zbl 0418.46010
Milman, V. D.; Sharir, M.
6
1979
Dichotomie du cotype pour les espaces invariants. (Dichotomy of cotype for invariant spaces). Zbl 0584.43005
Bourgain, Jean; Milman, Vitali
6
1985
On the covering numbers of convex bodies. Zbl 0623.52008
König, Hermann; Milman, Vitali D.
6
1987
A few observations on the connections between local theory and some other fields. Zbl 0657.10020
Milman, V. D.
6
1988
Polynomial bounds for large Bernoulli sections of \(\ell_1^N\). Zbl 1160.60004
Artstein-Avidan, Shiri; Friedland, Omer; Milman, Vitali; Sodin, Sasha
6
2006
The dimension of almost spherical sections of convex bodies. Zbl 0329.52003
Figiel, T.; Lindenstrauss, J.; Milman, V. D.
6
1976
A characterization of the mixed discriminant. Zbl 1341.15004
Florentin, D.; Milman, V. D.; Schneider, R.
5
2016
Rigidity and stability of the Leibniz and the chain rule. Zbl 1301.39016
König, Hermann; Milman, Vitali
5
2013
Einige Eigenschaften nichtreflexiver Banachräume. Zbl 0125.34204
Mil’man, D. P.; Mil’man, V. D.
5
1964
Random shocks in linear dynamical systems. Zbl 0133.10403
Mil’man, V. D.; Myshkis, A. D.
5
1963
How small can the intersection of a few rotations of a symmetric convex body be? Zbl 0889.52003
Giannopoulos, Apostolos A.; Milman, Vitali D.
5
1997
Logarithmic reduction of the level of randomness in some probabilistic geometric constructions. Zbl 1111.52009
Artstein-Avidan, S.; Milman, V. D.
5
2006
The slicing problem by Bourgain. Zbl 07672489
Klartag, B.; Milman, V.
3
2022
Asymptotic geometric analysis. Part II. Zbl 1496.52001
Artstein-Avidan, Shiri; Giannopoulos, Apostolos; Milman, Vitali D.
4
2021
Reciprocals and flowers in convexity. Zbl 1460.52007
Milman, Emanuel; Milman, Vitali; Rotem, Liran
4
2020
Novel view on classical convexity theory. Zbl 1488.52006
Milman, Vitali; Rotem, Liran
1
2020
Weighted geometric means of convex bodies. Zbl 1430.52003
Milman, Vitali; Rotem, Liran
5
2019
“Irrational” constructions in convex geometry. Zbl 1394.52004
Milman, V.; Rotem, L.
3
2018
Operator relations characterizing derivatives. Zbl 1478.47001
König, Hermann; Milman, Vitali
2
2018
Tribute to Joe Diestel (1943–2017). Zbl 1398.01023
Aron, Richard; Dineen, Seán; Milman, Vitali; Enflo, Per; Curbera, Guillermo P.
1
2018
Non-standard constructions in convex geometry: geometric means of convex bodies with an appendix by Alexander Magazinov. (Non-standard constructions in convex geometry: geometric means of convex bodies.) Zbl 1381.52006
Milman, Vitali; Rotem, Liran
10
2017
Powers and logarithms of convex bodies. (Puissances et logarithmes de corps convexes.) Zbl 1380.52008
Milman, Vitali; Rotem, Liran
4
2017
A characterization of the mixed discriminant. Zbl 1341.15004
Florentin, D.; Milman, V. D.; Schneider, R.
5
2016
Asymptotic geometric analysis. I. Zbl 1337.52001
Artstein-Avidan, Shiri; Giannopoulos, Apostolos; Milman, Vitali D.
160
2015
Characterizing addition of convex sets by polynomiality of volume and by the homothety operation. Zbl 1316.52004
Milman, Vitali; Rotem, Liran
4
2015
Submultiplicative functions and operator inequalities. Zbl 1317.39034
König, Hermann; Milman, Vitali
2
2014
On the oscillation rigidity of a Lipschitz function on a high-dimensional flat torus. Zbl 1323.46010
Faifman, Dmitry; Klartag, Bo’az; Milman, Vitali
2
2014
The derivation equation for \(C^k\)-functions: stability and localization. Zbl 1308.39019
König, Hermann; Milman, Vitali
1
2014
Mixed integrals and related inequalities. Zbl 1267.26021
Milman, Vitali; Rotem, Liran
22
2013
\(\alpha\)-concave functions and a functional extension of mixed volumes. Zbl 1277.52011
Milman, Vitali; Rotem, Liran
7
2013
Rigidity and stability of the Leibniz and the chain rule. Zbl 1301.39016
König, Hermann; Milman, Vitali
5
2013
Operator functional equations in analysis. Zbl 1266.39024
König, Hermann; Milman, Vitali
3
2013
An operator equation characterizing the Laplacian. Zbl 1273.47035
König, H.; Milman, V.
2
2013
Asymptotic geometric analysis. Proceedings of the fall 2010 Fields Institute thematic program. Zbl 1262.00011
2
2013
A note on operator equations describing the integral. Zbl 1284.39023
König, H.; Milman, V.
1
2013
Stability results for some classical convexity operations. Zbl 1268.52007
Artstein-Avidan, Shiri; Milman, Vitali
1
2013
Order isomorphisms on convex functions in windows. Zbl 1266.26021
Artstein-Avidan, Shiri; Florentin, Dan; Milman, Vitali
11
2012
On multiplicative maps of continuous and smooth functions. Zbl 1267.39016
Artstein-Avidan, Shiri; Faifman, Dmitry; Milman, Vitali
5
2012
An operator equation generalizing the Leibniz rule for the second derivative. Zbl 1262.39031
König, Hermann; Milman, Vitali
5
2012
Hidden structures in the class of convex functions and a new duality transform. Zbl 1221.26018
Artstein-Avidan, Shiri; Milman, Vitali
27
2011
Characterizing the derivative and the entropy function by the Leibniz rule. Zbl 1231.39011
König, Hermann; Milman, Vitali
10
2011
A characterization of duality through section/projection correspondence in the finite dimensional setting. Zbl 1258.52002
Milman, Vitali D.; Segal, Alexander; Slomka, Boaz A.
4
2011
Order isomorphisms in windows. Zbl 1225.26023
Artstein-Avidan, Shiri; Florentin, Dan; Milman, Vitali
3
2011
Characterizing the mixed volume. Zbl 1242.52011
Milman, Vitali D.; Schneider, Rolf
3
2011
A functional equation characterizing the second derivative. Zbl 1226.39009
König, Hermann; Milman, Vitali
2
2011
A characterization of the support map. Zbl 1192.52004
Artstein-Avidan, S.; Milman, V.
14
2010
The chain rule as a functional equation. Zbl 1203.39014
Artstein-Avidan, Shiri; König, Hermann; Milman, Vitali
11
2010
A characterization of product preserving maps with applications to a characterization of the Fourier transform. Zbl 1272.42004
Alesker, S.; Artstein-Avidan, S.; Faifman, D.; Milman, V.
11
2010
Essentially-Euclidean convex bodies. Zbl 1200.46019
Litvak, Alexander E.; Milman, Vitali D.; Tomczak-Jaegermann, Nicole
2
2010
Visions in mathematics. GAFA 2000 special volume, Part II. Proceedings of the meeting “Visions in Mathematics – Towards 2000, Tel Aviv, Israel, August 25–September 3, 1999. Special volume of the journal Geometric and Functional Analysis – GAFA. Reprint of the 2000 original. Zbl 1185.00038
1
2010
The concept of duality in convex analysis, and the characterization of the Legendre transform. Zbl 1173.26008
Artstein-Avidan, Shiri; Milman, Vitali
55
2009
A characterization of the Fourier transform and related topics. Zbl 1184.42009
Alesker, Semyon; Artstein-Avidan, Shiri; Milman, Vitali
4
2009
The concept of duality for measure projections of convex bodies. Zbl 1145.26003
Artstein-Avidan, Shiri; Milman, Vitali
29
2008
A characterization of the concept of duality. Zbl 1140.52300
Artstein-Avidan, Shiri; Milman, Vitali
20
2008
Geometrization of probability. Zbl 1154.60022
Milman, Vitali D.
16
2008
The M-ellipsoid, symplectic capacities and volume. Zbl 1138.53060
Artstein-Avidan, Shiri; Milman, Vitali; Ostrover, Yaron
15
2008
A characterization of the Fourier transform and related topics. Zbl 1283.42008
Alesker, Semyon; Artstein-Avidan, Shiri; Milman, Vitali
4
2008
A new duality transform. Zbl 1171.26007
Artstein-Avidan, Shiri; Milman, Vitali
3
2008
Using Rademacher permutations to reduce randomness. Zbl 1131.60004
Artstein-Avidan, S.; Milman, V. D.
1
2008
Geometric applications of Chernoff-type estimates. Zbl 1146.46004
Artstein-Avidan, S.; Friedland, O.; Milman, V.
4
2007
On the Euclidean metric entropy of convex bodies. Zbl 1132.52006
Litvak, A. E.; Milman, V. D.; Pajor, A.; Tomczak-Jaegermann, N.
3
2007
Geometric applications of Chernoff-type estimates and a zigzag approximation for balls. Zbl 1119.46012
Artstein-Avidan, S.; Friedland, O.; Milman, V.
8
2006
Polynomial bounds for large Bernoulli sections of \(\ell_1^N\). Zbl 1160.60004
Artstein-Avidan, Shiri; Friedland, Omer; Milman, Vitali; Sodin, Sasha
6
2006
Logarithmic reduction of the level of randomness in some probabilistic geometric constructions. Zbl 1111.52009
Artstein-Avidan, S.; Milman, V. D.
5
2006
Entropy extension. Zbl 1118.52014
Litvak, A. E.; Milman, V. D.; Pajor, A.; Tomczak-Jaegermann, N.
1
2006
Geometry of log-concave functions and measures. Zbl 1099.28002
Klartag, B.; Milman, V. D.
77
2005
Asymptotic formulas for the diameter of sections of symmetric convex bodies. Zbl 1088.46006
Giannopoulos, Apostolos; Milman, Vitali D.; Tsolomitis, Antonis
17
2005
Rapid Steiner symmetrization of most of a convex body and the slicing problem. Zbl 1084.52003
Klartag, B.; Milman, V.
13
2005
The Santaló point of a function, and a functional form of the Santaló inequality. Zbl 1121.52021
Artstein-Avidan, S.; Klartag, B.; Milman, V.
87
2004
Functional analysis. An introduction. Zbl 1077.46001
Eidelman, Yuli; Milman, Vitali; Tsolomitis, Antonis
23
2004
Duality of metric entropy. Zbl 1072.52001
Artstein, S.; Milman, V.; Szarek, S. J.
21
2004
Symmetrization and isotropic constants of convex bodies. Zbl 1070.52002
Bourgain, J.; Klartag, B.; Milman, V.
19
2004
Geometric probability and random cotype 2. Zbl 1087.46006
Gluskin, E.; Milman, V.
10
2004
Asymptotic convex geometry – short overview. Zbl 1068.52011
Giannopoulos, A. A.; Milman, V. D.
9
2004
On convexified packing and entropy duality. Zbl 1062.52023
Artstein, S.; Milman, V.; Szarek, S.; Tomczak-Jaegermann, N.
7
2004
Isomorphic random subspaces and quotients of convex and quasi-convex bodies. Zbl 1071.52007
Litvak, A. E.; Milman, V. D.; Tomczak-Jaegermann, N.
2
2004
When random proportional subspaces are also random quotients. Zbl 1088.46008
Litvak, Alexander E.; Milman, Vitali D.; Tomczak-Jaegermann, Nicole
1
2004
Geometric aspects of functional analysis. Papers from the Israel seminar (GAFA) 2002–2003. Zbl 1052.46001
1
2004
Essential uniqueness of an M-ellipsoid of a given convex body. Zbl 1067.52005
Milman, V. D.; Pajor, A.
1
2004
Regularization of star bodies by random hyperplane cut off. Zbl 1076.46008
Milman, V. D.; Pajor, A.
9
2003
Isomorphic Steiner symmetrization. Zbl 1034.52008
Klartag, B.; Milman, V. D.
9
2003
Note on the geometric-arithmetic mean inequality. Zbl 1035.26020
Gluskin, E.; Milman, V.
5
2003
A reduction of the slicing problem to finite volume ratio bodies. Zbl 1036.52005
Bourgain, Jean; Klartag, Bo’az; Milman, Vitali
5
2003
Some remarks on a lemma of Ran Raz. Zbl 1070.46009
Milman, Vitali; Wagner, Roy
2
2003
Duality of metric entropy in Euclidean space. Zbl 1042.52002
Artstein, Shiri; Milman, Vitali D.; Szarek, Stanislaw J.
2
2003
Geometric aspects of functional analysis. Proceedings of the Israel seminar (GAFA) 2001–2002. Zbl 1009.00019
2
2003
Phenomena that occur in high dimensions. Zbl 1079.46005
Mil’man, V. D.
1
2003
More on the duality conjecture for entropy numbers. Zbl 1042.52001
Artstein, Shiri; Milman, Vitali D.; Szarek, Stanislaw J.
1
2003
Randomizing properties of convex high-dimensional bodies and some geometric inequalities. Zbl 1019.46009
Gluskin, Efim; Milman, Vitali
2
2002
Euclidean structure in finite dimensional normed spaces. Zbl 1009.46004
Giannopoulos, Apostolos A.; Milman, Vitali D.
34
2001
A geometric approach to duality of metric entropy. Zbl 0983.46013
Milman, Vitali D.; Szarek, Stanislaw J.
1
2001
Extremal problems and isotropic positions of convex bodies. Zbl 0964.52004
Giannopoulos, A. A.; Milman, V. D.
50
2000
Entropy and asymptotic geometry of non-symmetric convex bodies. Zbl 0974.52004
Milman, V. D.; Pajor, A.
43
2000
Concentration property on probability spaces. Zbl 1068.28002
Giannopoulos, A. A.; Milman, V. D.
21
2000
Convex bodies with minimal mean width. Zbl 0978.52001
Giannopoulos, A. A.; Milman, V. D.; Rudelson, M.
16
2000
Topics in asymptotic geometric analysis. Special volume of the journal Geometric and Functional Analysis. Zbl 0996.46010
Milman, V.
9
2000
A geometric lemma and duality of entropy numbers. Zbl 0987.46017
Milman, V. D.; Szarek, S. J.
5
2000
Stabilized asymptotic structures and envelopes in Banach spaces. Zbl 0987.46025
Milman, V. D.; Tomczak-Jaegermann, N.
1
2000
GAFA 2000. Visions in mathematics—Towards 2000. Proceedings of a meeting, Tel Aviv, Israel, August 25–September 3, 1999. Part II. Special volume of the journal Geometric and Functional Analysis. Zbl 0960.00035
1
2000
A remarkable measure preserving diffeomorphism between two convex bodies in \(\mathbb{R}^n\). Zbl 0927.52007
Alesker, S.; Dar, S.; Milman, V.
16
1999
The covering numbers and “low \(M^*\)-estimate” for quasi-convex bodies. Zbl 0948.52005
Litvak, A. E.; Milman, V. D.; Pajor, A.
10
1999
An “isomorphic” version of Dvoretzky’s theorem. II. Zbl 0942.46012
Milman, Vitali; Schechtman, Gideon
8
1999
Asymptotic versions of operators and operator ideals. Zbl 0932.47051
Milman, Vitali; Wagner, Roy
2
1999
Entropy methods in asymptotic convex geometry. Zbl 0964.52006
Milman, Vitali; Pajor, Alain
1
1999
Averages of norms and quasi-norms. Zbl 0920.46006
Litvak, A. E.; Milman, V. D.; Schechtman, G.
37
1998
Mean width and diameter of proportional sections of a symmetric convex body. Zbl 0896.52007
Giannopoulos, A. A.; Milman, V. D.
14
1998
Surprising geometric phenomena in high-dimensional convexity theory. Zbl 0938.52006
Milman, V.
3
1998
Randomness and pattern in convex geometric analysis. Zbl 0911.52003
Milman, Vitali
3
1998
Global versus local asymptotic theories of finite-dimensional normed spaces. Zbl 0911.52002
Milman, V. D.; Schechtman, G.
128
1997
On the diameter of proportional sections of a symmetric convex body. Zbl 0877.52009
Giannopoulos, A. A.; Milman, V. D.
12
1997
How small can the intersection of a few rotations of a symmetric convex body be? Zbl 0889.52003
Giannopoulos, Apostolos A.; Milman, Vitali D.
5
1997
Averages of norms and behavior of families of projective caps on the sphere. Zbl 0891.52002
Litvak, A. E.; Milman, V. D.; Schechtman, G.
1
1997
...and 83 more Documents
all top 5

Cited by 2,183 Authors

68 Milman, Vitali D.
37 Naor, Assaf
35 Tomczak-Jaegermann, Nicole
33 Artstein-Avidan, Shiri
32 Paouris, Grigoris
30 Klartag, Bo’az
29 Mendelson, Shahar
25 Alonso-Gutiérrez, David
25 Bobkov, Sergey Germanovich
24 Giannopoulos, Apostolos A.
24 Prochno, Joscha
23 Pajor, Alain
22 Milman, Emanuel
22 Werner, Elisabeth M.
21 Litvak, Aleksandr Evgen’evich
20 Bainov, Drumi Dimitrov
20 Bourgain, Jean
19 Alon, Noga
19 Fradelizi, Matthieu
19 Zvavitch, Artem
18 Guédon, Olivier
18 König, Hermann
18 Schlumprecht, Thomas
18 Szarek, Stanislaw Jerzy
17 Schechtman, Gideon
16 Henk, Martin
16 Rotem, Liran
16 Temlyakov, Vladimir Nikolaevich
16 Vershynin, Roman
15 Meyer, Mathieu
14 Brazitikos, Silouanos
14 Huang, Qingzhong
14 Koldobsky, Alexander L.
14 Li, Aijun
13 Xiong, Ge
12 González Merino, Bernardo
12 Mendel, Manor
12 Schütt, Carsten
11 Barthe, Franck
11 Böröczky, Karoly jun.
11 Dilworth, Stephen J.
11 Funano, Kei
11 Motakis, Pavlos
11 Odell, Edward
11 Pestov, Vladimir G.
11 Pivovarov, Peter
11 Rudelson, Mark
11 Slomka, Boaz A.
11 Thäle, Christoph
11 Valettas, Petros
10 Astashkin, Sergeĭ Vladimir
10 Bastero, Jesús
10 Johnson, William Buhmann
10 Tikhomirov, Konstantin E.
10 Villa, Rafael
10 Ye, Deping
9 Argyros, Spiros A.
9 Hinrichs, Aicke
9 Leng, Gangsong
9 Segal, Alexander
9 Tsolomitis, Antonis
8 Adamczak, Radosław
8 Aubrun, Guillaume
8 Ball, Keith Martin
8 Colesanti, Andrea
8 Eskenazis, Alexandros
8 Götze, Friedrich
8 Madiman, Mokshay M.
8 Mohar, Bojan
8 Naszódi, Márton
8 Pisier, Gilles
8 Schneider, Friedrich Martin
8 Shioya, Takashi
8 Tkocz, Tomasz
8 Zhang, Gaoyong
7 Bollobás, Béla
7 Carl, Bernd
7 Causey, Ryan Michael
7 Chasapis, Giorgos
7 Dafnis, Nikos
7 Dai, Feng
7 Gordon, Yehoram
7 Hájek, Petr
7 He, Binwu
7 Huang, Han
7 Jiménez, Carlos Hugo
7 Kabluchko, Zakhar A.
7 Kolesnikov, Alexander V.
7 Kushpel, Alexander K.
7 Kutzarova, Denka N.
7 Ledoux, Michel
7 Lee, James R.
7 Li, Hanfeng
7 Lindenstrauss, Joram
7 Lopez-Abad, Jordi
7 Ludwig, Monika
7 Matoušek, Jiří
7 Ouahab, Abdelghani
7 Schmuckenschläger, Michael
7 Tradacete Pérez, Pedro
...and 2,083 more Authors
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Cited in 408 Serials

132 Israel Journal of Mathematics
128 Journal of Functional Analysis
97 Advances in Mathematics
91 Journal of Mathematical Analysis and Applications
82 Proceedings of the American Mathematical Society
48 Transactions of the American Mathematical Society
40 Discrete & Computational Geometry
30 The Annals of Probability
30 The Journal of Geometric Analysis
29 Geometric and Functional Analysis. GAFA
26 Geometriae Dedicata
24 Probability Theory and Related Fields
24 Linear Algebra and its Applications
24 Communications in Contemporary Mathematics
23 Discrete Mathematics
22 Mathematika
22 Advances in Applied Mathematics
20 Communications in Mathematical Physics
20 Comptes Rendus. Mathématique. Académie des Sciences, Paris
19 Applied Mathematics and Computation
19 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
18 Inventiones Mathematicae
16 Studia Mathematica
16 Journal of Approximation Theory
16 Mathematische Annalen
16 Combinatorica
16 Journal of Theoretical Probability
16 Calculus of Variations and Partial Differential Equations
16 Positivity
15 Duke Mathematical Journal
14 Archiv der Mathematik
14 Compositio Mathematica
14 European Journal of Combinatorics
14 Journal of Complexity
13 Bulletin of the American Mathematical Society. New Series
12 Constructive Approximation
12 Combinatorics, Probability and Computing
12 Advances in Geometry
11 Journal of Combinatorial Theory. Series A
11 Journal of Inequalities and Applications
11 Journal of the European Mathematical Society (JEMS)
10 Journal of Mathematical Physics
10 Bulletin of the London Mathematical Society
10 Functional Analysis and its Applications
10 Journal of Mathematical Sciences (New York)
9 Discrete Applied Mathematics
9 Acta Mathematica
9 Graphs and Combinatorics
9 Journal of the American Mathematical Society
9 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
9 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
9 St. Petersburg Mathematical Journal
9 Electronic Journal of Probability
8 Mathematical Proceedings of the Cambridge Philosophical Society
8 Annales de l’Institut Fourier
8 Mathematische Zeitschrift
8 Theoretical Computer Science
7 Information Processing Letters
7 Mathematical Notes
7 Manuscripta Mathematica
7 Monatshefte für Mathematik
7 SIAM Journal on Discrete Mathematics
7 Random Structures & Algorithms
7 Mathematical Programming. Series A. Series B
7 Geometry & Topology
7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Journal of Combinatorial Theory. Series B
6 Journal of Computational and Applied Mathematics
6 Journal of the London Mathematical Society. Second Series
6 Mathematische Nachrichten
6 Memoirs of the American Mathematical Society
6 Results in Mathematics
6 SIAM Journal on Optimization
6 The Electronic Journal of Combinatorics
6 Journal of Convex Analysis
6 Bernoulli
6 The Journal of Fourier Analysis and Applications
6 Nonlinear Analysis. Real World Applications
6 Mediterranean Journal of Mathematics
5 Computers & Mathematics with Applications
5 Journal d’Analyse Mathématique
5 Journal of Statistical Physics
5 Mathematical Methods in the Applied Sciences
5 Automatica
5 Journal of the Mathematical Society of Japan
5 Journal of Soviet Mathematics
5 Quaestiones Mathematicae
5 SIAM Journal on Computing
5 Ergodic Theory and Dynamical Systems
5 Algorithmica
5 Neural Networks
5 The Annals of Applied Probability
5 Stochastic Processes and their Applications
5 Applied and Computational Harmonic Analysis
5 Acta Mathematica Sinica. English Series
5 Journal of Machine Learning Research (JMLR)
5 Forum of Mathematics, Sigma
5 Journal of Function Spaces
5 Bulletin of the Hellenic Mathematical Society
...and 308 more Serials
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Cited in 59 Fields

700 Convex and discrete geometry (52-XX)
656 Functional analysis (46-XX)
397 Probability theory and stochastic processes (60-XX)
328 Combinatorics (05-XX)
200 Operator theory (47-XX)
142 Real functions (26-XX)
133 Differential geometry (53-XX)
127 Ordinary differential equations (34-XX)
125 Computer science (68-XX)
80 Measure and integration (28-XX)
78 Information and communication theory, circuits (94-XX)
77 Linear and multilinear algebra; matrix theory (15-XX)
70 Partial differential equations (35-XX)
67 Calculus of variations and optimal control; optimization (49-XX)
65 Approximations and expansions (41-XX)
59 Harmonic analysis on Euclidean spaces (42-XX)
57 General topology (54-XX)
55 Dynamical systems and ergodic theory (37-XX)
55 Geometry (51-XX)
54 Statistics (62-XX)
52 Numerical analysis (65-XX)
52 Operations research, mathematical programming (90-XX)
51 Quantum theory (81-XX)
46 Global analysis, analysis on manifolds (58-XX)
44 Abstract harmonic analysis (43-XX)
43 Number theory (11-XX)
42 Topological groups, Lie groups (22-XX)
38 Group theory and generalizations (20-XX)
34 Difference and functional equations (39-XX)
32 Statistical mechanics, structure of matter (82-XX)
24 Mathematical logic and foundations (03-XX)
22 Manifolds and cell complexes (57-XX)
20 Functions of a complex variable (30-XX)
20 Several complex variables and analytic spaces (32-XX)
19 Biology and other natural sciences (92-XX)
18 Order, lattices, ordered algebraic structures (06-XX)
18 Algebraic topology (55-XX)
18 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
18 Systems theory; control (93-XX)
15 Algebraic geometry (14-XX)
14 General and overarching topics; collections (00-XX)
14 Integral transforms, operational calculus (44-XX)
8 History and biography (01-XX)
7 Integral equations (45-XX)
5 Potential theory (31-XX)
5 Mechanics of particles and systems (70-XX)
5 Mechanics of deformable solids (74-XX)
4 Special functions (33-XX)
3 Field theory and polynomials (12-XX)
2 Commutative algebra (13-XX)
2 Nonassociative rings and algebras (17-XX)
2 Category theory; homological algebra (18-XX)
2 Sequences, series, summability (40-XX)
2 Fluid mechanics (76-XX)
1 Associative rings and algebras (16-XX)
1 \(K\)-theory (19-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Relativity and gravitational theory (83-XX)
1 Mathematics education (97-XX)

Citations by Year

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