97 citations · 519 across the 71 of their papers we have counts for
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math.OA2007★ 12 cited
Poisson transform for higher-rank graph algebras and its applications
Adam Skalski, Joachim Zacharias
Higher-rank graph generalisations of the Popescu-Poisson transform are constructed, allowing us to develop a dilation theory for higher rank operator tuples. These dilations are jo…
math.FA2007
Approximation of quantum Levy processes by quantum random walks
Uwe Franz, Adam Skalski
Every quantum Levy process with a bounded stochastic generator is shown to arise as a strong limit of a family of suitably scaled quantum random walks.
math.OA2007
Wold decomposition for representations of product systems of C*-correspondences
Adam Skalski, Joachim Zacharias
Higher-rank versions of Wold decomposition are shown to hold for doubly commuting isometric representations of product systems of C*-correspondences over N^k, generalising the clas…