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How to differentiate a quantum stochastic cocycle.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

<mark>Journal publication date</mark>12/2010
<mark>Journal</mark>Communications on Stochastic Analysis
Issue number4
Number of pages20
Pages (from-to)641-660
Publication StatusPublished
<mark>Original language</mark>English


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.

Bibliographic note

17 pages, as preprint