73 citations · 118 across the 17 of their papers we have counts for
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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…
Irreducible -modular representations of unramified
Ramla Abdellatif, Peng Xu
Let be a unramified quadratic extension of non-archimedean local fields of odd characteristic , and be the unramified unitary group . For an irreducible…
A Solution to Time-Varying Markov Decision Processes
Lantao Liu, Gaurav S. Sukhatme
We consider a decision-making problem where the environment varies both in space and time. Such problems arise naturally when considering e.g., the navigation of an underwater robo…
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…