Multilinear function series in conditionally free probability with amalgamation | Zendy

Mihai Popa | Zendy

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Multilinear function series in conditionally free probability with amalgamation

Author(s) -

Mihai Popa

Publication year - 2008

Publication title -

communications on stochastic analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.224

H-Index - 10

eISSN - 2688-6669

pISSN - 0973-9599

DOI - 10.31390/cosa.2.2.09

Subject(s) - multilinear map , series (stratigraphy) , mathematics , function (biology) , computer science , pure mathematics , geology , paleontology , biology , evolutionary biology

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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