An improvement of j. Rivera-letelier result on weak hyperbolicity on periodic orbits for polynomials

dc.creator	Przytycki, Feliks
dc.date	2017-04-20
dc.identifier	http://www.revistaproyecciones.cl/article/view/1461
dc.identifier	10.4067/S0716-09172005000300006
dc.description	We prove that for f : ¯CI → ¯CI a rational mapping of the Riemann sphere of degree at least 2 and Ω a simply connected immediate basin of attraction to an attracting fixed point, if \|(f n)0 (p)\| ≥ Cn3+ξ for constants ξ > 0,C > 0 all positive integers n and all repelling periodic points p of period n in Julia set for f, then a Riemann mapping R : ID → Ω extends continuously to ¯ID and FrΩ is locally connected. This improves a result proved by J. Rivera-Letelier for Ω the basin of infinity for polynomials, and 5 + ξ rather than 3 + ξ.	es-ES
dc.format	application/pdf
dc.language	spa
dc.publisher	Universidad Católica del Norte.	es-ES
dc.relation	http://www.revistaproyecciones.cl/article/view/1461/1242
dc.rights	Derechos de autor 2005 Proyecciones. Journal of Mathematics	es-ES
dc.source	Proyecciones. Journal of Mathematics; Vol 24 No 3 (2005); 277-286	en-US
dc.source	Proyecciones. Revista de Matemática; Vol. 24 Núm. 3 (2005); 277-286	es-ES
dc.source	0717-6279
dc.source	0716-0917
dc.title	An improvement of j. Rivera-letelier result on weak hyperbolicity on periodic orbits for polynomials	es-ES
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion
dc.type	Artículo revisado por pares	es-ES