Julia sets are uniformly perfect

dc.contributor.author	Mane, Ricardo	pt_BR
dc.contributor.author	Rocha, Luiz Fernando Carvalho da	pt_BR
dc.date.accessioned	2011-01-26T05:59:12Z	pt_BR
dc.date.issued	1992	pt_BR
dc.identifier.issn	0002-9939	pt_BR
dc.identifier.uri	http://hdl.handle.net/10183/27484	pt_BR
dc.description.abstract	We prove that Julia sets are uniformly perfect in the sense of Pommerenke (Arch. Math. 32 (1979), 192-199). This implies that their linear density of logarithmic capacity is strictly positive, thus implying that Julia sets are regular in the sense of Dirichlet. Using this we obtain a formula for the entropy of invariant harmonic measures on Julia sets. As a corollary we give a very short proof of Lopes converse to Brolin's theorem.	en
dc.format.mimetype	application/pdf	pt_BR
dc.language.iso	eng	pt_BR
dc.relation.ispartof	Proceedings of the American Mathematical Society. Providence, RI. Vol. 116, no. 1 (sept. 1992), p. 251-257.	pt_BR
dc.rights	Open Access	en
dc.subject	Teoria ergódica	pt_BR
dc.subject	Entropia : Medidas harmonicas	pt_BR
dc.subject	Conjuntos de julia	pt_BR
dc.title	Julia sets are uniformly perfect	pt_BR
dc.type	Artigo de periódico	pt_BR
dc.identifier.nrb	000054805	pt_BR
dc.type.origin	Estrangeiro	pt_BR

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