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Journal articles
Entropy jumps in the presence of a spectral gap
Abstract : It is shown that if X is a random variable whose density satisfies a Poincare inequality, and Y is an independent copy of X, then the entropy of (X + Y)/root2 is greater than that of X by a fixed fraction of the entropy gap between X and the Gaussian of the same variance. The argument uses a new formula for the Fisher information of a marginal, which can be viewed as a local, reverse form of the Brunn-Minkowski inequality (in its functional form due to A. Prekopa and L Leindler).
https://hal-upec-upem.archives-ouvertes.fr/hal-00693115
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Submitted on : Tuesday, May 1, 2012 - 8:24:28 PM
Last modification on : Tuesday, October 19, 2021 - 4:07:07 PM
Contributor : Admin Lama Connect in order to contact the contributor
Submitted on : Tuesday, May 1, 2012 - 8:24:28 PM
Last modification on : Tuesday, October 19, 2021 - 4:07:07 PM