How to differentiate a quantum stochastic cocycle.

Lindsay, J. Martin (2010) How to differentiate a quantum stochastic cocycle. Communications on Stochastic Analysis, 4 (4). pp. 641-660. ISSN 0973-9599

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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.

Item Type:

Journal Article

Journal or Publication Title:

Communications on Stochastic Analysis

Additional Information:

17 pages, as preprint

Uncontrolled Keywords:

/dk/atira/pure/researchoutput/libraryofcongress/qa

Subjects:

?? noncommutative probabilityquantum stochastic cocyclee_0-semigroupccr flowholomorphic semigroup.qa mathematics ??

Departments:

Faculty of Science and Technology > Mathematics and Statistics

ID Code:

34521

Deposited By:

Professor J. Martin Lindsay

Deposited On:

22 Nov 2010 09:22

Refereed?:

Yes

Published?:

Published

Last Modified:

08 Nov 2024 01:11

URI:

https://eprints.lancs.ac.uk/id/eprint/34521