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  • 1311.4871v3

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On stopping Fock-space processes

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On stopping Fock-space processes. / Belton, Alexander Charles Richard.
In: Journal of Theoretical Probability, Vol. 32, No. 1, 03.2019, p. 484-526.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Belton, ACR 2019, 'On stopping Fock-space processes', Journal of Theoretical Probability, vol. 32, no. 1, pp. 484-526. https://doi.org/10.1007/s10959-018-0851-z

APA

Belton, A. C. R. (2019). On stopping Fock-space processes. Journal of Theoretical Probability, 32(1), 484-526. https://doi.org/10.1007/s10959-018-0851-z

Vancouver

Belton ACR. On stopping Fock-space processes. Journal of Theoretical Probability. 2019 Mar;32(1):484-526. Epub 2018 Aug 9. doi: 10.1007/s10959-018-0851-z

Author

Belton, Alexander Charles Richard. / On stopping Fock-space processes. In: Journal of Theoretical Probability. 2019 ; Vol. 32, No. 1. pp. 484-526.

Bibtex

@article{450dd9f96a29481c9af565bee31191cd,
title = "On stopping Fock-space processes",
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{\textquoteright}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 Ω -semimartingale ",
author = "Belton, {Alexander Charles Richard}",
note = "The final publication is available at Springer via http://dx.doi.org/10.1007/s10959-018-0851-z",
year = "2019",
month = mar,
doi = "10.1007/s10959-018-0851-z",
language = "English",
volume = "32",
pages = "484--526",
journal = "Journal of Theoretical Probability",
issn = "0894-9840",
publisher = "Springer New York",
number = "1",

}

RIS

TY - JOUR

T1 - On stopping Fock-space processes

AU - Belton, Alexander Charles Richard

N1 - The final publication is available at Springer via http://dx.doi.org/10.1007/s10959-018-0851-z

PY - 2019/3

Y1 - 2019/3

N2 - 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.

AB - 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.

KW - Quantum stopping time

KW - Quantum stop time

KW - Quantum stochastic calculus

KW - Regular quantum semimartingale

KW - Regular Ω -semimartingale

U2 - 10.1007/s10959-018-0851-z

DO - 10.1007/s10959-018-0851-z

M3 - Journal article

VL - 32

SP - 484

EP - 526

JO - Journal of Theoretical Probability

JF - Journal of Theoretical Probability

SN - 0894-9840

IS - 1

ER -