no. G2
Analyse fonctionnelle, Probabilités
Entropy and Information jump for log-concave vectors
Bizeul, Pierre1 
1Institut de Mathématiques de Jussieu-Paris Rive Gauche, Sorbonne Université, 4 place de Jussieu 75005 Paris, France
Comptes Rendus. Mathématique, Tome 361 (2023) no. G2, pp. 487-493

We extend the result of Ball and Nguyen on the jump of entropy under convolution for log-concave random vectors. We show that the result holds for any pair of vectors (not necessarily identically distributed) and that a similar inequality holds for the Fisher information, thus providing a quantitative Blachmann–Stam inequality.

Reçu le :
Accepté le :
Publié le :
DOI : 10.5802/crmath.390
Classification : 94A17

Bizeul, Pierre  1

1 Institut de Mathématiques de Jussieu-Paris Rive Gauche, Sorbonne Université, 4 place de Jussieu 75005 Paris, France
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits
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     title = {Entropy and {Information} jump for log-concave vectors},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {487--493},
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     url = {https://numdam.org/articles/10.5802/crmath.390/}
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Bizeul, Pierre. Entropy and Information jump for log-concave vectors. Comptes Rendus. Mathématique, Tome 361 (2023) no. G2, pp. 487-493. doi: 10.5802/crmath.390

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