Monotone Cumulant-Moment Formula and Schröder Trees
We 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.
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2022 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2022
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/211715 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Monotone Cumulant-Moment Formula and Schröder Trees. Octavio Arizmendi and Adrian Celestino. SIGMA 18 (2022), 073, 22 pages |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862717639215808512 |
|---|---|
| author | Arizmendi, Octavio Celestino, Adrian |
| author_facet | Arizmendi, Octavio Celestino, Adrian |
| citation_txt | Monotone Cumulant-Moment Formula and Schröder Trees. Octavio Arizmendi and Adrian Celestino. SIGMA 18 (2022), 073, 22 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We 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.
|
| first_indexed | 2026-03-20T17:41:31Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211715 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-20T17:41:31Z |
| publishDate | 2022 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Arizmendi, Octavio Celestino, Adrian 2026-01-09T12:41:12Z 2022 Monotone Cumulant-Moment Formula and Schröder Trees. Octavio Arizmendi and Adrian Celestino. SIGMA 18 (2022), 073, 22 pages 1815-0659 2020 Mathematics Subject Classification: 05E99; 16T05; 17A30; 46L53 arXiv:2111.02179 https://nasplib.isofts.kiev.ua/handle/123456789/211715 https://doi.org/10.3842/SIGMA.2022.073 We 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. The 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Monotone Cumulant-Moment Formula and Schröder Trees Article published earlier |
| spellingShingle | Monotone Cumulant-Moment Formula and Schröder Trees Arizmendi, Octavio Celestino, Adrian |
| title | Monotone Cumulant-Moment Formula and Schröder Trees |
| title_full | Monotone Cumulant-Moment Formula and Schröder Trees |
| title_fullStr | Monotone Cumulant-Moment Formula and Schröder Trees |
| title_full_unstemmed | Monotone Cumulant-Moment Formula and Schröder Trees |
| title_short | Monotone Cumulant-Moment Formula and Schröder Trees |
| title_sort | monotone cumulant-moment formula and schröder trees |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211715 |
| work_keys_str_mv | AT arizmendioctavio monotonecumulantmomentformulaandschrodertrees AT celestinoadrian monotonecumulantmomentformulaandschrodertrees |