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math.QA2007
Noncommutative Brownian motions with Kesten distributions and related Poisson processes
Romuald Lenczewski, Rafal Salapata
We introduce and study a noncommutative two-parameter family of noncommutative Brownian motions in the free Fock space. They are associated with Kesten laws and give a continuous i…
math.QA2005
Discrete interpolation between monotone probability and free probability
Romuald Lenczewski, Rafal Salapata
We construct a sequence of states called m-monotone product states which give a discrete interpolation between the monotone product of states of Muraki and the free product of stat…