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arXiv · 1603.08758

Mixtures of classical and free independence

Roland Speicher·Janusz Wysoczanski
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Abstract

We revive the concept of Lambda-freeness of Mlotkowski, which describes a mixture of classical and free independence between algebras of random variables. In particular, we give a description of this in terms of cumulants; this will be instrumental in the subsequent paper [SW] where the quantum symmetries underlying these mixtures of classical and free independences will be considered.

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Roland Speicher, Janusz Wysoczanski. 2016-03-29. Mixtures of classical and free independence. https://arxiv.org/abs/1603.08758

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