How to differentiate a quantum stochastic cocycle
Functional Analysis
2010-11-23 v1 Mathematical Physics
math.MP
Probability
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.
Cite
@article{arxiv.1011.4636,
title = {How to differentiate a quantum stochastic cocycle},
author = {J. Martin Lindsay},
journal= {arXiv preprint arXiv:1011.4636},
year = {2010}
}
Comments
17 pages. To appear in Communications on Stochastic Analysis, Volume 4 (2010), no. 4 (Special issue, dedicated to Professor Robin Hudson, on his 70th birthday)