Hopf algebras and the logarithm of the S-transform in free probability ― Extended abstract
This document is an extended abstract of the paper `Hopf algebras and the logarithm of the S-transform in free probability' in which we introduce a Hopf algebraic approach to the study of the operation $\boxtimes$ (free multiplicative convolution) from free probability.
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| Format: | Article |
| Language: | English |
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Discrete Mathematics & Theoretical Computer Science
2009-01-01
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| Series: | Discrete Mathematics & Theoretical Computer Science |
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| Online Access: | https://dmtcs.episciences.org/2679/pdf |
| _version_ | 1797270359588732928 |
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| author | Mitja Mastnak Alexandru Nica |
| author_facet | Mitja Mastnak Alexandru Nica |
| author_sort | Mitja Mastnak |
| collection | DOAJ |
| description | This document is an extended abstract of the paper `Hopf algebras and the logarithm of the S-transform in free probability' in which we introduce a Hopf algebraic approach to the study of the operation $\boxtimes$ (free multiplicative convolution) from free probability. |
| first_indexed | 2024-04-25T02:03:01Z |
| format | Article |
| id | doaj.art-8124c13debe14e32b3e8bae622880094 |
| institution | Directory Open Access Journal |
| issn | 1365-8050 |
| language | English |
| last_indexed | 2024-04-25T02:03:01Z |
| publishDate | 2009-01-01 |
| publisher | Discrete Mathematics & Theoretical Computer Science |
| record_format | Article |
| series | Discrete Mathematics & Theoretical Computer Science |
| spelling | doaj.art-8124c13debe14e32b3e8bae6228800942024-03-07T14:45:41ZengDiscrete Mathematics & Theoretical Computer ScienceDiscrete Mathematics & Theoretical Computer Science1365-80502009-01-01DMTCS Proceedings vol. AK,...Proceedings10.46298/dmtcs.26792679Hopf algebras and the logarithm of the S-transform in free probability ― Extended abstractMitja Mastnak0Alexandru Nica1Department of Mathematics and Computing Science [Halifax]Department of Pure Mathematics [Waterloo]This document is an extended abstract of the paper `Hopf algebras and the logarithm of the S-transform in free probability' in which we introduce a Hopf algebraic approach to the study of the operation $\boxtimes$ (free multiplicative convolution) from free probability.https://dmtcs.episciences.org/2679/pdfnon-crossing partitionsymmetric functionhopf algebrafree probability[math.math-co] mathematics [math]/combinatorics [math.co][info.info-dm] computer science [cs]/discrete mathematics [cs.dm] |
| spellingShingle | Mitja Mastnak Alexandru Nica Hopf algebras and the logarithm of the S-transform in free probability ― Extended abstract Discrete Mathematics & Theoretical Computer Science non-crossing partition symmetric function hopf algebra free probability [math.math-co] mathematics [math]/combinatorics [math.co] [info.info-dm] computer science [cs]/discrete mathematics [cs.dm] |
| title | Hopf algebras and the logarithm of the S-transform in free probability ― Extended abstract |
| title_full | Hopf algebras and the logarithm of the S-transform in free probability ― Extended abstract |
| title_fullStr | Hopf algebras and the logarithm of the S-transform in free probability ― Extended abstract |
| title_full_unstemmed | Hopf algebras and the logarithm of the S-transform in free probability ― Extended abstract |
| title_short | Hopf algebras and the logarithm of the S-transform in free probability ― Extended abstract |
| title_sort | hopf algebras and the logarithm of the s transform in free probability extended abstract |
| topic | non-crossing partition symmetric function hopf algebra free probability [math.math-co] mathematics [math]/combinatorics [math.co] [info.info-dm] computer science [cs]/discrete mathematics [cs.dm] |
| url | https://dmtcs.episciences.org/2679/pdf |
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