Monotone Cumulant-Moment Formula and Schröder Trees

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dc.contributor.authorArizmendi, Octavio
dc.contributor.authorCelestino, Adrian
dc.date.accessioned2026-01-09T12:41:12Z
dc.date.issued2022
dc.description.abstractWe prove a formula to express multivariate monotone cumulants of random variables in terms of their moments by using a Hopf algebra of decorated Schröder trees.
dc.description.sponsorshipThe authors would like to thank Kurusch Ebrahimi-Fard for their valuable comments in the preparation of this manuscript. Octavio Arizmendi received financial support from CONACYT Grant CB-2017-2018-A1-S-9764 “Matrices Aleatorias y Probabilidad No Conmutativa” and from the SFB-TRR 195 “Symbolic Tools in Mathematics and their Application” of the German Research Foundation (DFG). Adrian Celestino was partially supported by the project Pure Mathematics in Norway, funded by the Trond Mohn Foundation and Tromsø Research Foundation. We thank the referees for the careful reading of the paper.
dc.identifier.citationMonotone Cumulant-Moment Formula and Schröder Trees. Octavio Arizmendi and Adrian Celestino. SIGMA 18 (2022), 073, 22 pages
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2022.073
dc.identifier.issn1815-0659
dc.identifier.other2020 Mathematics Subject Classification: 05E99; 16T05; 17A30; 46L53
dc.identifier.otherarXiv:2111.02179
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/211715
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleMonotone Cumulant-Moment Formula and Schröder Trees
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2022, том 18, випуск за цей рік