Periodic points and smooth rays

Carsten Lunde Petersen; Saeed Zakeri

doi:10.1090/ECGD/364

Periodic points and smooth rays

Carsten Lunde Petersen^*, Saeed Zakeri

^*Corresponding author

Institut for Naturvidenskab og Miljø

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

Abstract

Let P: (Formula presented) be a polynomial map with disconnected filled Julia set KP and let z0 be a repelling or parabolic periodic point of P.Weshow that if the connected component of KP containing z0 is non-degenerate, then z0 is the landing point of at least one smooth external ray. The statement is optimal in the sense that all but one cycle of rays landing at z0 may be broken.

Originalsprog	Engelsk
Tidsskrift	Conformal Geometry and Dynamics
Vol/bind	25
Udgave nummer	8
Sider (fra-til)	170-178
Antal sider	9
DOI	https://doi.org/10.1090/ECGD/364
Status	Udgivet - 2021

Bibliografisk note

This article has beeen found as a 'Free version' at the Publisher on November 30, 2021. When access closes, please contact [email protected]

Link til dokument

10.1090/ECGD/364

Periodic points and smooth raysAccepteret manuskript, 851 KBLicens: CC BY-NC-ND

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