5 citations · 17 across the 12 of their papers we have counts for
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Quasifree martingales
J. Martin Lindsay, Oliver T. Margetts
A noncommutative Kunita-Watanabe-type representation theorem is established for the martingales of quasifree states of CCR algebras. To this end the basic theory of quasifree stoch…
A vacuum-adapted approach to quantum Feynman-Kac formulae
Alexander C. R. Belton, J. Martin Lindsay, Adam G. Skalski
The vacuum-adapted formulation of quantum stochastic calculus is employed to perturb expectation semigroups via a Feynman-Kac formula. This gives an alternative perspective on the…
Quantum Feynman-Kac perturbations
Alexander C. R. Belton, J. Martin Lindsay, Adam G. Skalski
We develop fully noncommutative Feynman-Kac formulae by employing quantum stochastic processes. To this end we establish some theory for perturbing quantum stochastic flows on von…