Keith Ball - Selected Publications#


Ball, Keith Cube slicing in R^n. Proc. Amer. Math. Soc. 97 (1986), no. 3, 465–473.

Ball, Keith Volume ratios and a reverse isoperimetric inequality. J. London Math. Soc. (2) 44 (1991), no. 2, 351–359.

Ball, Keith The plank problem for symmetric bodies. Invent. Math. 104 (1991), no. 3, 535–543.

Ball, Keith Volume ratios and a reverse isoperimetric inequality. J. London Math. Soc. (2) 44 (1991), no. 2, 351–359.

Ball, Keith A lower bound for the optimal density of lattice packings. Internat. Math. Res. Notices 1992, no. 10, 217–221.

Ball, K. Markov chains, Riesz transforms and Lipschitz maps. Geom. Funct. Anal. 2 (1992), no. 2, 137–172.

Ball, Keith The reverse isoperimetric problem for Gaussian measure. Discrete Comput. Geom. 10 (1993), no. 4, 411–420.

Ball, Keith; Carlen, Eric A.; Lieb, Elliott H. Sharp uniform convexity and smoothness inequalities for trace norms. Invent. Math. 115 (1994), no. 3, 463–482.

Ball, Keith; Rivoal, Tanguy Irrationalité d'une infinité de valeurs de la fonction zêta aux entiers impairs. (French) [Irrationality of infinitely many values of the zeta function at odd integers] Invent. Math. 146 (2001), no. 1, 193–207.

Anttila, Milla; Ball, Keith; Perissinaki, Irini The central limit problem for convex bodies. Trans. Amer. Math. Soc. 355 (2003), no. 12, 4723–4735.

Ball, Keith; Barthe, Franck; Naor, Assaf Entropy jumps in the presence of a spectral gap. Duke Math. J. 119 (2003), no. 1, 41–63.

Artstein, Shiri; Ball, Keith M.; Barthe, Franck; Naor, Assaf Solution of Shannon's problem on the monotonicity of entropy. J. Amer. Math. Soc. 17 (2004), no. 4, 975–982.

Ball, Keith; Nguyen, Van Hoang Entropy jumps for isotropic log-concave random vectors and spectral gap. Studia Math. 213 (2012), no. 1, 81–96

Ball, Keith The Ribe programme. Séminaire Bourbaki. Vol. 2011/2012. Exposés 1043–1058. Astérisque No. 352 (2013), Exp. No. 1047, viii, 147–159.

Ball, Keith Rational approximations to the zeta function. Proc. A. 475 (2019), no. 2225, 20190033, 19 pp.

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