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Showing 1 to 3 of 3 for “"noncommutative probability"”.
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Algebraic central limit theorems in noncommutative probability
… symmetries and invariance principles in noncommutative probability theory provide sufficient conditions for the existence of central limit laws. In contrast to classical probability theory, there exist many different central limit laws for exchangeable sequences of noncommutative random …
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The Law of the Iterated Logarithm in Noncommutative Probability
For free random variables, we obtain even stronger version of the Law of the Iterated Logarithm: limsupn→infinity 1n i=1nxi≤ bau2s .
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Gaussian-like von Neumann algebras and noncommutative brownian motion
… by Bo\.{z}ejko and Speicher in connection with noncommutative brownian motion. The main results of the present work is to establish that the $q$-Gaussian von Neumann algebras have the weak* completely contractive approximation property for all $-1 < q < 1$ and any number of generators, and they …