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Author ID: ball.keith-m Recent zbMATH articles by "Ball, Keith Martin"
Published as: Ball, Keith; Ball, Keith M.; Ball, K.; Ball, K. M.
Homepage: https://warwick.ac.uk/fac/sci/maths/people/staff/keith_ball/
External Links: MGP · Wikidata · dblp · GND · IdRef
Documents Indexed: 49 Publications since 1986, including 1 Book and 2 Additional arXiv Preprints
5 Contributions as Editor
Biographic References: 1 Publication
Co-Authors: 31 Co-Authors with 25 Joint Publications
752 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 1,533 times in 1,198 Documents Cited by Year
An elementary introduction to modern convex geometry. Zbl 0901.52002
Ball, Keith
154
1997
Sharp uniform convexity and smoothness inequalities for trace norms. Zbl 0803.47037
Ball, Keith; Carlen, Eric A.; Lieb, Elliott H.
150
1994
Volume ratios and a reverse isoperimetric inequality. Zbl 0694.46010
Ball, K. M.
124
1991
Logarithmically concave functions and sections of convex sets in \({\mathbb{R}}^ n\). Zbl 0642.52011
Ball, Keith
106
1988
Irrationality of infinitely many values of the zeta function at odd integers. (Irrationalité d’une infinité de valeurs de la fonction zêta aux entiers impairs.) Zbl 1058.11051
Ball, Keith; Rivoal, Tanguy
91
2001
Cube slicing in \({\mathbb{R}}^ n\). Zbl 0601.52005
Ball, Keith
78
1986
Ellipsoids of maximal volume in convex bodies. Zbl 0747.52007
Ball, Keith
67
1992
Shadows of convex bodies. Zbl 0746.52007
Ball, Keith
62
1991
The central limit problem for convex bodies. Zbl 1033.52003
Anttila, Milla; Ball, Keith; Perissinaki, Irini
62
2003
Markov chains, Riesz transforms and Lipschitz maps. Zbl 0788.46050
Ball, K.
54
1992
Volumes of sections of cubes and related problems. Zbl 0674.46008
Ball, Keith
49
1989
Solution of Shannon’s problem on the monotonicity of entropy. Zbl 1062.94006
Artstein, Shiri; Ball, Keith M.; Barthe, Franck; Naor, Assaf
48
2004
Convex geometry and functional analysis. Zbl 1017.46004
Ball, Keith
30
2001
The complex plank problem. Zbl 1030.46008
Ball, Keith M.
30
2001
The plank problem for symmetric bodies. Zbl 0702.52003
Ball, Keith
29
1991
The reverse isoperimetric problem for Gaussian measure. Zbl 0788.52010
Ball, Keith
29
1993
Normed spaces with a weak-Gordon-Lewis property. Zbl 0762.46004
Ball, Keith
25
1991
Entropy jumps in the presence of a spectral gap. Zbl 1036.94003
Ball, Keith; Barthe, Franck; Naor, Assaf
25
2003
A lower bound for the optimal density of lattice packings. Zbl 0776.52006
Ball, Keith
23
1992
On the rate of convergence in the entropic central limit theorem. Zbl 1055.94004
Artstein, Shiri; Ball, Keith M.; Barthe, Franck; Naor, Assaf
23
2004
Eigenvalues of euclidean distance matrices. Zbl 0746.41002
Ball, Keith
23
1992
The entropy of convex bodies with ”few” extreme points. Zbl 0746.60005
Ball, Keith; Pajor, Alain
19
1991
The Ribe programme. Zbl 1303.46019
Ball, Keith
19
2013
Concentration of the distance in finite-dimensional normed spaces. Zbl 0956.46009
Arias-de-Reyna, Juan; Ball, Keith; Villa, Rafael
18
1998
Isometric embedding in \(\ell_ p\)-spaces. Zbl 0712.46008
Ball, Keith
18
1990
Stability of some versions of the Prékopa-Leindler inequality. Zbl 1217.60014
Ball, Keith M.; Böröczky, Károly J.
16
2011
Stability of the Prékopa-Leindler inequality. Zbl 1205.39024
Ball, Keith M.; Böröczky, Károly jun.
16
2010
The subindependence of coordinate slabs in \(l_p^n\) balls. Zbl 0918.60013
Ball, Keith; Perissinaki, Irini
15
1998
Entropy jumps for isotropic log-concave random vectors and spectral gap. Zbl 1264.94077
Ball, Keith; Nguyen, Van Hoang
15
2012
Completely monotonic rational functions and Hall’s marriage theorem. Zbl 0868.26009
Ball, Keith
14
1994
Chebyshev constants for the unit circle. Zbl 1276.30013
Ambrus, Gergely; Ball, Keith M.; Erdélyi, Tamás
14
2013
Some remarks on the geometry of convex sets. Zbl 0651.52010
Ball, Keith
13
1988
On the sensitivity of radial basis interpolation to minimal data separation distance. Zbl 0771.41001
Ball, K.; Sivakumar, N.; Ward, J. D.
13
1992
Convex bodies with few faces. Zbl 0704.52003
Ball, Keith; Pajor, Alain
12
1990
Mahler’s conjecture and wavelets. Zbl 0824.52005
Ball, K.
11
1995
\(L^1\)-smoothing for the Ornstein-Uhlenbeck semigroup. Zbl 1267.47066
Ball, K.; Barthe, F.; Bednorz, W.; Oleszkiewicz, K.; Wolff, P.
9
2013
A reverse entropy power inequality for log-concave random vectors. Zbl 1407.94055
Ball, Keith; Nayar, Piotr; Tkocz, Tomasz
8
2016
Inequalities and sphere-packing in \(\ell _ p\). Zbl 0642.46021
Ball, Keith
6
1987
An elementary introduction to monotone transportation. Zbl 1139.49303
Ball, K.
6
2004
Strange curves, counting rabbits, and other mathematical explorations. Zbl 1094.00002
Ball, Keith
4
2003
A sharp combinatorial version of Vaaler’s theorem. Zbl 1250.52008
Ball, K. M.; Prodromou, M.
3
2009
Rational approximations to the zeta function. Zbl 1472.11225
Ball, Keith
1
2019
The legacy of Jean Bourgain in geometric functional analysis. Zbl 1471.46010
Ball, Keith
1
2021
The legacy of Jean Bourgain in geometric functional analysis. Zbl 1471.46010
Ball, Keith
1
2021
Rational approximations to the zeta function. Zbl 1472.11225
Ball, Keith
1
2019
A reverse entropy power inequality for log-concave random vectors. Zbl 1407.94055
Ball, Keith; Nayar, Piotr; Tkocz, Tomasz
8
2016
The Ribe programme. Zbl 1303.46019
Ball, Keith
19
2013
Chebyshev constants for the unit circle. Zbl 1276.30013
Ambrus, Gergely; Ball, Keith M.; Erdélyi, Tamás
14
2013
\(L^1\)-smoothing for the Ornstein-Uhlenbeck semigroup. Zbl 1267.47066
Ball, K.; Barthe, F.; Bednorz, W.; Oleszkiewicz, K.; Wolff, P.
9
2013
Entropy jumps for isotropic log-concave random vectors and spectral gap. Zbl 1264.94077
Ball, Keith; Nguyen, Van Hoang
15
2012
Stability of some versions of the Prékopa-Leindler inequality. Zbl 1217.60014
Ball, Keith M.; Böröczky, Károly J.
16
2011
Stability of the Prékopa-Leindler inequality. Zbl 1205.39024
Ball, Keith M.; Böröczky, Károly jun.
16
2010
A sharp combinatorial version of Vaaler’s theorem. Zbl 1250.52008
Ball, K. M.; Prodromou, M.
3
2009
Solution of Shannon’s problem on the monotonicity of entropy. Zbl 1062.94006
Artstein, Shiri; Ball, Keith M.; Barthe, Franck; Naor, Assaf
48
2004
On the rate of convergence in the entropic central limit theorem. Zbl 1055.94004
Artstein, Shiri; Ball, Keith M.; Barthe, Franck; Naor, Assaf
23
2004
An elementary introduction to monotone transportation. Zbl 1139.49303
Ball, K.
6
2004
The central limit problem for convex bodies. Zbl 1033.52003
Anttila, Milla; Ball, Keith; Perissinaki, Irini
62
2003
Entropy jumps in the presence of a spectral gap. Zbl 1036.94003
Ball, Keith; Barthe, Franck; Naor, Assaf
25
2003
Strange curves, counting rabbits, and other mathematical explorations. Zbl 1094.00002
Ball, Keith
4
2003
Irrationality of infinitely many values of the zeta function at odd integers. (Irrationalité d’une infinité de valeurs de la fonction zêta aux entiers impairs.) Zbl 1058.11051
Ball, Keith; Rivoal, Tanguy
91
2001
Convex geometry and functional analysis. Zbl 1017.46004
Ball, Keith
30
2001
The complex plank problem. Zbl 1030.46008
Ball, Keith M.
30
2001
Concentration of the distance in finite-dimensional normed spaces. Zbl 0956.46009
Arias-de-Reyna, Juan; Ball, Keith; Villa, Rafael
18
1998
The subindependence of coordinate slabs in \(l_p^n\) balls. Zbl 0918.60013
Ball, Keith; Perissinaki, Irini
15
1998
An elementary introduction to modern convex geometry. Zbl 0901.52002
Ball, Keith
154
1997
Mahler’s conjecture and wavelets. Zbl 0824.52005
Ball, K.
11
1995
Sharp uniform convexity and smoothness inequalities for trace norms. Zbl 0803.47037
Ball, Keith; Carlen, Eric A.; Lieb, Elliott H.
150
1994
Completely monotonic rational functions and Hall’s marriage theorem. Zbl 0868.26009
Ball, Keith
14
1994
The reverse isoperimetric problem for Gaussian measure. Zbl 0788.52010
Ball, Keith
29
1993
Ellipsoids of maximal volume in convex bodies. Zbl 0747.52007
Ball, Keith
67
1992
Markov chains, Riesz transforms and Lipschitz maps. Zbl 0788.46050
Ball, K.
54
1992
A lower bound for the optimal density of lattice packings. Zbl 0776.52006
Ball, Keith
23
1992
Eigenvalues of euclidean distance matrices. Zbl 0746.41002
Ball, Keith
23
1992
On the sensitivity of radial basis interpolation to minimal data separation distance. Zbl 0771.41001
Ball, K.; Sivakumar, N.; Ward, J. D.
13
1992
Volume ratios and a reverse isoperimetric inequality. Zbl 0694.46010
Ball, K. M.
124
1991
Shadows of convex bodies. Zbl 0746.52007
Ball, Keith
62
1991
The plank problem for symmetric bodies. Zbl 0702.52003
Ball, Keith
29
1991
Normed spaces with a weak-Gordon-Lewis property. Zbl 0762.46004
Ball, Keith
25
1991
The entropy of convex bodies with ”few” extreme points. Zbl 0746.60005
Ball, Keith; Pajor, Alain
19
1991
Isometric embedding in \(\ell_ p\)-spaces. Zbl 0712.46008
Ball, Keith
18
1990
Convex bodies with few faces. Zbl 0704.52003
Ball, Keith; Pajor, Alain
12
1990
Volumes of sections of cubes and related problems. Zbl 0674.46008
Ball, Keith
49
1989
Logarithmically concave functions and sections of convex sets in \({\mathbb{R}}^ n\). Zbl 0642.52011
Ball, Keith
106
1988
Some remarks on the geometry of convex sets. Zbl 0651.52010
Ball, Keith
13
1988
Inequalities and sphere-packing in \(\ell _ p\). Zbl 0642.46021
Ball, Keith
6
1987
Cube slicing in \({\mathbb{R}}^ n\). Zbl 0601.52005
Ball, Keith
78
1986
all top 5

Cited by 1,332 Authors

37 Naor, Assaf
23 Bobkov, Sergey Germanovich
23 Paouris, Grigoris
21 Li, Aijun
19 Huang, Qingzhong
18 Alonso-Gutiérrez, David
17 Koldobsky, Alexander L.
16 Fischler, Stéphane
16 Rivoal, Tanguy
15 Giannopoulos, Apostolos A.
15 Klartag, Bo’az
15 Leng, Gangsong
14 Böröczky, Karoly jun.
14 Xiong, Ge
14 Zvavitch, Artem
13 Götze, Friedrich
12 Chistyakov, Gennadiy Petrovych
12 Naszódi, Márton
11 Barthe, Franck
11 Madiman, Mokshay M.
11 Tkocz, Tomasz
11 Zudilin, Wadim
10 Ball, Keith Martin
10 Prochno, Joscha
9 Fradelizi, Matthieu
9 Lee, James R.
9 Milman, Emanuel
8 Artstein-Avidan, Shiri
8 Bezdek, Károly
8 González Merino, Bernardo
8 Livshyts, Galyna V.
8 Schechtman, Gideon
8 Thäle, Christoph
7 Ambrus, Gergely
7 Carlen, Eric Anders
7 Cordero-Erausquin, Dario
7 Fang, Niufa
7 Guédon, Olivier
7 He, Binwu
7 Henk, Martin
7 Hug, Daniel
7 Ivanov, Grigory M.
7 Kumam, Poom
7 Peres, Yuval
6 Bastero, Jesús
6 Brazitikos, Silouanos
6 Campi, Stefano
6 Chasapis, Giorgos
6 de Gosson, Maurice Alexis
6 Eldan, Ronen
6 Jiménez, Carlos Hugo
6 König, Hermann
6 Lehec, Joseph
6 Mendel, Manor
6 Mendelson, Shahar
6 Meyer, Mathieu
6 Milman, Vitali D.
6 Ohta, Shin-ichi
6 Pajor, Alain
6 Pivovarov, Peter
6 Roberto, Cyril
6 Schütt, Carsten
6 Werner, Elisabeth M.
6 Xi, Dongmeng
6 Zou, Du
5 Bernués, Julio
5 Fodor, Ferenc
5 Gao, Fuchang
5 Gorban, Alexander N.
5 Gronchi, Paolo
5 Mewomo, Oluwatosin Temitope
5 Müller, Vladimír
5 Nourdin, Ivan
5 Peccati, Giovanni
5 Pinasco, Damián
5 Saff, Edward Barry
5 Tyukin, Ivan Yu.
5 Valettas, Petros
5 Vritsiou, Beatrice-Helen
5 Zhao, Changjian
5 Zorich, Vladimir Antonovich
4 Bárány, Imre
4 Dafnis, Nikos
4 Dixit, Atul
4 Edmunds, David Eric
4 Eskenazis, Alexandros
4 Fleury, Bernard Henri
4 Fragalà, Ilaria
4 Guzmán, Cristóbal
4 Hardin, Douglas P.
4 Hernández Cifre, María A.
4 Hinrichs, Aicke
4 Hu, Jiaqi
4 Ivaki, Mohammad N.
4 Johnson, William Buhmann
4 Karasev, Roman N.
4 Kontoyiannis, Ioannis
4 Ledoux, Michel
4 Lieb, Elliott Hershel
4 Litvak, Aleksandr Evgen’evich
...and 1,232 more Authors
all top 5

Cited in 314 Serials

56 Advances in Mathematics
49 Proceedings of the American Mathematical Society
46 Journal of Functional Analysis
44 Journal of Mathematical Analysis and Applications
40 Israel Journal of Mathematics
34 Discrete & Computational Geometry
27 Mathematika
22 Transactions of the American Mathematical Society
21 The Annals of Probability
21 The Journal of Geometric Analysis
19 Advances in Applied Mathematics
15 Probability Theory and Related Fields
15 Geometric and Functional Analysis. GAFA
14 Geometriae Dedicata
11 Journal of Mathematical Sciences (New York)
10 Journal of Approximation Theory
10 Mathematische Annalen
10 Mathematische Zeitschrift
10 Journal of Theoretical Probability
10 Mathematical Programming. Series A. Series B
9 Monatshefte für Mathematik
9 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
9 Calculus of Variations and Partial Differential Equations
8 Communications in Mathematical Physics
8 Discrete Mathematics
8 Archiv der Mathematik
8 Journal of the London Mathematical Society. Second Series
8 Abstract and Applied Analysis
8 Journal of Inequalities and Applications
8 Journal of the European Mathematical Society (JEMS)
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 Mathematical Notes
7 Duke Mathematical Journal
7 Journal of Number Theory
7 Bulletin of the American Mathematical Society. New Series
7 Journal de Théorie des Nombres de Bordeaux
6 Journal of Mathematical Physics
6 Studia Mathematica
6 Bulletin of the London Mathematical Society
6 Mathematische Nachrichten
6 SIAM Journal on Computing
6 Journal of Complexity
6 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
6 Electronic Journal of Probability
6 Mathematical Inequalities & Applications
6 International Journal of Number Theory
6 Analysis and Geometry in Metric Spaces
5 Annales de l’Institut Fourier
5 The Annals of Statistics
5 Compositio Mathematica
5 Journal of Computational and Applied Mathematics
5 Linear Algebra and its Applications
5 Applied and Computational Harmonic Analysis
5 The Ramanujan Journal
5 Positivity
5 Acta Mathematica Sinica. English Series
5 Communications in Contemporary Mathematics
4 American Mathematical Monthly
4 Integral Equations and Operator Theory
4 Inventiones Mathematicae
4 Journal of Combinatorial Theory. Series A
4 Memoirs of the American Mathematical Society
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Results in Mathematics
4 European Journal of Combinatorics
4 Statistics & Probability Letters
4 Combinatorica
4 SIAM Journal on Discrete Mathematics
4 The Annals of Applied Probability
4 Stochastic Processes and their Applications
4 SIAM Journal on Optimization
4 Potential Analysis
4 The Electronic Journal of Combinatorics
4 Advances in Computational Mathematics
4 Bernoulli
4 Advances in Geometry
4 Foundations of Physics
3 Archive for Rational Mechanics and Analysis
3 Journal of Statistical Physics
3 Linear and Multilinear Algebra
3 Theory of Probability and its Applications
3 Beiträge zur Algebra und Geometrie
3 Bulletin de la Société Mathématique de France
3 Indiana University Mathematics Journal
3 Journal of Optimization Theory and Applications
3 Journal für die Reine und Angewandte Mathematik
3 Manuscripta Mathematica
3 Pacific Journal of Mathematics
3 Acta Mathematica Hungarica
3 Constructive Approximation
3 Revista Matemática Iberoamericana
3 Journal of the American Mathematical Society
3 Science in China. Series A
3 Neural Networks
3 Numerical Algorithms
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Experimental Mathematics
3 Bulletin des Sciences Mathématiques
3 Revista Matemática Complutense
3 Annals of Mathematics. Second Series
...and 214 more Serials
all top 5

Cited in 57 Fields

487 Convex and discrete geometry (52-XX)
244 Functional analysis (46-XX)
236 Probability theory and stochastic processes (60-XX)
120 Number theory (11-XX)
113 Operator theory (47-XX)
96 Real functions (26-XX)
67 Computer science (68-XX)
60 Statistics (62-XX)
58 Information and communication theory, circuits (94-XX)
56 Combinatorics (05-XX)
55 Differential geometry (53-XX)
52 Approximations and expansions (41-XX)
51 Numerical analysis (65-XX)
49 Linear and multilinear algebra; matrix theory (15-XX)
49 Operations research, mathematical programming (90-XX)
43 Calculus of variations and optimal control; optimization (49-XX)
42 Functions of a complex variable (30-XX)
42 Harmonic analysis on Euclidean spaces (42-XX)
41 Measure and integration (28-XX)
41 Special functions (33-XX)
39 Geometry (51-XX)
32 Partial differential equations (35-XX)
29 Quantum theory (81-XX)
22 General topology (54-XX)
22 Global analysis, analysis on manifolds (58-XX)
16 Group theory and generalizations (20-XX)
16 Statistical mechanics, structure of matter (82-XX)
13 Several complex variables and analytic spaces (32-XX)
12 Dynamical systems and ergodic theory (37-XX)
11 Difference and functional equations (39-XX)
11 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
10 Abstract harmonic analysis (43-XX)
9 Potential theory (31-XX)
8 Integral transforms, operational calculus (44-XX)
7 Algebraic geometry (14-XX)
6 Ordinary differential equations (34-XX)
6 Biology and other natural sciences (92-XX)
5 History and biography (01-XX)
5 Integral equations (45-XX)
5 Systems theory; control (93-XX)
4 General and overarching topics; collections (00-XX)
4 Manifolds and cell complexes (57-XX)
3 Mathematical logic and foundations (03-XX)
3 Mechanics of particles and systems (70-XX)
3 Fluid mechanics (76-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Nonassociative rings and algebras (17-XX)
2 Mechanics of deformable solids (74-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Relativity and gravitational theory (83-XX)
1 Field theory and polynomials (12-XX)
1 Associative rings and algebras (16-XX)
1 Topological groups, Lie groups (22-XX)
1 Sequences, series, summability (40-XX)
1 Algebraic topology (55-XX)
1 Optics, electromagnetic theory (78-XX)
1 Geophysics (86-XX)

Citations by Year

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