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On the structure of non-commutative white noises

Claus Köstler, Roland Speicher

math.OAarXiv:math/0411519

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 Lévy processes one can make quite precise statements about the time behaviour of their moments.

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