84 citations · 508 across the 36 of their papers we have counts for
Showing 2011 · math.FAShow all
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math.FA2011★ 36 cited
On the problem of reversibility of the entropy power inequality
Sergey G. Bobkov, Mokshay M. Madiman
As was shown recently by the authors, the entropy power inequality can be reversed for independent summands with sufficiently concave densities, when the distributions of the summa…
math.FA2011★ 78 cited
Reverse Brunn-Minkowski and reverse entropy power inequalities for convex measures
Sergey Bobkov, Mokshay Madiman
We develop a reverse entropy power inequality for convex measures, which may be seen as an affine-geometric inverse of the entropy power inequality of Shannon and Stam. The special…
math.FA2011★ 35 cited
Dimensional behaviour of entropy and information
Sergey Bobkov, Mokshay Madiman
We develop an information-theoretic perspective on some questions in convex geometry, providing for instance a new equipartition property for log-concave probability measures, some…