English

Permanental Processes

Probability 2010-08-23 v1

Abstract

This is a survey of results about permanental processes, real valued positive processes which are a generalization of squares of Gaussian processes. In a certain sense the symmetric positive definite function that determines a Gaussian process is replaced by a function that is not necessarily symmetric nor positive definite, but that nevertheless determines a stochastic process. This is a new avenue of research with very many open problems.

Keywords

Cite

@article{arxiv.1008.3522,
  title  = {Permanental Processes},
  author = {Hana Kogan and Michael B. Marcus and Jay Rosen},
  journal= {arXiv preprint arXiv:1008.3522},
  year   = {2010}
}

Comments

31 pages

R2 v1 2026-06-21T16:03:21.427Z