52 citations · 130 across the 26 of their papers we have counts for
4 papers · 1 filter
A reverse entropy power inequality for log-concave random vectors
Keith Ball, Piotr Nayar, Tomasz Tkocz
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 p…
Concentration Properties of Restricted Measures with Applications to Non-Lipschitz Functions
Sergey Bobkov, Piotr Nayar, Prasad Tetali
We show that for any metric probability space with a subgaussian constant and any set we have , wh…
A note on the convex infimum convolution inequality
Naomi Feldheim, Arnaud Marsiglietti, Piotr Nayar +1
We characterize the symmetric measures which satisfy the one dimensional convex infimum convolution inequality of Maurey. For these measures the tensorization argument yields the t…
On the Brunn-Minkowski inequality for general measures with applications to new isoperimetric-type inequalities
Galyna Livshyts, Arnaud Marsiglietti, Piotr Nayar +1
In this paper we present new versions of the classical Brunn-Minkowski inequality for different classes of measures and sets. We show that the inequality \[ μ(λA + (1-λ)B)^{1/n} \g…