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https://locus.ufv.br//handle/123456789/21893
Tipo: | Artigo |
Título: | On weakly hyperbolic iterated function systems |
Autor(es): | Correa, André Junqueira da Silva Arbieto, Alexander Santiago, Bruno |
Abstract: | We study weakly hyperbolic iterated function systems on compact metric spaces, as defined by Edalat (Inform Comput 124(2):182–197, 1996), but in the more general setting of compact parameter space. We prove the existence of attractors, both in the topological and measure theoretical viewpoint and the ergodicity of invariant measure. We also define weakly hyperbolic iterated function systems for complete metric spaces and compact parameter space, extending the above mentioned definition. Furthermore, we study the question of existence of attractors in this setting. Finally, we prove a version of the results by Barnsley and Vince (Ergodic Theory Dyn Syst 31(4):1073–1079, 2011), about drawing the attractor (the so-called the chaos game), for compact parameter space. |
Palavras-chave: | Iterated function systems Attractors Chaos game |
Editor: | Bulletin of the Brazilian Mathematical Society, New Series |
Tipo de Acesso: | Elsevier B.V. |
URI: | https://doi.org/10.1007/s00574-016-0018-4 http://www.locus.ufv.br/handle/123456789/21893 |
Data do documento: | Mar-2017 |
Aparece nas coleções: | Artigos |
Arquivos associados a este item:
Arquivo | Descrição | Tamanho | Formato | |
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artigo.pdf Until 2100-12-31 | Texto completo | 624,85 kB | Adobe PDF | Visualizar/Abrir ACESSO RESTRITO |
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