5 citations · 17 across the 12 of their papers we have counts for
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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…
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 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…
Quantum random walk approximation on locally compact quantum groups
J. Martin Lindsay, Adam G. Skalski
A natural scheme is established for the approximation of quantum Levy processes on locally compact quantum groups by quantum random walks. We work in the somewhat broader context o…
Convolution semigroups of states
J. Martin Lindsay, Adam Skalski
Convolution semigroups of states on a quantum group form the natural noncommutative analogue of convolution semigroups of probability measures on a locally compact group. Here we i…