@inproceedings{9ea38479243b49be9aff5ef0160484b7,
title = "A min-entropy power inequality for groups",
abstract = "We develop a general notion of rearrangement for certain metric groups, and prove a Hardy-Littlewood type inequality. Combining this with a characterization of the extreme points of the set of probability measures with bounded densities with respect to a reference measure, we establish a general min-entropy inequality for convolutions. Special attention is paid to the integers where a min-entropy power inequality is conjectured and a partial result proved.",
keywords = "Infinity entropy power inequality, Max density, R{\'e}nyi entropy",
author = "Peng Xu and James Melbourne and Mokshay Madiman",
year = "2017",
month = aug,
day = "9",
doi = "10.1109/ISIT.2017.8006613",
language = "English (US)",
series = "IEEE International Symposium on Information Theory - Proceedings",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "674--678",
booktitle = "2017 IEEE International Symposium on Information Theory, ISIT 2017",
note = "2017 IEEE International Symposium on Information Theory, ISIT 2017 ; Conference date: 25-06-2017 Through 30-06-2017",
}