P. Nayar

most citedA note on the convex infimum convolution inequality

6 citations · 6 across the 3 of their papers we have counts for

collaborators

3 papers

math.PR2015

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 $(M, d, μ)$ with a subgaussian constant $σ^{2} (μ)$ and any set $A \subset M$ we have $σ^{2} (μ_{A}) \leq c lo g (e / μ (A)) σ^{2} (μ)$ , wh…

math.PR2015★ 6 cited

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…

math.PR2015

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…