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Herman’s Condition and Siegel Disks of Bi-Critical Polynomials

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorCHÉRITAT, Arnaud
hal.structure.identifierInstitut de Mathématiques de Marseille [I2M]
hal.structure.identifierInstitut de Mathématiques de Toulouse UMR5219 [IMT]
dc.contributor.authorROESCH, Pascale
dc.date.accessioned2024-04-04T02:45:15Z
dc.date.available2024-04-04T02:45:15Z
dc.date.issued2016
dc.identifier.issn0010-3616
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191451
dc.description.abstractEnWe 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.sponsorshipEspaces de paramètres en dynamique holomorphe. - ANR-13-BS01-0002
dc.language.isoen
dc.publisherSpringer Verlag
dc.subject.enDiophantine condition
dc.subject.endynamical system
dc.subject.enHerman’s condition
dc.subject.enSiegel disk
dc.subject.enrotation number
dc.title.enHerman’s Condition and Siegel Disks of Bi-Critical Polynomials
dc.typeArticle de revue
dc.identifier.doi10.1007/s00220-016-2614-y
dc.subject.halMathématiques [math]/Systèmes dynamiques [math.DS]
dc.identifier.arxiv1111.4629
bordeaux.journalCommunications in Mathematical Physics
bordeaux.page1-30
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01312962
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01312962v1
bordeaux.COinSctx_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


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