Asymptotics of several-partition Hurwitz numbers
International audience 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 asymptotic...
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ftccsdartic:oai:HAL:hal-00838952v2 2023-05-15T16:48:56+02:00 Asymptotics of several-partition Hurwitz numbers Sage, Marc Laboratoire d'Informatique Gaspard-Monge (LIGM) Centre National de la Recherche Scientifique (CNRS)-Fédération de Recherche Bézout-ESIEE Paris-École des Ponts ParisTech (ENPC)-Université Paris-Est Marne-la-Vallée (UPEM) Bousquet-Mélou Mireille and Wachs Michelle and Hultman Axel Reykjavik, Iceland 2011 https://hal.inria.fr/hal-00838952 https://hal.inria.fr/hal-00838952v2/document https://hal.inria.fr/hal-00838952v2/file/dmAO0174.pdf en eng HAL CCSD Discrete Mathematics and Theoretical Computer Science DMTCS hal-00838952 https://hal.inria.fr/hal-00838952 https://hal.inria.fr/hal-00838952v2/document https://hal.inria.fr/hal-00838952v2/file/dmAO0174.pdf info:eu-repo/semantics/OpenAccess ISSN: 1462-7264 EISSN: 1365-8050 Discrete Mathematics and Theoretical Computer Science Discrete Mathematics and Theoretical Computer Science (DMTCS) 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011) https://hal.inria.fr/hal-00838952 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011), 2011, Reykjavik, Iceland. pp.849-860 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] info:eu-repo/semantics/conferenceObject Conference papers 2011 ftccsdartic 2021-10-24T11:25:10Z International audience 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. Dans cet article, nous donnons l'asymptotique générale des nombres de Hurwitz à plusieurs partitions, s'appuyant sur un théorème de Kazarian pour le cas d'une partition et s'inspirant d'une récurrence menée par Zvonkine. En substance, l'asymptotique pour plusieurs partitions est la même que celle à une partition obtenue en concaténant les partitions. Conference Object Iceland Archive ouverte HAL (Hyper Article en Ligne, CCSD - Centre pour la Communication Scientifique Directe) |
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Archive ouverte HAL (Hyper Article en Ligne, CCSD - Centre pour la Communication Scientifique Directe) |
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language |
English |
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] |
spellingShingle |
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] Sage, Marc Asymptotics of several-partition Hurwitz numbers |
topic_facet |
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] |
description |
International audience 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. Dans cet article, nous donnons l'asymptotique générale des nombres de Hurwitz à plusieurs partitions, s'appuyant sur un théorème de Kazarian pour le cas d'une partition et s'inspirant d'une récurrence menée par Zvonkine. En substance, l'asymptotique pour plusieurs partitions est la même que celle à une partition obtenue en concaténant les partitions. |
author2 |
Laboratoire d'Informatique Gaspard-Monge (LIGM) Centre National de la Recherche Scientifique (CNRS)-Fédération de Recherche Bézout-ESIEE Paris-École des Ponts ParisTech (ENPC)-Université Paris-Est Marne-la-Vallée (UPEM) Bousquet-Mélou Mireille and Wachs Michelle and Hultman Axel |
format |
Conference Object |
author |
Sage, Marc |
author_facet |
Sage, Marc |
author_sort |
Sage, Marc |
title |
Asymptotics of several-partition Hurwitz numbers |
title_short |
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_sort |
asymptotics of several-partition hurwitz numbers |
publisher |
HAL CCSD |
publishDate |
2011 |
url |
https://hal.inria.fr/hal-00838952 https://hal.inria.fr/hal-00838952v2/document https://hal.inria.fr/hal-00838952v2/file/dmAO0174.pdf |
op_coverage |
Reykjavik, Iceland |
genre |
Iceland |
genre_facet |
Iceland |
op_source |
ISSN: 1462-7264 EISSN: 1365-8050 Discrete Mathematics and Theoretical Computer Science Discrete Mathematics and Theoretical Computer Science (DMTCS) 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011) https://hal.inria.fr/hal-00838952 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011), 2011, Reykjavik, Iceland. pp.849-860 |
op_relation |
hal-00838952 https://hal.inria.fr/hal-00838952 https://hal.inria.fr/hal-00838952v2/document https://hal.inria.fr/hal-00838952v2/file/dmAO0174.pdf |
op_rights |
info:eu-repo/semantics/OpenAccess |
_version_ |
1766039008357384192 |