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How to differentiate a quantum stochastic cocycle.

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

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How to differentiate a quantum stochastic cocycle. / Lindsay, J. Martin.
In: Communications on Stochastic Analysis, Vol. 4, No. 4, 12.2010, p. 641-660.

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

Harvard

Lindsay, JM 2010, 'How to differentiate a quantum stochastic cocycle.', Communications on Stochastic Analysis, vol. 4, no. 4, pp. 641-660. <https://www.math.lsu.edu/cosa/4-4-10[267].pdf>

APA

Lindsay, J. M. (2010). How to differentiate a quantum stochastic cocycle. Communications on Stochastic Analysis, 4(4), 641-660. https://www.math.lsu.edu/cosa/4-4-10[267].pdf

Vancouver

Lindsay JM. How to differentiate a quantum stochastic cocycle. Communications on Stochastic Analysis. 2010 Dec;4(4):641-660.

Author

Lindsay, J. Martin. / How to differentiate a quantum stochastic cocycle. In: Communications on Stochastic Analysis. 2010 ; Vol. 4, No. 4. pp. 641-660.

Bibtex

@article{337b8ab0a8b544cdb6d25f2bab22c273,
title = "How to differentiate a quantum stochastic cocycle.",
abstract = "Two new approaches to the infinitesimal characterisation of quantum stochastic cocycles are reviewed. The first concerns mapping cocycles on an operator space and demonstrates the role of H\{"}older continuity; the second concerns contraction operator cocycles on a Hilbert space and shows how holomorphic assumptions yield cocycles enjoying an infinitesimal characterisation which goes beyond the scope of quantum stochastic differential equations.",
keywords = "Noncommutative probability, quantum stochastic cocycle, E_0-semigroup, CCR flow, holomorphic semigroup.",
author = "Lindsay, {J. Martin}",
note = "17 pages, as preprint",
year = "2010",
month = dec,
language = "English",
volume = "4",
pages = "641--660",
journal = "Communications on Stochastic Analysis",
issn = "0973-9599",
publisher = "Serials Publications",
number = "4",

}

RIS

TY - JOUR

T1 - How to differentiate a quantum stochastic cocycle.

AU - Lindsay, J. Martin

N1 - 17 pages, as preprint

PY - 2010/12

Y1 - 2010/12

N2 - Two new approaches to the infinitesimal characterisation of quantum stochastic cocycles are reviewed. The first concerns mapping cocycles on an operator space and demonstrates the role of H\"older continuity; the second concerns contraction operator cocycles on a Hilbert space and shows how holomorphic assumptions yield cocycles enjoying an infinitesimal characterisation which goes beyond the scope of quantum stochastic differential equations.

AB - Two new approaches to the infinitesimal characterisation of quantum stochastic cocycles are reviewed. The first concerns mapping cocycles on an operator space and demonstrates the role of H\"older continuity; the second concerns contraction operator cocycles on a Hilbert space and shows how holomorphic assumptions yield cocycles enjoying an infinitesimal characterisation which goes beyond the scope of quantum stochastic differential equations.

KW - Noncommutative probability

KW - quantum stochastic cocycle

KW - E_0-semigroup

KW - CCR flow

KW - holomorphic semigroup.

M3 - Journal article

VL - 4

SP - 641

EP - 660

JO - Communications on Stochastic Analysis

JF - Communications on Stochastic Analysis

SN - 0973-9599

IS - 4

ER -