Rational maps with integer multipliers
| hal.structure.identifier | Institut de Mathématiques de Toulouse UMR5219 [IMT] | |
| dc.contributor.author | BUFF, Xavier | |
| hal.structure.identifier | Laboratoire de Mathématiques d'Orsay [LMO] | |
| dc.contributor.author | GAUTHIER, Thomas | |
| dc.contributor.author | HUGUIN, Valentin | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | RAISSY, Jasmin | |
| dc.date.accessioned | 2024-04-04T02:37:22Z | |
| dc.date.available | 2024-04-04T02:37:22Z | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190794 | |
| dc.description.abstractEn | Let $O_K$ be the ring of integers of an imaginary quadratic field. Recently, Zhuchao Ji and Junyi Xie proved that rational maps whose multipliers at all periodic points belong to $O_K$ are power maps, Chebyshev maps or Lattès maps. Their proof relies on a non-archimedean result by Benedetto, Ingram, Jones and Levy. In this note, we show that one may avoid using this non-archimedean result by considering a differential equation instead. | |
| dc.language.iso | en | |
| dc.title.en | Rational maps with integer multipliers | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math] | |
| dc.identifier.arxiv | 2212.03661 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-03888827 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03888827v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=BUFF,%20Xavier&GAUTHIER,%20Thomas&HUGUIN,%20Valentin&RAISSY,%20Jasmin&rft.genre=preprint |
Fichier(s) constituant ce document
| Fichiers | Taille | Format | Vue |
|---|---|---|---|
|
Il n'y a pas de fichiers associés à ce document. |
|||