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Partially hyperbolic dynamics in dimension three

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Autor(es):
Carrasco, Pablo D. ; Rodriguez-Hertz, Federico ; Rodriguez-Hertz, Jana ; Ures, Raul
Número total de Autores: 4
Tipo de documento: Artigo Científico
Fonte: Ergodic Theory and Dynamical Systems; v. 38, p. 37-pg., 2018-12-01.
Resumo

Partial hyperbolicity appeared in the 1960s as a natural generalization of hyperbolicity. In the last 20 years, there has been great activity in this area. Here we survey the state of the art in some related topics, focusing especially on partial hyperbolicity in dimension three. The reason for this is not only that it is the smallest dimension in which non-degenerate partial hyperbolicity can occur, but also that the topology of 3-manifolds influences the dynamics in revealing ways. (AU)

Processo FAPESP: 13/16226-8 - Projeto de pesquisa: rigidez e folheações em sistemas dinâmicos
Beneficiário:Pablo Daniel Carrasco Correa
Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado