Geodesic
A reverse entropy power inequality for log-concave random vectors
Keith Ball 1   ; Piotr Nayar 2   ; Tomasz Tkocz 1
1 Mathematics Institute University of Warwick Coventry CV4 7AL, UK
2 Institute of Mathematics & Applications Minneapolis, MN 55455, U.S.A.
Studia Mathematica, Tome 235 (2016) no. 1, pp. 17-30 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We prove that the exponent of the entropy of one-dimensional projections of a log-concave random vector defines a $1/5$-seminorm. We make two conjectures concerning reverse entropy power inequalities in the log-concave setting and discuss some examples.
DOI : 10.4064/sm8418-6-2016
Keywords: prove exponent entropy one dimensional projections log concave random vector defines seminorm make conjectures concerning reverse entropy power inequalities log concave setting discuss examples

Keith Ball  1   ; Piotr Nayar  2   ; Tomasz Tkocz  1

1 Mathematics Institute University of Warwick Coventry CV4 7AL, UK
2 Institute of Mathematics & Applications Minneapolis, MN 55455, U.S.A. 
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Keith Ball; Piotr Nayar; Tomasz Tkocz. A reverse entropy power inequality for log-concave random vectors. Studia Mathematica, Tome 235 (2016) no. 1, pp. 17-30. doi: 10.4064/sm8418-6-2016

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