Keith Ball

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All published works

Action	Title	Year	Authors
+	Convex geometry and its connections to harmonic analysis, functional analysis and probability theory	2023	Keith Ball
+ PDF Chat	A very short proof of the functional equation for ζ	2022	Keith Ball
+ PDF Chat	The legacy of Jean Bourgain in geometric functional analysis	2020	Keith Ball
+ PDF Chat	Rational approximations to the zeta function	2019	Keith Ball
+ PDF Chat	HADAMARD MATRICES AND 1‐FACTORIZATIONS OF COMPLETE GRAPHS	2019	Keith Ball Oscar Ortega‐Moreno Maria Prodromou
+	Wronskians and Linear Dependence of Formal Power Series	2016	Keith Ball Cynthia Parks Wai Yan Pong
+ PDF Chat	A reverse entropy power inequality for log-concave random vectors	2016	Keith Ball Piotr Nayar Tomasz Tkocz
+	A reverse entropy power inequality for log-concave random vectors	2015	Keith Ball Piotr Nayar Tomasz Tkocz
+	Convex Geometry and its Applications	2013	Keith Ball Martin Henk Monika Ludwig
+ PDF Chat	Chebyshev constants for the unit circle	2012	Gergely Ambrus Keith Ball Tamás Erdélyi
+	<i>L</i> <sup>1</sup> ‐SMOOTHING FOR THE ORNSTEIN–UHLENBECK SEMIGROUP	2012	Keith Ball Franck Barthe Witold Bednorz Krzysztof Oleszkiewicz Paweł Wolff
+	Entropy jumps for random vectors with log-concave density and spectral gap	2012	Keith Ball Van Hoang Nguyen
+	Entropy jumps for isotropic log-concave random vectors and spectral gap	2012	Keith Ball Van Hoang Nguyen
+ PDF Chat	Entropy jumps for isotropic log-concave random vectors and spectral gap	2012	Keith Ball Van Hoang Nguyen
+	The Ribe Programme	2011	Keith Ball
+	III.22 The Euclidean Algorithm and Continued Fractions	2010	Keith Ball
+	IV.26 High-Dimensional Geometry and Its Probabilistic Analogues	2010	Keith Ball
+	Convex Geometry and its Applications	2010	Keith Ball Martin Henk Monika Ludwig
+ PDF Chat	STABILITY OF THE PRÉKOPA–LEINDLER INEQUALITY	2010	Keith Ball Károly J. Böröczky
+ PDF Chat	Stability of some versions of the Prékopa–Leindler inequality	2010	Keith Ball Károly J. Böröczky
+	Stability of the Prékopa-Leindler inequality	2009	Károly J. Böröczky Keith Ball
+	A sharp combinatorial version of Vaaler's theorem	2009	Keith Ball Maria Prodromou
+	Stability of some versions of the Prékopa-Leindler inequality	2009	Károly J. Böröczky Keith Ball
+	High-dimensional geometry and its probabilistic analogue.	2008	Keith Ball
+	Konvexgeometrie	2007	Keith Ball Paul Goodey Peter M. Gruber
+	Volumes of sections of cubes and related problems	2006	Keith Ball
+	Solution of Shannon’s problem on the monotonicity of entropy	2004	Shiri Artstein Keith Ball Franck Barthe Assaf Naor
+ PDF Chat	On the rate of convergence in the entropic central limit theorem	2004	Shiri Artstein Keith Ball Franck Barthe Assaf Naor
+	An Elementary Introduction to Monotone Transportation	2004	Keith Ball
+ PDF Chat	Erratum to “The central limit problem for convex bodies”	2003	Milla Anttila Keith Ball Irini Perissinaki
+ PDF Chat	The central limit problem for convex bodies	2003	Milla Anttila Keith Ball Irini Perissinaki
+	Entropy jumps in the presence of a spectral gap	2003	Keith Ball Franck Barthe Assaf Naor
+	Sharp uniform convexity and smoothness inequalities for trace norms	2002	Keith Ball Eric A. Carlen Élliott H. Lieb
+	Irrationalité d’une infinité de valeurs de la fonction zêta aux entiers impairs	2001	Keith Ball Tanguy Rivoal
+	THE COMPLEX PLANK PROBLEM	2001	Keith Ball
+	THE COMPLEX PLANK PROBLEM	2001	Keith Ball
+	Convex Geometry and Functional Analysis	2001	Keith Ball
+	A remark on the slicing problem	2000	Keith Ball
+	The subindependence of coordinate slabs inl p n balls	1998	Keith Ball Irini Perissinaki
+ PDF Chat	Concentration of the distance in finite dimensional normed spaces	1998	Juan Arias de Reyna Keith Ball Rafael Villa
+	Convex Geometric Analysis	1998	Keith Ball Vitali Milman
+	An Elementary Introduction to Modern Convex Geometry	1997	Keith Ball
+ PDF Chat	Mahler's conjecture and wavelets	1995	Keith Ball
+	Sharp uniform convexity and smoothness inequalities for trace norms	1994	Keith Ball Eric A. Carlen Élliott H. Lieb
+	Completely Monotonic Rational Functions and Hall′s Marriage Theorem	1994	Keith Ball
+ PDF Chat	The reverse isoperimetric problem for Gaussian measure	1993	Keith Ball
+	Markov chains, Riesz transforms and Lipschitz maps	1992	Keith Ball
+ PDF Chat	Ellipsoids of maximal volume in convex bodies	1992	Keith Ball
+	Volume ratios and a reverse isoperimetric inequality	1992	Keith Ball
+	Convex bodies with few faces	1992	Keith Ball Alain Pajor
+ PDF Chat	The plank problem for symmetric bodies	1991	Keith Ball
+ PDF Chat	Volume Ratios and a Reverse Isoperimetric Inequality	1991	Keith Ball
+ PDF Chat	Shadows of Convex Bodies	1991	Keith Ball
+	The entropy of convex bodies with ‘few’ extreme points	1991	Keith Ball Alain Pajor
+	Normed spaces with a weak-Gordon-Lewis property	1991	Keith Ball
+ PDF Chat	Shadows of convex bodies	1991	Keith Ball
+	Ellipsoids of maximal volume in convex bodies	1990	Keith Ball
+ PDF Chat	Convex Bodies with Few Faces	1990	Keith Ball Alain Pajor
+	Isometric Embedding in lp-spaces	1990	Keith Ball
+ PDF Chat	Convex bodies with few faces	1990	Keith Ball Alain Pajor
+ PDF Chat	Logarithmically concave functions and sections of convex sets in $R^{n}$	1988	Keith Ball
+	Some remarks on the geometry of convex sets	1988	Keith Ball
+	Inequalities and sphere-packing inl p	1987	Keith Ball
+ PDF Chat	Cube slicing in 𝑅ⁿ	1986	Keith Ball

Common Coauthors

Coauthor	Papers Together
Franck Barthe	4
Károly J. Böröczky	4
Alain Pajor	4
Irini Perissinaki	3
Assaf Naor	3
Van Hoang Nguyen	3
Milla Anttila	2
Shiri Artstein	2
Piotr Nayar	2
Monika Ludwig	2
Tomasz Tkocz	2
Élliott H. Lieb	2
Maria Prodromou	2
Eric A. Carlen	2
Martin Henk	2
Vitali Milman	1
Tamás Erdélyi	1
Tanguy Rivoal	1
Rafael Villa	1
Oscar Ortega‐Moreno	1
Witold Bednorz	1
Wai Yan Pong	1
Juan Arias de Reyna	1
Krzysztof Oleszkiewicz	1
Paweł Wolff	1
Cynthia Parks	1
Paul Goodey	1
Peter M. Gruber	1
Gergely Ambrus	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Logarithmically concave functions and sections of convex sets in $R^{n}$	1988	Keith Ball	10
+ PDF Chat	A geometric inequality with applications to linear forms	1979	Jeffrey D. Vaaler	9
+ PDF Chat	Entropy production by block variable summation and central limit theorems	1991	Eric A. Carlen Avy Soffer	8
+	The Volume of Convex Bodies and Banach Space Geometry	1989	Gilles Pisier	7
+	Best constants in Young's inequality, its converse, and its generalization to more than three functions	1976	H. J. Brascamp Élliott H. Lieb	7
+ PDF Chat	Fisher information inequalities and the central limit theorem	2004	Oliver Johnson Andrew R. Barron	7
+	An Elementary Introduction to Modern Convex Geometry	1997	Keith Ball	7
+	Entropy jumps in the presence of a spectral gap	2003	Keith Ball Franck Barthe Assaf Naor	6
+ PDF Chat	Entropy and the Central Limit Theorem	1986	Andrew R. Barron	6
+	Logarithmic Sobolev Inequalities	1975	Leonard Gross	5
+	On Extensions of the Brunn-Minkowski and Prékopa-Leindler Theorems, Including Inequalities for Log Concave Functions, and with an Application to the Diffusion Equation	2002	H. J. Brascamp Élliott H. Lieb	5
+	Inequalities in Fourier Analysis	1975	William Beckner	5
+ PDF Chat	Slicing convex bodies—bounds for slice area in terms of the body’s covariance	1980	Douglas Hensley	5
+	Extremum Problems with Inequalities as Subsidiary Conditions	2013	Fritz John	5
+	Superadditivity of Fisher's information and logarithmic Sobolev inequalities	1991	Eric A. Carlen	5
+ PDF Chat	The Entropy Per Coordinate of a Random Vector is Highly Constrained Under Convexity Conditions	2011	Sergey G. Bobkov Mokshay Madiman	5
+ PDF Chat	Approximation of zonoids by zonotopes	1989	Jean Bourgain Joram Lindenstrauss Vitali Milman	5
+ PDF Chat	Isoperimetric and Analytic Inequalities for Log-Concave Probability Measures	1999	Sergey G. Bobkov	5
+	Extensions of Lipschitz mappings into a Hilbert space	1984	William B. Johnson Joram Lindenstrauss	4
+	Convex Bodies: The Brunn–Minkowski Theory	1993	Rolf Schneider	4
+ PDF Chat	Diffusions hypercontractives	1985	Dominique Bakry Michel Émery	4
+ PDF Chat	Problems on convex bodies	1956	Herbert Busemann C. M. Petty	4
+	On a Certain Converse of Hölder’s Inequality	1972	Л. Леиндлер	4
+	The existence of a centrally symmetric convex body with central sections that are unexpectedly small	1975	D. G. Larman C. A. Rogers	4
+	Isotropic position and inertia ellipsoids and zonoids of the unit ball of a normed n-dimensional space	2006	Vitali Milman Alain Pajor	4
+	New volume ratio properties for convex symmetric bodies in ? n	1987	Jean Bourgain Vitali Milman	4
+	An elementary introduction to modern convex geometry, in flavors of geometry	1997	KM Ball	4
+ PDF Chat	On type of metric spaces	1986	Jean Bourgain Vitali Milman Haim J. Wolfson	4
+ PDF Chat	On the modulus of smoothness and divergent series in Banach spaces.	1963	Joram Lindenstrauss	3
+ PDF Chat	Asymptotic Theory of Finite Dimensional Normed Spaces	1986	Vitali Milman Gideon Schechtman	3
+ PDF Chat	Cube slicing in 𝑅ⁿ	1986	Keith Ball	3
+	A refined Brunn–Minkowski inequality for convex sets	2009	Alessio Figalli Francesco Maggi Aldo Pratelli	3
+	Zonoids with minimal volume-product	1986	Shlomo Reisner	3
+ PDF Chat	Critères de convexité et inégalités intégrales	1977	Serge Dubuc	3
+	On extensions of the Brunn-Minkowski and Prékopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation	1976	H. J. Brascamp Élliott H. Lieb	3
+	Solution of Shannon’s problem on the monotonicity of entropy	2004	Shiri Artstein Keith Ball Franck Barthe Assaf Naor	3
+	Gaussian kernels have only Gaussian maximizers	1990	Élliott H. Lieb	3
+ PDF Chat	Dimensional behaviour of entropy and information	2011	Sergey G. Bobkov Mokshay Madiman	3
+	Gelfand numbers of operators with values in a Hilbert space	1988	Bernd Carl Alain Pajor	3
+	A mass transportation approach to quantitative isoperimetric inequalities	2010	Alessio Figalli Francesco Maggi Aldo Pratelli	3
+ PDF Chat	Regularity of gaussian processes	1987	Michel Talagrand	3
+	Martingales with values in uniformly convex spaces	1975	Gilles Pisier	3
+	Sections of convex bodies through their centroid	1997	Matthieu Fradelizi	3
+	Convex set functions ind-space	1975	Christer Borell	3
+ PDF Chat	The Brunn-Minkowski inequality	2002	Richard J. Gardner	3
+ PDF Chat	The dimension of almost spherical sections of convex bodies	1977	T. Figiel Joram Lindenstrauss Vitali Milman	3
+ PDF Chat	Entropy jumps for isotropic log-concave random vectors and spectral gap	2012	Keith Ball Van Hoang Nguyen	3
+ PDF Chat	Slicing the cube in ${\bf R}\sp{n}$ and probability (bounds for the measure of a central cube slice in ${\bf R}\sp{n}$ by probability methods)	1979	Douglas Hensley	3
+	Volumes of sections of cubes and related problems	2006	Keith Ball	3
+	Embeddings and Extensions in Analysis	1975	J. H. Wells L. R. Williams	2