On Stopping Fock-Space Processes

Alexander C. R. Belton ()
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Alexander C. R. Belton: Lancaster University

Journal of Theoretical Probability, 2019, vol. 32, issue 1, 484-526

Abstract: 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.

Keywords: Quantum stopping time; Quantum stop time; Quantum stochastic calculus; Regular quantum semimartingale; Regular $$\varOmega $$ Ω -semimartingale; Primary: 81S25; Secondary: 46L53; 60G40 (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s10959-018-0851-z

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