On the Generators of Quantum Stochastic Operator Cocycles
S.J. Wills
2007, v.13, Issue 1, 191-211
ABSTRACT
The stochastic generators of Markov-regular operator cocycles on symmetric Fock space are studied in a variety of cases: positive cocycles, projection cocycles, and partially isometric cocycles. Moreover a class of transformations of positive contraction cocycles is exhibited which leads to a polar decomposition result.
Keywords: stochastic cocycle,quantum probability,stochasticdifferential equation,Markov semigroup
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