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Preprint . 2016
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https://doi.org/10.21136/hs.20...
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Article . 2016
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An operadic approach to operator-valued free cumulants

english
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 08 Nov 2018Embargo end date: 01 Jan 2016Publisher:Institute of Mathematics, Czech Academy of SciencesJournal:Higher Structures, volume 2, pages 42-56
Authors: Drummond-Cole, Gabriel C.;

doi: 10.21136/hs.2018.03 , 10.48550/arxiv.1607.04933

arXiv: 1607.04933

An operadic approach to operator-valued free cumulants

Abstract

An operadic framework is developed to explain the inversion formula relating moments and cumulants in operator-valued free probability theory.

14 pages

Keywords

operads, Free probability and free operator algebras, free cumulants, Mathematics - Quantum Algebra, Probability (math.PR), FOS: Mathematics, Operads, operator-valued cumulants, Quantum Algebra (math.QA), Mathematics - Probability

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    popularity
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    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
Green