English

Gaussian multiplicative Chaos for symmetric isotropic matrices

Probability 2015-06-05 v2 Mathematical Physics math.MP

Abstract

Motivated by isotropic fully developed turbulence, we define a theory of symmetric matrix valued isotropic Gaussian multiplicative chaos. Our construction extends the scalar theory developed by J.P. Kahane in 1985.

Keywords

Cite

@article{arxiv.1207.1582,
  title  = {Gaussian multiplicative Chaos for symmetric isotropic matrices},
  author = {Laurent Chevillard and Rémi Rhodes and Vincent Vargas},
  journal= {arXiv preprint arXiv:1207.1582},
  year   = {2015}
}