5 citations · 17 across the 12 of their papers we have counts for
14 papers
Hunt's Formula for and
Uwe Franz, Anna Kula, J. Martin Lindsay +1
We provide a Hunt type formula for the infinitesimal generators of Lévy process on the quantum groups and . In particular, we obtain a decomposition of such gener…
Strong convergence of quantum random walks via semigroup decomposition
Alexander C. R. Belton, Michal Gnacik, J. Martin Lindsay
We give a simple and direct treatment of the strong convergence of quantum random walks to quantum stochastic operator cocycles, via the semigroup decomposition of such cocycles. O…
Additive units of product systems
B. V. Rajarama Bhat, J. Martin Lindsay, Mithun Mukherjee
We introduce the notion of additive units, or `addits', of a pointed Arveson system, and demonstrate their usefulness through several applications. By a pointed Arveson system we m…
Quasifree stochastic cocycles and quantum random walks
Alexander C. R. Belton, Michal Gnacik, J. Martin Lindsay +1
The theory of quasifree quantum stochastic calculus for infinite-dimensional noise is developed within the framework of Hudson-Parthasarathy quantum stochastic calculus. The questi…
Additive units of product system
B. V. Rajarama Bhat, Martin Lindsay, Mithun Mukherjee
We introduce the notion of additive units and roots of a unit in a spatial product system. The set of all roots of any unit forms a Hilbert space and its dimension is the same as t…
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…