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arXiv · 1311.4871

On stopping Fock-space processes

Alexander C. R. Belton
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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.

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Alexander C. R. Belton. 2013-11-19. On stopping Fock-space processes. https://arxiv.org/abs/1311.4871

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