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An application of Brascamp-Lieb's inequality

Probability 2024-07-09 v1

Abstract

We use Brascamp-Lieb's inequality to obtain new decoupling inequalities for general Gaussian vectors, and for stationary cyclic Gaussian processes. In the second case, we use a version by Bump and Diaconis of the strong Szego limit theorem. This extends results of Klein, Landau and Shucker.

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Cite

@article{arxiv.1810.04402,
  title  = {An application of Brascamp-Lieb's inequality},
  author = {Michel Weber},
  journal= {arXiv preprint arXiv:1810.04402},
  year   = {2024}
}

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12 pagess