## Ball, Keith Martin

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 Author ID: ball.keith-m Published as: Ball, Keith; Ball, Keith M.; Ball, K.; Ball, K. M. more...less Homepage: https://warwick.ac.uk/fac/sci/maths/people/staff/keith_ball/ External Links: MGP · Wikidata · dblp · GND · IdRef
 Documents Indexed: 46 Publications since 1986, including 1 Book 5 Contributions as Editor Biographic References: 1 Publication Co-Authors: 29 Co-Authors with 24 Joint Publications 666 Co-Co-Authors
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### Co-Authors

 27 single-authored 4 Barthe, Franck 3 Naor, Assaf 2 Artstein-Avidan, Shiri 2 Böröczky, Karoly jun. 2 Henk, Martin 2 Ludwig, Monika 2 Milman, Vitali D. 2 Pajor, Alain 2 Perissinaki, Irini 2 Prodromou, Maria N. 1 Ambrus, Gergely 1 Anttila, Milla 1 Arias-de-Reyna, Juan 1 Bednorz, Witold Marek 1 Carlen, Eric Anders 1 Erdélyi, Tamás 1 Goodey, Paul R. 1 Gruber, Peter Manfred 1 Lieb, Elliott Hershel 1 Nayar, Piotr 1 Nguyễn Văn Hoàng 1 Oleszkiewicz, Krzysztof 1 Ortega-Moreno, Oscar 1 Rivoal, Tanguy 1 Sivakumar, N. R. 1 Tkocz, Tomasz 1 Villa, Rafael 1 Ward, Joseph Dinneen 1 Wolff, Paweł
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### Serials

 4 Mathematika 3 Studia Mathematica 3 Bulletin of the London Mathematical Society 3 Inventiones Mathematicae 3 Oberwolfach Reports 2 Israel Journal of Mathematics 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Discrete & Computational Geometry 2 Mathematical Sciences Research Institute Publications 1 Duke Mathematical Journal 1 Geometriae Dedicata 1 Journal of Approximation Theory 1 Journal of Combinatorial Theory. Series B 1 Journal of the London Mathematical Society. Second Series 1 Monatshefte für Mathematik 1 European Journal of Combinatorics 1 Probability Theory and Related Fields 1 Constructive Approximation 1 Journal of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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### Fields

 29 Convex and discrete geometry (52-XX) 16 Probability theory and stochastic processes (60-XX) 14 Functional analysis (46-XX) 6 General and overarching topics; collections (00-XX) 6 Number theory (11-XX) 5 Information and communication theory, circuits (94-XX) 4 Operator theory (47-XX) 3 Combinatorics (05-XX) 2 Real functions (26-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Geometry (51-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX)

### Citations contained in zbMATH Open

42 Publications have been cited 1,261 times in 1,020 Documents Cited by Year
Sharp uniform convexity and smoothness inequalities for trace norms. Zbl 0803.47037
Ball, Keith; Carlen, Eric A.; Lieb, Elliott H.
1994
An elementary introduction to modern convex geometry. Zbl 0901.52002
Ball, Keith
1997
Volume ratios and a reverse isoperimetric inequality. Zbl 0694.46010
Ball, K. M.
1991
Logarithmically concave functions and sections of convex sets in $${\mathbb{R}}^ n$$. Zbl 0642.52011
Ball, Keith
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
2001
Cube slicing in $${\mathbb{R}}^ n$$. Zbl 0601.52005
Ball, Keith
1986
The central limit problem for convex bodies. Zbl 1033.52003
Anttila, Milla; Ball, Keith; Perissinaki, Irini
2003
Ellipsoids of maximal volume in convex bodies. Zbl 0747.52007
Ball, Keith
1992
Shadows of convex bodies. Zbl 0746.52007
Ball, Keith
1991
Markov chains, Riesz transforms and Lipschitz maps. Zbl 0788.46050
Ball, K.
1992
Solution of Shannon’s problem on the monotonicity of entropy. Zbl 1062.94006
Artstein, Shiri; Ball, Keith M.; Barthe, Franck; Naor, Assaf
2004
Volumes of sections of cubes and related problems. Zbl 0674.46008
Ball, Keith
1989
The plank problem for symmetric bodies. Zbl 0702.52003
Ball, Keith
1991
The complex plank problem. Zbl 1030.46008
Ball, Keith M.
2001
Convex geometry and functional analysis. Zbl 1017.46004
Ball, Keith
2001
Normed spaces with a weak-Gordon-Lewis property. Zbl 0762.46004
Ball, Keith
1991
Entropy jumps in the presence of a spectral gap. Zbl 1036.94003
Ball, Keith; Barthe, Franck; Naor, Assaf
2003
On the rate of convergence in the entropic central limit theorem. Zbl 1055.94004
Artstein, Shiri; Ball, Keith M.; Barthe, Franck; Naor, Assaf
2004
Eigenvalues of euclidean distance matrices. Zbl 0746.41002
Ball, Keith
1992
A lower bound for the optimal density of lattice packings. Zbl 0776.52006
Ball, Keith
1992
The entropy of convex bodies with ”few” extreme points. Zbl 0746.60005
Ball, Keith; Pajor, Alain
1991
The reverse isoperimetric problem for Gaussian measure. Zbl 0788.52010
Ball, Keith
1993
Concentration of the distance in finite-dimensional normed spaces. Zbl 0956.46009
Arias-de-Reyna, Juan; Ball, Keith; Villa, Rafael
1998
Isometric embedding in $$\ell_ p$$-spaces. Zbl 0712.46008
Ball, Keith
1990
The subindependence of coordinate slabs in $$l_p^n$$ balls. Zbl 0918.60013
Ball, Keith; Perissinaki, Irini
1998
The Ribe programme. Zbl 1303.46019
Ball, Keith
2013
Stability of the Prékopa-Leindler inequality. Zbl 1205.39024
Ball, Keith M.; Böröczky, Károly jun.
2010
Stability of some versions of the Prékopa-Leindler inequality. Zbl 1217.60014
Ball, Keith M.; Böröczky, Károly J.
2011
On the sensitivity of radial basis interpolation to minimal data separation distance. Zbl 0771.41001
Ball, K.; Sivakumar, N.; Ward, J. D.
1992
Completely monotonic rational functions and Hall’s marriage theorem. Zbl 0868.26009
Ball, Keith
1994
Convex bodies with few faces. Zbl 0704.52003
Ball, Keith; Pajor, Alain
1990
Chebyshev constants for the unit circle. Zbl 1276.30013
Ambrus, Gergely; Ball, Keith M.; Erdélyi, Tamás
2013
Mahler’s conjecture and wavelets. Zbl 0824.52005
Ball, K.
1995
Entropy jumps for isotropic log-concave random vectors and spectral gap. Zbl 1264.94077
Ball, Keith; Nguyen, Van Hoang
2012
Inequalities and sphere-packing in $$\ell _ p$$. Zbl 0642.46021
Ball, Keith
1987
$$L^1$$-smoothing for the Ornstein-Uhlenbeck semigroup. Zbl 1267.47066
Ball, K.; Barthe, F.; Bednorz, W.; Oleszkiewicz, K.; Wolff, P.
2013
A reverse entropy power inequality for log-concave random vectors. Zbl 1407.94055
Ball, Keith; Nayar, Piotr; Tkocz, Tomasz
2016
An elementary introduction to monotone transportation. Zbl 1139.49303
Ball, K.
2004
Some remarks on the geometry of convex sets. Zbl 0651.52010
Ball, Keith
1988
Strange curves, counting rabbits, and other mathematical explorations. Zbl 1094.00002
Ball, Keith
2003
A sharp combinatorial version of Vaaler’s theorem. Zbl 1250.52008
Ball, K. M.; Prodromou, M.
2009
The legacy of Jean Bourgain in geometric functional analysis. Zbl 1471.46010
Ball, Keith
2021
The legacy of Jean Bourgain in geometric functional analysis. Zbl 1471.46010
Ball, Keith
2021
A reverse entropy power inequality for log-concave random vectors. Zbl 1407.94055
Ball, Keith; Nayar, Piotr; Tkocz, Tomasz
2016
The Ribe programme. Zbl 1303.46019
Ball, Keith
2013
Chebyshev constants for the unit circle. Zbl 1276.30013
Ambrus, Gergely; Ball, Keith M.; Erdélyi, Tamás
2013
$$L^1$$-smoothing for the Ornstein-Uhlenbeck semigroup. Zbl 1267.47066
Ball, K.; Barthe, F.; Bednorz, W.; Oleszkiewicz, K.; Wolff, P.
2013
Entropy jumps for isotropic log-concave random vectors and spectral gap. Zbl 1264.94077
Ball, Keith; Nguyen, Van Hoang
2012
Stability of some versions of the Prékopa-Leindler inequality. Zbl 1217.60014
Ball, Keith M.; Böröczky, Károly J.
2011
Stability of the Prékopa-Leindler inequality. Zbl 1205.39024
Ball, Keith M.; Böröczky, Károly jun.
2010
A sharp combinatorial version of Vaaler’s theorem. Zbl 1250.52008
Ball, K. M.; Prodromou, M.
2009
Solution of Shannon’s problem on the monotonicity of entropy. Zbl 1062.94006
Artstein, Shiri; Ball, Keith M.; Barthe, Franck; Naor, Assaf
2004
On the rate of convergence in the entropic central limit theorem. Zbl 1055.94004
Artstein, Shiri; Ball, Keith M.; Barthe, Franck; Naor, Assaf
2004
An elementary introduction to monotone transportation. Zbl 1139.49303
Ball, K.
2004
The central limit problem for convex bodies. Zbl 1033.52003
Anttila, Milla; Ball, Keith; Perissinaki, Irini
2003
Entropy jumps in the presence of a spectral gap. Zbl 1036.94003
Ball, Keith; Barthe, Franck; Naor, Assaf
2003
Strange curves, counting rabbits, and other mathematical explorations. Zbl 1094.00002
Ball, Keith
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
2001
The complex plank problem. Zbl 1030.46008
Ball, Keith M.
2001
Convex geometry and functional analysis. Zbl 1017.46004
Ball, Keith
2001
Concentration of the distance in finite-dimensional normed spaces. Zbl 0956.46009
Arias-de-Reyna, Juan; Ball, Keith; Villa, Rafael
1998
The subindependence of coordinate slabs in $$l_p^n$$ balls. Zbl 0918.60013
Ball, Keith; Perissinaki, Irini
1998
An elementary introduction to modern convex geometry. Zbl 0901.52002
Ball, Keith
1997
Mahler’s conjecture and wavelets. Zbl 0824.52005
Ball, K.
1995
Sharp uniform convexity and smoothness inequalities for trace norms. Zbl 0803.47037
Ball, Keith; Carlen, Eric A.; Lieb, Elliott H.
1994
Completely monotonic rational functions and Hall’s marriage theorem. Zbl 0868.26009
Ball, Keith
1994
The reverse isoperimetric problem for Gaussian measure. Zbl 0788.52010
Ball, Keith
1993
Ellipsoids of maximal volume in convex bodies. Zbl 0747.52007
Ball, Keith
1992
Markov chains, Riesz transforms and Lipschitz maps. Zbl 0788.46050
Ball, K.
1992
Eigenvalues of euclidean distance matrices. Zbl 0746.41002
Ball, Keith
1992
A lower bound for the optimal density of lattice packings. Zbl 0776.52006
Ball, Keith
1992
On the sensitivity of radial basis interpolation to minimal data separation distance. Zbl 0771.41001
Ball, K.; Sivakumar, N.; Ward, J. D.
1992
Volume ratios and a reverse isoperimetric inequality. Zbl 0694.46010
Ball, K. M.
1991
Shadows of convex bodies. Zbl 0746.52007
Ball, Keith
1991
The plank problem for symmetric bodies. Zbl 0702.52003
Ball, Keith
1991
Normed spaces with a weak-Gordon-Lewis property. Zbl 0762.46004
Ball, Keith
1991
The entropy of convex bodies with ”few” extreme points. Zbl 0746.60005
Ball, Keith; Pajor, Alain
1991
Isometric embedding in $$\ell_ p$$-spaces. Zbl 0712.46008
Ball, Keith
1990
Convex bodies with few faces. Zbl 0704.52003
Ball, Keith; Pajor, Alain
1990
Volumes of sections of cubes and related problems. Zbl 0674.46008
Ball, Keith
1989
Logarithmically concave functions and sections of convex sets in $${\mathbb{R}}^ n$$. Zbl 0642.52011
Ball, Keith
1988
Some remarks on the geometry of convex sets. Zbl 0651.52010
Ball, Keith
1988
Inequalities and sphere-packing in $$\ell _ p$$. Zbl 0642.46021
Ball, Keith
1987
Cube slicing in $${\mathbb{R}}^ n$$. Zbl 0601.52005
Ball, Keith
1986
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### Cited by 1,135 Authors

 36 Naor, Assaf 23 Paouris, Grigoris 22 Bobkov, Sergey Germanovich 19 Li, Aijun 16 Alonso-Gutiérrez, David 16 Huang, Qingzhong 15 Giannopoulos, Apostolos A. 15 Koldobsky, Alexander L. 15 Leng, Gangsong 13 Fischler, Stéphane 13 Rivoal, Tanguy 12 Böröczky, Karoly jun. 12 Götze, Friedrich 12 Klartag, Bo’az 12 Xiong, Ge 11 Chistyakov, Gennadiy P. 11 Naszódi, Márton 10 Ball, Keith Martin 10 Barthe, Franck 10 Prochno, Joscha 10 Zudilin, Wadim 10 Zvavitch, Artem 8 Bezdek, Károly 8 Madiman, Mokshay M. 8 Schechtman, Gideon 8 Thäle, Christoph 7 Carlen, Eric Anders 7 Cordero-Erausquin, Dario 7 Fradelizi, Matthieu 7 Guédon, Olivier 7 He, Binwu 7 Henk, Martin 7 Kumam, Poom 7 Lee, James R. 7 Merino, Bernardo González 7 Milman, Emanuel 7 Peres, Yuval 7 Tkocz, Tomasz 6 Brazitikos, Silouanos 6 Campi, Stefano 6 Eldan, Ronen 6 Ivanov, Grigory M. 6 Jiménez, Carlos Hugo 6 König, Hermann 6 Livshyts, Galyna V. 6 Mendel, Manor 6 Mendelson, Shahar 6 Ohta, Shin-ichi 6 Pajor, Alain 6 Schütt, Carsten 6 Werner, Elisabeth M. 6 Zou, Du 5 Artstein-Avidan, Shiri 5 Bastero, Jesús 5 Bernués, Julio 5 Gao, Fuchang 5 Gronchi, Paolo 5 Hug, Daniel 5 Lehec, Joseph 5 Meyer, Mathieu 5 Milman, Vitali D. 5 Müller, Vladimír 5 Pivovarov, Peter 5 Saff, Edward Barry 5 Valettas, Petros 5 Vritsiou, Beatrice-Helen 5 Xi, Dongmeng 5 Zhao, Changjian 5 Zorich, Vladimir Antonovich 4 Dafnis, Nikos 4 Dixit, Atul 4 Fang, Niufa 4 Fleury, Bernard Henri 4 Fodor, Ferenc 4 Hardin, Douglas P. 4 Hernández Cifre, María A. 4 Hinrichs, Aicke 4 Hu, Jiaqi 4 Ivaki, Mohammad N. 4 Johnson, William Buhmann 4 Lieb, Elliott Hershel 4 Litvak, Aleksandr Evgen’evich 4 Lv, Songjun 4 Marsiglietti, Arnaud 4 Mewomo, Oluwatosin Temitope 4 Nourdin, Ivan 4 Peccati, Giovanni 4 Pinasco, Damián 4 Saewan, Siwaporn 4 Soberón, Pablo 4 Tsolomitis, Antonis 4 Vempala, Santosh S. 4 Villa, Rafael 4 Zhang, Gaoyong 3 Aubrun, Guillaume 3 Austin, Tim D. 3 Baudier, Florent P. 3 Borodachov, Sergiy V. 3 Chafaï, Djalil 3 Chasapis, Giorgos ...and 1,035 more Authors
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### Cited in 283 Serials

 51 Advances in Mathematics 45 Proceedings of the American Mathematical Society 42 Journal of Functional Analysis 37 Journal of Mathematical Analysis and Applications 34 Israel Journal of Mathematics 30 Discrete & Computational Geometry 23 Mathematika 19 Transactions of the American Mathematical Society 19 Advances in Applied Mathematics 19 The Journal of Geometric Analysis 18 The Annals of Probability 13 Probability Theory and Related Fields 13 Geometric and Functional Analysis. GAFA 11 Geometriae Dedicata 10 Journal of Approximation Theory 10 Mathematische Annalen 9 Mathematische Zeitschrift 9 Monatshefte für Mathematik 9 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 9 Journal of Mathematical Sciences (New York) 8 Archiv der Mathematik 8 Journal of Theoretical Probability 8 Mathematical Programming. Series A. Series B 8 Calculus of Variations and Partial Differential Equations 8 Abstract and Applied Analysis 8 Journal of Inequalities and Applications 7 Discrete Mathematics 7 Mathematical Notes 7 Duke Mathematical Journal 7 Bulletin of the American Mathematical Society. New Series 7 Journal de Théorie des Nombres de Bordeaux 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Communications in Mathematical Physics 6 Journal of Mathematical Physics 6 SIAM Journal on Computing 6 Journal of Complexity 6 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 6 Journal of the European Mathematical Society (JEMS) 6 Analysis and Geometry in Metric Spaces 5 Studia Mathematica 5 Compositio Mathematica 5 Journal of Computational and Applied Mathematics 5 Journal of Number Theory 5 Linear Algebra and its Applications 5 Applied and Computational Harmonic Analysis 5 Electronic Journal of Probability 5 Mathematical Inequalities & Applications 5 Acta Mathematica Sinica. English Series 5 International Journal of Number Theory 4 American Mathematical Monthly 4 Annales de l’Institut Fourier 4 The Annals of Statistics 4 Integral Equations and Operator Theory 4 Inventiones Mathematicae 4 Journal of Combinatorial Theory. Series A 4 Mathematische Nachrichten 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Results in Mathematics 4 European Journal of Combinatorics 4 Combinatorica 4 Advances in Computational Mathematics 4 Bernoulli 4 The Ramanujan Journal 4 Positivity 4 Communications in Contemporary Mathematics 4 Advances in Geometry 3 Archive for Rational Mechanics and Analysis 3 Journal of Statistical Physics 3 Theory of Probability and its Applications 3 Beiträge zur Algebra und Geometrie 3 Journal of Optimization Theory and Applications 3 Manuscripta Mathematica 3 Memoirs of the American Mathematical Society 3 Statistics & Probability Letters 3 Acta Mathematica Hungarica 3 Constructive Approximation 3 Revista Matemática Iberoamericana 3 SIAM Journal on Discrete Mathematics 3 Science in China. Series A 3 Numerical Algorithms 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 SIAM Journal on Optimization 3 Potential Analysis 3 The Electronic Journal of Combinatorics 3 Revista Matemática Complutense 3 Annals of Mathematics. Second Series 3 Fixed Point Theory and Applications 3 Proceedings of the Steklov Institute of Mathematics 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Journal of Function Spaces 2 Applicable Analysis 2 Bulletin of the Australian Mathematical Society 2 Linear and Multilinear Algebra 2 Mathematische Semesterberichte 2 Rocky Mountain Journal of Mathematics 2 Russian Mathematical Surveys 2 Applied Mathematics and Computation 2 Bulletin of the London Mathematical Society 2 Calcolo 2 Functiones et Approximatio. Commentarii Mathematici ...and 183 more Serials
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### Cited in 55 Fields

 414 Convex and discrete geometry (52-XX) 222 Functional analysis (46-XX) 202 Probability theory and stochastic processes (60-XX) 101 Operator theory (47-XX) 97 Number theory (11-XX) 75 Real functions (26-XX) 53 Computer science (68-XX) 48 Approximations and expansions (41-XX) 47 Numerical analysis (65-XX) 46 Statistics (62-XX) 45 Combinatorics (05-XX) 45 Differential geometry (53-XX) 44 Information and communication theory, circuits (94-XX) 41 Linear and multilinear algebra; matrix theory (15-XX) 41 Operations research, mathematical programming (90-XX) 38 Functions of a complex variable (30-XX) 35 Harmonic analysis on Euclidean spaces (42-XX) 33 Measure and integration (28-XX) 33 Special functions (33-XX) 31 Calculus of variations and optimal control; optimization (49-XX) 29 Geometry (51-XX) 26 Partial differential equations (35-XX) 22 General topology (54-XX) 21 Quantum theory (81-XX) 20 Global analysis, analysis on manifolds (58-XX) 16 Group theory and generalizations (20-XX) 15 Statistical mechanics, structure of matter (82-XX) 11 Dynamical systems and ergodic theory (37-XX) 10 Difference and functional equations (39-XX) 9 Abstract harmonic analysis (43-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Potential theory (31-XX) 6 Algebraic geometry (14-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Ordinary differential equations (34-XX) 5 History and biography (01-XX) 5 Integral transforms, operational calculus (44-XX) 5 Integral equations (45-XX) 5 Biology and other natural sciences (92-XX) 4 Manifolds and cell complexes (57-XX) 4 Systems theory; control (93-XX) 3 General and overarching topics; collections (00-XX) 3 Mathematical logic and foundations (03-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) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Sequences, series, summability (40-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX)

### Wikidata Timeline

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