Stable intersections of conformal cantor sets.

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MetadadosDescriçãoIdioma
Autor(es): dc.creatorAraújo, Hugo Fonseca-
Autor(es): dc.creatorMoreira, Carlos Gustavo-
Data de aceite: dc.date.accessioned2025-08-21T15:21:42Z-
Data de disponibilização: dc.date.available2025-08-21T15:21:42Z-
Data de envio: dc.date.issued2022-09-15-
Data de envio: dc.date.issued2022-09-15-
Data de envio: dc.date.issued2020-
Fonte completa do material: dc.identifierhttp://www.repositorio.ufop.br/jspui/handle/123456789/15300-
Fonte completa do material: dc.identifierhttps://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/abs/stable-intersections-of-conformal-cantor-sets/2E06382177A6A08D776BBC27FB2B0445#-
Fonte completa do material: dc.identifierhttps://doi.org/10.1017/etds.2021.97-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/1011828-
Descrição: dc.descriptionWe investigate stable intersections of conformal Cantor sets and their consequences to dynamical systems. First we define this type of Cantor set and relate it to horseshoes appearing in automor- phisms of C2 . Then we study limit geometries, objects related to the asymptotic shape of the Cantor sets, to obtain a criterion that guarantees stable intersection between some configurations. Finally we show that the Buzzard construction of a Newhouse region on Aut(C2 ) can be seem as a case of stable intersection of Cantor sets in our sense and give some (not optimal) estimative on how “thick” those sets have to be.-
Formato: dc.formatapplication/pdf-
Idioma: dc.languageen-
Direitos: dc.rightsrestrito-
Título: dc.titleStable intersections of conformal cantor sets.-
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