Asymptotics of several-partition Hurwitz numbers
We derive in this paper the asymptotics of several-partition Hurwitz numbers, relying on a theorem of Kazarian for the one-partition case and on an induction carried on by Zvonkine. Essentially, the asymptotics for several partitions is the same as the one-partition asymptotics obtained by concatena...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Discrete Mathematics & Theoretical Computer Science
2011-01-01
|
| Series: | Discrete Mathematics & Theoretical Computer Science |
| Subjects: | |
| Online Access: | https://dmtcs.episciences.org/2958/pdf |
| _version_ | 1827324026765180928 |
|---|---|
| author | Marc Sage |
| author_facet | Marc Sage |
| author_sort | Marc Sage |
| collection | DOAJ |
| description | We derive in this paper the asymptotics of several-partition Hurwitz numbers, relying on a theorem of Kazarian for the one-partition case and on an induction carried on by Zvonkine. Essentially, the asymptotics for several partitions is the same as the one-partition asymptotics obtained by concatenating the partitions. |
| first_indexed | 2024-04-25T02:03:19Z |
| format | Article |
| id | doaj.art-c9fbc3557942425e8b4613cfb009c610 |
| institution | Directory Open Access Journal |
| issn | 1365-8050 |
| language | English |
| last_indexed | 2024-04-25T02:03:19Z |
| publishDate | 2011-01-01 |
| publisher | Discrete Mathematics & Theoretical Computer Science |
| record_format | Article |
| series | Discrete Mathematics & Theoretical Computer Science |
| spelling | doaj.art-c9fbc3557942425e8b4613cfb009c6102024-03-07T14:49:33ZengDiscrete Mathematics & Theoretical Computer ScienceDiscrete Mathematics & Theoretical Computer Science1365-80502011-01-01DMTCS Proceedings vol. AO,...Proceedings10.46298/dmtcs.29582958Asymptotics of several-partition Hurwitz numbersMarc Sage0Laboratoire d'Informatique Gaspard-MongeWe derive in this paper the asymptotics of several-partition Hurwitz numbers, relying on a theorem of Kazarian for the one-partition case and on an induction carried on by Zvonkine. Essentially, the asymptotics for several partitions is the same as the one-partition asymptotics obtained by concatenating the partitions.https://dmtcs.episciences.org/2958/pdfhurwitz numbersasymptoticsmany partitionstransitive factorisations[math.math-co] mathematics [math]/combinatorics [math.co][info.info-dm] computer science [cs]/discrete mathematics [cs.dm] |
| spellingShingle | Marc Sage Asymptotics of several-partition Hurwitz numbers Discrete Mathematics & Theoretical Computer Science hurwitz numbers asymptotics many partitions transitive factorisations [math.math-co] mathematics [math]/combinatorics [math.co] [info.info-dm] computer science [cs]/discrete mathematics [cs.dm] |
| title | Asymptotics of several-partition Hurwitz numbers |
| title_full | Asymptotics of several-partition Hurwitz numbers |
| title_fullStr | Asymptotics of several-partition Hurwitz numbers |
| title_full_unstemmed | Asymptotics of several-partition Hurwitz numbers |
| title_short | Asymptotics of several-partition Hurwitz numbers |
| title_sort | asymptotics of several partition hurwitz numbers |
| topic | hurwitz numbers asymptotics many partitions transitive factorisations [math.math-co] mathematics [math]/combinatorics [math.co] [info.info-dm] computer science [cs]/discrete mathematics [cs.dm] |
| url | https://dmtcs.episciences.org/2958/pdf |
| work_keys_str_mv | AT marcsage asymptoticsofseveralpartitionhurwitznumbers |