Some entropy properties of discrete random variables
Duration: 40 mins 45 secs
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Description: |
Johnson, O
Thursday 26th July 2018 - 09:45 to 10:30 |
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Created: | 2018-07-27 16:33 |
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Collection: | Mathematical Challenges in Quantum Information |
Publisher: | Isaac Newton Institute |
Copyright: | Johnson, O |
Language: | eng (English) |
Distribution: | World (downloadable) |
Explicit content: | No |
Aspect Ratio: | 16:9 |
Screencast: | No |
Bumper: | UCS Default |
Trailer: | UCS Default |
Abstract: | It is well-known that Gaussian random variables have many attractive properties: they are maximum entropy, they are stable under addition and scaling, they give equality in the Entropy Power Inequality (and hence give sharp log-Sobolev inequalities) and have good entropy concavity properties. I will discuss the extent to which results of this kind can be formulated for discrete random variables, and how they relate to ideas of discrete log-concavity.
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