Entropy jumps in the presence of a spectral gap (Q1409333)
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scientific article; zbMATH DE number 1991038
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Entropy jumps in the presence of a spectral gap |
scientific article; zbMATH DE number 1991038 |
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Entropy jumps in the presence of a spectral gap (English)
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13 October 2003
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Let \(X\) be a random variable whose density satisfies a Poincaré inequality and \(Y\) be an independent copy of \(X\). The authors show that the entropy of \((X + Y)/\sqrt 2\) is greater than that of \(X\) by a fixed fraction of the entropy gap between \(X\) and the Gaussian with the same variance.
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entropy gap
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0.86054444
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0.8314862
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0.82896847
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