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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
}
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 -