Herman’s Condition and Siegel Disks of Bi-Critical Polynomials
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | CHÉRITAT, Arnaud | |
| hal.structure.identifier | Institut de Mathématiques de Marseille [I2M] | |
| hal.structure.identifier | Institut de Mathématiques de Toulouse UMR5219 [IMT] | |
| dc.contributor.author | ROESCH, Pascale | |
| dc.date.accessioned | 2024-04-04T02:45:15Z | |
| dc.date.available | 2024-04-04T02:45:15Z | |
| dc.date.issued | 2016 | |
| dc.identifier.issn | 0010-3616 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191451 | |
| dc.description.abstractEn | We extend a theorem of Herman from the case of unicritical polynomials to the case of polynomials with two finite critical values. This theorem states that Siegel disks of such polynomials, under a diophantine condition (called Herman's condition) on the rotation number, must have a critical point on their boundaries. | |
| dc.description.sponsorship | Espaces de paramètres en dynamique holomorphe. - ANR-13-BS01-0002 | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.subject.en | Diophantine condition | |
| dc.subject.en | dynamical system | |
| dc.subject.en | Herman’s condition | |
| dc.subject.en | Siegel disk | |
| dc.subject.en | rotation number | |
| dc.title.en | Herman’s Condition and Siegel Disks of Bi-Critical Polynomials | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s00220-016-2614-y | |
| dc.subject.hal | Mathématiques [math]/Systèmes dynamiques [math.DS] | |
| dc.identifier.arxiv | 1111.4629 | |
| bordeaux.journal | Communications in Mathematical Physics | |
| bordeaux.page | 1-30 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01312962 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01312962v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Communications%20in%20Mathematical%20Physics&rft.date=2016&rft.spage=1-30&rft.epage=1-30&rft.eissn=0010-3616&rft.issn=0010-3616&rft.au=CH%C3%89RITAT,%20Arnaud&ROESCH,%20Pascale&rft.genre=article |
Fichier(s) constituant ce document
| Fichiers | Taille | Format | Vue |
|---|---|---|---|
|
Il n'y a pas de fichiers associés à ce document. |
|||