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:
ID Code:
34521
Deposited On:
22 Nov 2010 09:22
Refereed?:
Yes
Published?:
Published
Last Modified:
24 Sep 2020 00:42