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## Ball, Keith Martin

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 Author ID: ball.keith-m 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
 Documents Indexed: 50 Publications since 1986, including 3 Books Biographic References: 1 Publication
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#### Co-Authors

 26 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 H. 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
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#### Fields

 28 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) 5 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 Computer science (68-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 Geometry (51-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

40 Publications have been cited 1,139 times in 918 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
Shadows of convex bodies. Zbl 0746.52007
Ball, Keith
1991
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
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
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 complex plank problem. Zbl 1030.46008
Ball, Keith M.
2001
Entropy jumps in the presence of a spectral gap. Zbl 1036.94003
Ball, Keith; Barthe, Franck; Naor, Assaf
2003
Volumes of sections of cubes and related problems. Zbl 0674.46008
Ball, Keith
1989
Eigenvalues of euclidean distance matrices. Zbl 0746.41002
Ball, Keith
1992
On the rate of convergence in the entropic central limit theorem. Zbl 1055.94004
Artstein, Shiri; Ball, Keith M.; Barthe, Franck; Naor, Assaf
2004
Convex geometry and functional analysis. Zbl 1017.46004
Ball, Keith
2001
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
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 reverse isoperimetric problem for Gaussian measure. Zbl 0788.52010
Ball, Keith
1993
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
Stability of the Prékopa-Leindler inequality. Zbl 1205.39024
Ball, Keith M.; Böröczky, Károly jun.
2010
The Ribe programme. Zbl 1303.46019
Ball, Keith
2013
Convex bodies with few faces. Zbl 0704.52003
Ball, Keith; Pajor, Alain
1990
Completely monotonic rational functions and Hall’s marriage theorem. Zbl 0868.26009
Ball, Keith
1994
Entropy jumps for isotropic log-concave random vectors and spectral gap. Zbl 1264.94077
Ball, Keith; Nguyen, Van Hoang
2012
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
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 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
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 1,020 Authors

 35 Naor, Assaf 22 Bobkov, Sergey Germanovich 21 Paouris, Grigoris 18 Li, Aijun 16 Huang, Qingzhong 15 Leng, Gangsong 14 Alonso-Gutiérrez, David 14 Giannopoulos, Apostolos A. 14 Koldobsky, Alexander L. 13 Fischler, Stéphane 13 Rivoal, Tanguy 12 Götze, Friedrich W. 12 Klartag, Bo’az 11 Böröczky, Karoly jun. 11 Chistyakov, Gennadiy P. 11 Xiong, Ge 10 Ball, Keith Martin 10 Zudilin, Wadim 9 Barthe, Franck 9 Zvavitch, Artem 8 Bezdek, Károly 8 Madiman, Mokshay M. 8 Naszódi, Márton 8 Schechtman, Gideon 7 Cordero-Erausquin, Dario 7 Fradelizi, Matthieu 7 Guédon, Olivier 7 He, Binwu 7 Kumam, Poom 7 Milman, Emanuel 7 Peres, Yuval 7 Prochno, Joscha 7 Thäle, Christoph 6 Campi, Stefano 6 Carlen, Eric Anders 6 Eldan, Ronen 6 Henk, Martin 6 Jiménez, Carlos Hugo 6 Mendel, Manor 6 Merino, Bernardo González 6 Ohta, Shin-ichi 6 Pajor, Alain 6 Zou, Du 5 Artstein-Avidan, Shiri 5 Bastero, Jesús 5 Bernués, Julio 5 Brazitikos, Silouanos 5 Gao, Fuchang 5 Gronchi, Paolo 5 Hug, Daniel 5 König, Hermann 5 Lee, James R. 5 Lehec, Joseph 5 Livshyts, Galyna V. 5 Mendelson, Shahar 5 Meyer, Mathieu 5 Milman, Vitali D. 5 Pivovarov, Peter 5 Valettas, Petros 5 Xi, Dongmeng 5 Zhao, Changjian 4 Dafnis, Nikos 4 Fleury, Bernard Henri 4 Fodor, Ferenc 4 Hernández Cifre, María A. 4 Hinrichs, Aicke 4 Ivaki, Mohammad N. 4 Johnson, William Buhmann 4 Litvak, Aleksandr Evgen’evich 4 Lv, Songjun 4 Müller, Vladimír 4 Nourdin, Ivan 4 Peccati, Giovanni 4 Saewan, Siwaporn 4 Saff, Edward Barry 4 Schütt, Carsten 4 Tkocz, Tomasz 4 Tsolomitis, Antonis 4 Vritsiou, Beatrice-Helen 4 Werner, Elisabeth M. 4 Zhang, Gaoyong 4 Zorich, Vladimir Antonovich 3 Aubrun, Guillaume 3 Austin, Tim D. 3 Chafaï, Djalil 3 Colesanti, Andrea 3 Dixit, Atul 3 Edmunds, David Eric 3 Eskenazis, Alexandros 3 Fang, Niufa 3 Fragalà, Ilaria 3 Fresen, Daniel J. 3 Gruber, Peter Manfred 3 Hu, Jiaqi 3 Iiduka, Hideaki 3 Junge, Marius 3 Kabluchko, Zakhar A. 3 Karasev, Roman N. 3 Kim, Jaegil 3 King, Christopher K. ...and 920 more Authors
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#### Cited in 257 Serials

 47 Advances in Mathematics 44 Proceedings of the American Mathematical Society 36 Journal of Functional Analysis 32 Journal of Mathematical Analysis and Applications 31 Israel Journal of Mathematics 28 Discrete & Computational Geometry 23 Mathematika 19 Transactions of the American Mathematical Society 17 The Annals of Probability 17 Advances in Applied Mathematics 13 Probability Theory and Related Fields 13 The Journal of Geometric Analysis 12 Geometric and Functional Analysis. GAFA 11 Geometriae Dedicata 10 Journal of Approximation Theory 10 Mathematische Annalen 9 Monatshefte für Mathematik 9 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 8 Archiv der Mathematik 8 Journal of Theoretical Probability 8 Mathematical Programming. Series A. Series B 8 Journal of Mathematical Sciences (New York) 8 Abstract and Applied Analysis 7 Duke Mathematical Journal 7 Mathematische Zeitschrift 7 Bulletin of the American Mathematical Society. New Series 7 Journal de Théorie des Nombres de Bordeaux 7 Journal of Inequalities and Applications 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Discrete Mathematics 6 Mathematical Notes 6 SIAM Journal on Computing 6 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 6 Calculus of Variations and Partial Differential Equations 6 Analysis and Geometry in Metric Spaces 5 Communications in Mathematical Physics 5 Journal of Mathematical Physics 5 Compositio Mathematica 5 Journal of Computational and Applied Mathematics 5 Journal of Number Theory 5 Journal of Complexity 5 Linear Algebra and its Applications 5 Applied and Computational Harmonic Analysis 5 Journal of the European Mathematical Society (JEMS) 5 Acta Mathematica Sinica. English Series 4 Studia Mathematica 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 Bernoulli 4 The Ramanujan Journal 4 Positivity 4 Mathematical Inequalities & Applications 4 Advances in Geometry 4 International Journal of Number Theory 3 American Mathematical Monthly 3 Archive for Rational Mechanics and Analysis 3 Theory of Probability and its Applications 3 Beiträge zur Algebra und Geometrie 3 Journal of Optimization Theory and Applications 3 Manuscripta Mathematica 3 Results in Mathematics 3 European Journal of Combinatorics 3 Statistics & Probability Letters 3 Combinatorica 3 Constructive Approximation 3 Science in China. Series A 3 Numerical Algorithms 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Advances in Computational Mathematics 3 Electronic Journal of Probability 3 Revista Matemática Complutense 3 Annals of Mathematics. Second Series 3 Communications in Contemporary Mathematics 3 Fixed Point Theory and Applications 3 Proceedings of the Steklov Institute of Mathematics 3 Journal of Function Spaces 2 Applicable Analysis 2 Bulletin of the Australian Mathematical Society 2 Journal of Statistical Physics 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 2 Journal of the London Mathematical Society. Second Series 2 Journal für die Reine und Angewandte Mathematik 2 Journal of Statistical Planning and Inference 2 Memoirs of the American Mathematical Society 2 Numerical Functional Analysis and Optimization 2 Pacific Journal of Mathematics 2 Acta Mathematica Hungarica 2 Revista Matemática Iberoamericana ...and 157 more Serials
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#### Cited in 55 Fields

 364 Convex and discrete geometry (52-XX) 202 Functional analysis (46-XX) 179 Probability theory and stochastic processes (60-XX) 91 Number theory (11-XX) 91 Operator theory (47-XX) 63 Real functions (26-XX) 47 Computer science (68-XX) 45 Approximations and expansions (41-XX) 44 Statistics (62-XX) 44 Numerical analysis (65-XX) 42 Differential geometry (53-XX) 42 Information and communication theory, circuits (94-XX) 39 Combinatorics (05-XX) 37 Linear and multilinear algebra; matrix theory (15-XX) 36 Functions of a complex variable (30-XX) 35 Operations research, mathematical programming (90-XX) 33 Special functions (33-XX) 31 Harmonic analysis on Euclidean spaces (42-XX) 31 Calculus of variations and optimal control; optimization (49-XX) 27 Measure and integration (28-XX) 23 Partial differential equations (35-XX) 23 Geometry (51-XX) 19 General topology (54-XX) 19 Global analysis, analysis on manifolds (58-XX) 19 Quantum theory (81-XX) 17 Group theory and generalizations (20-XX) 10 Difference and functional equations (39-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Abstract harmonic analysis (43-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Potential theory (31-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Ordinary differential equations (34-XX) 5 Algebraic geometry (14-XX) 5 Integral transforms, operational calculus (44-XX) 5 Integral equations (45-XX) 4 History and biography (01-XX) 4 Manifolds and cell complexes (57-XX) 4 Biology and other natural sciences (92-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Mathematical logic and foundations (03-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Nonassociative rings and algebras (17-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-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)

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