6 citations · 7 across the 6 of their papers we have counts for
4 papers · 1 filter
From the Bernoulli Factory to a Dice Enterprise via Perfect Sampling of Markov Chains
Giulio Morina, Krzysztof Latuszynski, Piotr Nayar +1
Given a -coin that lands heads with unknown probability , we wish to produce an -coin for a given function . This problem is commonly known…
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…