Araújo, Hugo FonsecaMoreira, Carlos Gustavo2022-09-152022-09-152021ARAÚJO, H.; MOREIRA, C. G. Stable intersections of conformal cantor sets. Ergodic Theory and Dynamical Systems, 2021. Disponível em: <https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/abs/stable-intersections-of-conformal-cantor-sets/2E06382177A6A08D776BBC27FB2B0445#>. Acesso em: 29 abr. 2022.1469-4417http://www.repositorio.ufop.br/jspui/handle/123456789/15300We 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.en-USrestritoArtigo publicado em periodicohttps://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/abs/stable-intersections-of-conformal-cantor-sets/2E06382177A6A08D776BBC27FB2B0445#https://doi.org/10.1017/etds.2021.97