Entropic exercises around the Kneser–Poulsen conjecture-Reference-Cited by-同舟云学术

Entropic exercises around the Kneser–Poulsen conjecture

Published:2023-06-06 Issue:3 Volume:69 Page:841-866
ISSN:0025-5793
Container-title:Mathematika
language:en
Short-container-title:Mathematika

Author:

Aishwarya Gautam¹,Alam Irfan²,Li Dongbin³,Myroshnychenko Sergii⁴,Zatarain‐Vera Oscar⁵

Affiliation:

1. School of Mathematical Sciences Tel Aviv University Tel Aviv‐Yafo Israel

2. Department of Mathematics University of Pennsylvania Philadelphia Pennsylvania USA

3. Department of Mathematical Sciences University of Delaware Newark Delaware USA

4. Department of Mathematical Sciences Lakehead University Barrie ON Canada

5. Department of Mathematics Centre College Danville Kentucky USA

Abstract

AbstractWe develop an information‐theoretic approach to study the Kneser–Poulsen conjecture in discrete geometry. This leads us to a broad question regarding whether Rényi entropies of independent sums decrease when one of the summands is contracted by a 1‐Lipschitz map. We answer this question affirmatively in various cases.

Funder

Israel Science Foundation

Publisher

Wiley

Subject

General Mathematics

Link

https://londmathsoc.onlinelibrary.wiley.com/doi/pdf/10.1112/mtk.12210

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