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On the structure of non-commutative white noises

Claus Köstler·Roland Speicher
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Abstract

We consider the concepts of continuous Bernoulli systems and non-commutative white noises. We address the question of isomorphism of continuous Bernoulli systems and show that for large classes of quantum L{é}vy processes one can make quite precise statements about the time behaviour of their moments.

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Claus Köstler, Roland Speicher. 2004-11-23. On the structure of non-commutative white noises. https://arxiv.org/abs/math/0411519

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