Entropy jumps for isotropic log-concave random vectors and spectral gap

S. G. Bobkov, Isoperimetric and analytic inequalities for log-concave probability measures , Ann. Probab. 27

1921

Earlier work this paper cites.

C. E. Shannon and W. Weaver, The Mathematical Theory of Communication , University of Illinois Press, Urbana, 1949

1949

Earlier work this paper cites.

A. J. Stam, Some inequalities satisfied by the quantities of information of Fisher and Shannon , Inform. and Control 2

1959

Earlier work this paper cites.

I. Csiszár, Informationstheoretische Konvergenzbegriffe im Raum der Wahrscheinlichkeitsverteilungen , Magyar Tud. Akad. Mat. Kutató Int. Kozl. 7

1962

Earlier work this paper cites.

M. S. Pinsker, Information and Information Stability of Random Variables and Processes , Holden-Day, San Francisco, 1964

1964

Earlier work this paper cites.

N. M. Blachman, The convolution inequality for entropy powers , IEEE Trans. Inform. Theory 2

1965

Earlier work this paper cites.

A. Prékopa, A. On logarithmic concave measures and functions , Acad Sci Math (Szeged) 34

1973

Earlier work this paper cites.

L. Gross, Logarithmic Sobolev Inequalities , Amer. J. Math. 97

1975

Earlier work this paper cites.

D. Bakry and M. Émery , Diffusions hypercontractives

1985

Cited alongside, same era.

A. R. Barron, Entropy and the central limit theorem , Ann. Probab. 14

1986

Cited alongside, same era.

K. Ball, Logarithmically concave functions and sections of convex sets in R n R^{n} , Studia Math. 88

1988

Cited alongside, same era.

V. Milman and A. Pajor, Isotropic position and inertia ellipsoids and zonoids of the unit ball of a normed n n -dimensional space , in Geometric aspects of functional analysis (1987-88), Lecture Notes in Math., Vol. 1376, Springer, Berlin, (1989), 64–104

1989

Cited alongside, same era.

E. A. Carlen, Superadditivity of Fisher’s information and logarithmic Sobolev inequalities , J. Funct. Anal. 101

1991

Cited alongside, same era.

K. Ball, F. Barthe and A. Naor, Entropy jumps in the presence of a spectral gap

2003

Later among the works it cites.

A. R. Barron, O. Johnson, Fisher information inequalities and the central limit theorem

2004

Later among the works it cites.

B. Klartag, On convex perturbations with a bounded isotropic constant , Geom. and Funct. Anal. 16

2006

Later among the works it cites.

M. Fradelizi and M. Meyer, Increasing functions and inverse Santaló inequality for unconditional functions , Positivity 12

2008

Later among the works it cites.

S. G. Bobkov and M. Madiman, Dimensional behaviour of entropy and information , C. R. Math. Acad. Sci. Paris 349

2011

Later among the works it cites.