154 citations · 1.3k across the 48 of their papers we have counts for
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math.CA2016
The norm of the Fourier transform on compact or discrete abelian groups
Mokshay Madiman, Peng Xu
We calculate the norm of the Fourier operator from to when is an infinite locally compact abelian group that is, furthermore, compact or discrete. This…
cs.IT2016★ 73 cited
Forward and Reverse Entropy Power Inequalities in Convex Geometry
Mokshay Madiman, James Melbourne, Peng Xu
The entropy power inequality, which plays a fundamental role in information theory and probability, may be seen as an analogue of the Brunn-Minkowski inequality. Motivated by this…
math.PR2016★ 6 cited
A combinatorial approach to small ball inequalities for sums and differences
Jiange Li, Mokshay Madiman
Small ball inequalities have been extensively studied in the setting of Gaussian processes and associated Banach or Hilbert spaces. In this paper, we focus on studying small ball p…