English

Product systems associated to compound Poisson Processes

Operator Algebras 2020-08-03 v1

Abstract

In this paper, we consider a simple test case of multiparameter product systems that arise out of random measures. We associate a product system to a stationary Poisson process and a stationary compound Poisson process. We show that the resulting E0E_0-semigroups are CCR flows.

Keywords

Cite

@article{arxiv.2007.15844,
  title  = {Product systems associated to compound Poisson Processes},
  author = {S. Sundar},
  journal= {arXiv preprint arXiv:2007.15844},
  year   = {2020}
}
R2 v1 2026-06-23T17:32:48.023Z