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arXiv · 0704.0040

Multilinear function series in conditionally free probability with amalgamation

Mihai Popa
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Abstract

As in the cases of freeness and monotonic independence, the notion of conditional freeness is meaningful when complex-valued states are replaced by positive conditional expectations. In this framework, the paper presents several positivity results, a version of the central limit theorem and an analogue of the conditionally free R-transform constructed by means of multilinear function series.

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Mihai Popa. 2008-09-05. Multilinear function series in conditionally free probability with amalgamation. https://arxiv.org/abs/0704.0040

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