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Bibliographic Details
Main Authors: Marsiglietti, Arnaud, Melbourne, James
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2510.25869
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Table of Contents:
  • We present an extension of the famous Littlewood-Offord problem when Bernoulli distributions are replaced with discrete log-concave distributions. A variant of the Littlewood-Offord problem for arithmetic progressions, as well as an entropic version, is also discussed. Along the way, we recover and extend a result of Madiman and Woo (2015) on the entropy power inequality for discrete uniform distributions.