On the rate of convergence in the entropic central limit theorem

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Abstract

We study the rate at which entropy is produced by linear combinations of independent random variables which satisfy a spectral gap condition.

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Artstein, S., Ball, K. M., Barthe, F., & Naor, A. (2004). On the rate of convergence in the entropic central limit theorem. Probability Theory and Related Fields, 129(3), 381–390. https://doi.org/10.1007/s00440-003-0329-4

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