An extension of a theorem of Chevet

Olivier Guédon; Fabien Souli

An extension of a theorem of Chevet

Functional Analysis 2026-07-10 v1 Probability

Authors: Olivier Guédon , Fabien Souli

Abstract

We adopt a modern approach to extend a comparison inequality of Chevet for Gaussian processes to a broader class of functions. Furthermore, we consider centered Gaussian random vectors associated with a family of $n+1$ vectors on the unit sphere $S^{n-1}$ and investigate configurations of the vertices for which these new functionals could be maximum for the regular simplex.

Keywords

Gaussian processes comparison inequalities regular simplex random vectors Chevet theorem

Cite

@article{arxiv.2607.09311,
  title  = {An extension of a theorem of Chevet},
  author = {Olivier Guédon and Fabien Souli},
  journal= {arXiv preprint arXiv:2607.09311},
  year   = {2026}
}