Edit Profile Ball, Keith Martin Compute Distance To: Compute 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 all top 5 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 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0803.47037Ball, Keith; Carlen, Eric A.; Lieb, Elliott H. 123 1994 An elementary introduction to modern convex geometry. Zbl 0901.52002Ball, Keith 112 1997 Volume ratios and a reverse isoperimetric inequality. Zbl 0694.46010Ball, K. M. 90 1991 Logarithmically concave functions and sections of convex sets in \({\mathbb{R}}^ n\). Zbl 0642.52011Ball, Keith 82 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 70 2001 Cube slicing in \({\mathbb{R}}^ n\). Zbl 0601.52005Ball, Keith 55 1986 Shadows of convex bodies. Zbl 0746.52007Ball, Keith 50 1991 The central limit problem for convex bodies. Zbl 1033.52003Anttila, Milla; Ball, Keith; Perissinaki, Irini 49 2003 Ellipsoids of maximal volume in convex bodies. Zbl 0747.52007Ball, Keith 48 1992 Markov chains, Riesz transforms and Lipschitz maps. Zbl 0788.46050Ball, K. 47 1992 Solution of Shannon’s problem on the monotonicity of entropy. Zbl 1062.94006Artstein, Shiri; Ball, Keith M.; Barthe, Franck; Naor, Assaf 36 2004 The plank problem for symmetric bodies. Zbl 0702.52003Ball, Keith 22 1991 Normed spaces with a weak-Gordon-Lewis property. Zbl 0762.46004Ball, Keith 22 1991 The complex plank problem. Zbl 1030.46008Ball, Keith M. 21 2001 Entropy jumps in the presence of a spectral gap. Zbl 1036.94003Ball, Keith; Barthe, Franck; Naor, Assaf 20 2003 Volumes of sections of cubes and related problems. Zbl 0674.46008Ball, Keith 20 1989 Eigenvalues of euclidean distance matrices. Zbl 0746.41002Ball, Keith 19 1992 On the rate of convergence in the entropic central limit theorem. Zbl 1055.94004Artstein, Shiri; Ball, Keith M.; Barthe, Franck; Naor, Assaf 19 2004 Convex geometry and functional analysis. Zbl 1017.46004Ball, Keith 18 2001 A lower bound for the optimal density of lattice packings. Zbl 0776.52006Ball, Keith 18 1992 The entropy of convex bodies with ”few” extreme points. Zbl 0746.60005Ball, Keith; Pajor, Alain 17 1991 Concentration of the distance in finite-dimensional normed spaces. Zbl 0956.46009Arias-de-Reyna, Juan; Ball, Keith; Villa, Rafael 16 1998 Isometric embedding in \(\ell_ p\)-spaces. Zbl 0712.46008Ball, Keith 15 1990 The subindependence of coordinate slabs in \(l_p^n\) balls. Zbl 0918.60013Ball, Keith; Perissinaki, Irini 14 1998 The reverse isoperimetric problem for Gaussian measure. Zbl 0788.52010Ball, Keith 14 1993 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 Stability of the Prékopa-Leindler inequality. Zbl 1205.39024Ball, Keith M.; Böröczky, Károly jun. 13 2010 The Ribe programme. Zbl 1303.46019Ball, Keith 12 2013 Convex bodies with few faces. Zbl 0704.52003Ball, Keith; Pajor, Alain 11 1990 Completely monotonic rational functions and Hall’s marriage theorem. Zbl 0868.26009Ball, Keith 10 1994 Entropy jumps for isotropic log-concave random vectors and spectral gap. Zbl 1264.94077Ball, Keith; Nguyen, Van Hoang 9 2012 Chebyshev constants for the unit circle. Zbl 1276.30013Ambrus, Gergely; Ball, Keith M.; Erdélyi, Tamás 9 2013 Mahler’s conjecture and wavelets. Zbl 0824.52005Ball, K. 8 1995 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. 5 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. 3 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 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 12 2013 Chebyshev constants for the unit circle. Zbl 1276.30013Ambrus, Gergely; Ball, Keith M.; Erdélyi, Tamás 9 2013 \(L^1\)-smoothing for the Ornstein-Uhlenbeck semigroup. Zbl 1267.47066Ball, K.; Barthe, F.; Bednorz, W.; Oleszkiewicz, K.; Wolff, P. 5 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 Solution of Shannon’s problem on the monotonicity of entropy. Zbl 1062.94006Artstein, Shiri; Ball, Keith M.; Barthe, Franck; Naor, Assaf 36 2004 On the rate of convergence in the entropic central limit theorem. Zbl 1055.94004Artstein, Shiri; Ball, Keith M.; Barthe, Franck; Naor, Assaf 19 2004 An elementary introduction to monotone transportation. Zbl 1139.49303Ball, K. 3 2004 The central limit problem for convex bodies. Zbl 1033.52003Anttila, Milla; Ball, Keith; Perissinaki, Irini 49 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 70 2001 The complex plank problem. Zbl 1030.46008Ball, Keith M. 21 2001 Convex geometry and functional analysis. Zbl 1017.46004Ball, Keith 18 2001 Concentration of the distance in finite-dimensional normed spaces. Zbl 0956.46009Arias-de-Reyna, Juan; Ball, Keith; Villa, Rafael 16 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 112 1997 Mahler’s conjecture and wavelets. Zbl 0824.52005Ball, K. 8 1995 Sharp uniform convexity and smoothness inequalities for trace norms. Zbl 0803.47037Ball, Keith; Carlen, Eric A.; Lieb, Elliott H. 123 1994 Completely monotonic rational functions and Hall’s marriage theorem. Zbl 0868.26009Ball, Keith 10 1994 The reverse isoperimetric problem for Gaussian measure. Zbl 0788.52010Ball, Keith 14 1993 Ellipsoids of maximal volume in convex bodies. Zbl 0747.52007Ball, Keith 48 1992 Markov chains, Riesz transforms and Lipschitz maps. Zbl 0788.46050Ball, K. 47 1992 Eigenvalues of euclidean distance matrices. Zbl 0746.41002Ball, Keith 19 1992 A lower bound for the optimal density of lattice packings. Zbl 0776.52006Ball, Keith 18 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. 90 1991 Shadows of convex bodies. Zbl 0746.52007Ball, Keith 50 1991 The plank problem for symmetric bodies. Zbl 0702.52003Ball, Keith 22 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 17 1991 Isometric embedding in \(\ell_ p\)-spaces. Zbl 0712.46008Ball, Keith 15 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 20 1989 Logarithmically concave functions and sections of convex sets in \({\mathbb{R}}^ n\). Zbl 0642.52011Ball, Keith 82 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 55 1986 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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