On stopping Fock-space processes
Operator Algebras
2018-08-01 v3 Functional Analysis
Probability
Abstract
We consider the theory of stopping bounded processes within the framework of Hudson--Parthasarathy quantum stochastic calculus, for both identity and vacuum adaptedness. This provides significant new insight into Coquio's method of stopping (J. Funct. Anal. 238:149-180, 2006). Vacuum adaptedness is required to express certain quantum stochastic representations, and many results, including the proof of the optional-sampling theorem, take a more natural form.
Cite
@article{arxiv.1311.4871,
title = {On stopping Fock-space processes},
author = {Alexander C. R. Belton},
journal= {arXiv preprint arXiv:1311.4871},
year = {2018}
}
Comments
41 pages. To appear in the Journal of Theoretical Probability