Edit Profile (opens in new tab) Ball, Keith Martin Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0803.47037Ball, Keith; Carlen, Eric A.; Lieb, Elliott H. 135 1994 An elementary introduction to modern convex geometry. Zbl 0901.52002Ball, Keith 130 1997 Volume ratios and a reverse isoperimetric inequality. Zbl 0694.46010Ball, K. M. 106 1991 Logarithmically concave functions and sections of convex sets in \({\mathbb{R}}^ n\). Zbl 0642.52011Ball, Keith 87 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 1058.11051Ball, Keith; Rivoal, Tanguy 74 2001 Cube slicing in \({\mathbb{R}}^ n\). Zbl 0601.52005Ball, Keith 59 1986 The central limit problem for convex bodies. Zbl 1033.52003Anttila, Milla; Ball, Keith; Perissinaki, Irini 56 2003 Ellipsoids of maximal volume in convex bodies. Zbl 0747.52007Ball, Keith 55 1992 Shadows of convex bodies. Zbl 0746.52007Ball, Keith 54 1991 Markov chains, Riesz transforms and Lipschitz maps. Zbl 0788.46050Ball, K. 51 1992 Solution of Shannon’s problem on the monotonicity of entropy. Zbl 1062.94006Artstein, Shiri; Ball, Keith M.; Barthe, Franck; Naor, Assaf 39 2004 Volumes of sections of cubes and related problems. Zbl 0674.46008Ball, Keith 25 1989 The plank problem for symmetric bodies. Zbl 0702.52003Ball, Keith 25 1991 The complex plank problem. Zbl 1030.46008Ball, Keith M. 24 2001 Convex geometry and functional analysis. Zbl 1017.46004Ball, Keith 23 2001 Normed spaces with a weak-Gordon-Lewis property. Zbl 0762.46004Ball, Keith 22 1991 Entropy jumps in the presence of a spectral gap. Zbl 1036.94003Ball, Keith; Barthe, Franck; Naor, Assaf 20 2003 On the rate of convergence in the entropic central limit theorem. Zbl 1055.94004Artstein, Shiri; Ball, Keith M.; Barthe, Franck; Naor, Assaf 20 2004 Eigenvalues of euclidean distance matrices. Zbl 0746.41002Ball, Keith 20 1992 A lower bound for the optimal density of lattice packings. Zbl 0776.52006Ball, Keith 19 1992 The entropy of convex bodies with ”few” extreme points. Zbl 0746.60005Ball, Keith; Pajor, Alain 18 1991 The reverse isoperimetric problem for Gaussian measure. Zbl 0788.52010Ball, Keith 18 1993 Concentration of the distance in finite-dimensional normed spaces. Zbl 0956.46009Arias-de-Reyna, Juan; Ball, Keith; Villa, Rafael 17 1998 Isometric embedding in \(\ell_ p\)-spaces. Zbl 0712.46008Ball, Keith 16 1990 The subindependence of coordinate slabs in \(l_p^n\) balls. Zbl 0918.60013Ball, Keith; Perissinaki, Irini 14 1998 The Ribe programme. Zbl 1303.46019Ball, Keith 14 2013 Stability of the Prékopa-Leindler inequality. Zbl 1205.39024Ball, Keith M.; Böröczky, Károly jun. 13 2010 Stability of some versions of the Prékopa-Leindler inequality. Zbl 1217.60014Ball, Keith M.; Böröczky, Károly J. 13 2011 On the sensitivity of radial basis interpolation to minimal data separation distance. Zbl 0771.41001Ball, K.; Sivakumar, N.; Ward, J. D. 13 1992 Completely monotonic rational functions and Hall’s marriage theorem. Zbl 0868.26009Ball, Keith 12 1994 Convex bodies with few faces. Zbl 0704.52003Ball, Keith; Pajor, Alain 11 1990 Chebyshev constants for the unit circle. Zbl 1276.30013Ambrus, Gergely; Ball, Keith M.; Erdélyi, Tamás 11 2013 Mahler’s conjecture and wavelets. Zbl 0824.52005Ball, K. 10 1995 Entropy jumps for isotropic log-concave random vectors and spectral gap. Zbl 1264.94077Ball, Keith; Nguyen, Van Hoang 9 2012 Inequalities and sphere-packing in \(\ell _ p\). Zbl 0642.46021Ball, Keith 6 1987 \(L^1\)-smoothing for the Ornstein-Uhlenbeck semigroup. Zbl 1267.47066Ball, K.; Barthe, F.; Bednorz, W.; Oleszkiewicz, K.; Wolff, P. 6 2013 A reverse entropy power inequality for log-concave random vectors. Zbl 1407.94055Ball, Keith; Nayar, Piotr; Tkocz, Tomasz 5 2016 An elementary introduction to monotone transportation. Zbl 1139.49303Ball, K. 4 2004 Some remarks on the geometry of convex sets. Zbl 0651.52010Ball, Keith 3 1988 Strange curves, counting rabbits, and other mathematical explorations. Zbl 1094.00002Ball, Keith 2 2003 A sharp combinatorial version of Vaaler’s theorem. Zbl 1250.52008Ball, K. M.; Prodromou, M. 1 2009 The legacy of Jean Bourgain in geometric functional analysis. Zbl 1471.46010Ball, Keith 1 2021 The legacy of Jean Bourgain in geometric functional analysis. Zbl 1471.46010Ball, Keith 1 2021 A reverse entropy power inequality for log-concave random vectors. Zbl 1407.94055Ball, Keith; Nayar, Piotr; Tkocz, Tomasz 5 2016 The Ribe programme. Zbl 1303.46019Ball, Keith 14 2013 Chebyshev constants for the unit circle. Zbl 1276.30013Ambrus, Gergely; Ball, Keith M.; Erdélyi, Tamás 11 2013 \(L^1\)-smoothing for the Ornstein-Uhlenbeck semigroup. Zbl 1267.47066Ball, K.; Barthe, F.; Bednorz, W.; Oleszkiewicz, K.; Wolff, P. 6 2013 Entropy jumps for isotropic log-concave random vectors and spectral gap. Zbl 1264.94077Ball, Keith; Nguyen, Van Hoang 9 2012 Stability of some versions of the Prékopa-Leindler inequality. Zbl 1217.60014Ball, Keith M.; Böröczky, Károly J. 13 2011 Stability of the Prékopa-Leindler inequality. Zbl 1205.39024Ball, Keith M.; Böröczky, Károly jun. 13 2010 A sharp combinatorial version of Vaaler’s theorem. Zbl 1250.52008Ball, K. M.; Prodromou, M. 1 2009 Solution of Shannon’s problem on the monotonicity of entropy. Zbl 1062.94006Artstein, Shiri; Ball, Keith M.; Barthe, Franck; Naor, Assaf 39 2004 On the rate of convergence in the entropic central limit theorem. Zbl 1055.94004Artstein, Shiri; Ball, Keith M.; Barthe, Franck; Naor, Assaf 20 2004 An elementary introduction to monotone transportation. Zbl 1139.49303Ball, K. 4 2004 The central limit problem for convex bodies. Zbl 1033.52003Anttila, Milla; Ball, Keith; Perissinaki, Irini 56 2003 Entropy jumps in the presence of a spectral gap. Zbl 1036.94003Ball, Keith; Barthe, Franck; Naor, Assaf 20 2003 Strange curves, counting rabbits, and other mathematical explorations. Zbl 1094.00002Ball, Keith 2 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 1058.11051Ball, Keith; Rivoal, Tanguy 74 2001 The complex plank problem. Zbl 1030.46008Ball, Keith M. 24 2001 Convex geometry and functional analysis. Zbl 1017.46004Ball, Keith 23 2001 Concentration of the distance in finite-dimensional normed spaces. Zbl 0956.46009Arias-de-Reyna, Juan; Ball, Keith; Villa, Rafael 17 1998 The subindependence of coordinate slabs in \(l_p^n\) balls. Zbl 0918.60013Ball, Keith; Perissinaki, Irini 14 1998 An elementary introduction to modern convex geometry. Zbl 0901.52002Ball, Keith 130 1997 Mahler’s conjecture and wavelets. Zbl 0824.52005Ball, K. 10 1995 Sharp uniform convexity and smoothness inequalities for trace norms. Zbl 0803.47037Ball, Keith; Carlen, Eric A.; Lieb, Elliott H. 135 1994 Completely monotonic rational functions and Hall’s marriage theorem. Zbl 0868.26009Ball, Keith 12 1994 The reverse isoperimetric problem for Gaussian measure. Zbl 0788.52010Ball, Keith 18 1993 Ellipsoids of maximal volume in convex bodies. Zbl 0747.52007Ball, Keith 55 1992 Markov chains, Riesz transforms and Lipschitz maps. Zbl 0788.46050Ball, K. 51 1992 Eigenvalues of euclidean distance matrices. Zbl 0746.41002Ball, Keith 20 1992 A lower bound for the optimal density of lattice packings. Zbl 0776.52006Ball, Keith 19 1992 On the sensitivity of radial basis interpolation to minimal data separation distance. Zbl 0771.41001Ball, K.; Sivakumar, N.; Ward, J. D. 13 1992 Volume ratios and a reverse isoperimetric inequality. Zbl 0694.46010Ball, K. M. 106 1991 Shadows of convex bodies. Zbl 0746.52007Ball, Keith 54 1991 The plank problem for symmetric bodies. Zbl 0702.52003Ball, Keith 25 1991 Normed spaces with a weak-Gordon-Lewis property. Zbl 0762.46004Ball, Keith 22 1991 The entropy of convex bodies with ”few” extreme points. Zbl 0746.60005Ball, Keith; Pajor, Alain 18 1991 Isometric embedding in \(\ell_ p\)-spaces. Zbl 0712.46008Ball, Keith 16 1990 Convex bodies with few faces. Zbl 0704.52003Ball, Keith; Pajor, Alain 11 1990 Volumes of sections of cubes and related problems. Zbl 0674.46008Ball, Keith 25 1989 Logarithmically concave functions and sections of convex sets in \({\mathbb{R}}^ n\). Zbl 0642.52011Ball, Keith 87 1988 Some remarks on the geometry of convex sets. Zbl 0651.52010Ball, Keith 3 1988 Inequalities and sphere-packing in \(\ell _ p\). Zbl 0642.46021Ball, Keith 6 1987 Cube slicing in \({\mathbb{R}}^ n\). Zbl 0601.52005Ball, Keith 59 1986 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.