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A reverse entropy power inequality for log-concave random vectors
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Ball, Keith M., Nayar, Piotr and Tkocz, Tomasz (2016) A reverse entropy power inequality for log-concave random vectors. Studia Mathematica, 235 (1). pp. 17-30. doi:10.4064/sm8418-6-2016 ISSN 0039-3223.
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Official URL: https://doi.org/10.4064/sm8418-6-2016
Abstract
We prove that the exponent of the entropy of one-dimensional projections of a log-concave random vector defines a 1/5-seminorm. We make two conjectures concerning reverse entropy power inequalities in the log-concave setting and discuss some examples.
| Item Type: | Journal Article | |||||||||
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| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | |||||||||
| Library of Congress Subject Headings (LCSH): | Entropy, Concave functions, Convex domains | |||||||||
| Journal or Publication Title: | Studia Mathematica | |||||||||
| Publisher: | Polska Akademia Nauk | |||||||||
| ISSN: | 0039-3223 | |||||||||
| Official Date: | 23 September 2016 | |||||||||
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| Volume: | 235 | |||||||||
| Number: | 1 | |||||||||
| Page Range: | pp. 17-30 | |||||||||
| DOI: | 10.4064/sm8418-6-2016 | |||||||||
| Status: | Peer Reviewed | |||||||||
| Publication Status: | Published | |||||||||
| Access rights to Published version: | Restricted or Subscription Access | |||||||||
| Date of first compliant deposit: | 15 June 2016 | |||||||||
| Date of first compliant Open Access: | 22 May 2018 | |||||||||
| RIOXX Funder/Project Grant: |
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