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A note on the convex infimum convolution inequality

Probability 2015-05-04 v1

Abstract

We characterize the symmetric measures which satisfy the one dimensional convex infimum convolution inequality of Maurey. For these measures the tensorization argument yields the two level Talagrand's concentration inequalities for their products and convex sets in Rn\mathbb{R}^n.

Keywords

Cite

@article{arxiv.1505.00240,
  title  = {A note on the convex infimum convolution inequality},
  author = {Naomi Feldheim and Arnaud Marsiglietti and Piotr Nayar and Jing Wang},
  journal= {arXiv preprint arXiv:1505.00240},
  year   = {2015}
}

Comments

12 pages

R2 v1 2026-06-22T09:26:44.877Z