Topological structure of (partially) hyperbolic sets with positive volume

DOI10.1090/S0002-9947-08-04484-XzbMath1149.37018arXivmath/0603148OpenAlexW2051823049MaRDI QIDQ3533844

José F. Alves, Vilton Pinheiro

Publication date: 24 October 2008

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603148

zbMATH Keywords

horseshoehyperbolic setpartially hyperbolic set

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Dynamical systems with hyperbolic orbits and sets (37D05) Partially hyperbolic systems and dominated splittings (37D30)

Related Items (9)

Partially hyperbolic sets with a dynamically minimal lamination ⋮ Higher-dimensional attractors with absolutely continuous invariant probability ⋮ Statistical stability for diffeomorphisms with mostly expanding and mostly contracting centers ⋮ SRB measures for partially hyperbolic systems whose central direction is weakly expanding ⋮ Non hyperbolic solenoidal thick bony attractors ⋮ Gibbs-Markov structures and limit laws for partially hyperbolic attractors with mostly expanding central direction ⋮ Saturation of generalized partially hyperbolic attractors ⋮ Almost sure rates of mixing for partially hyperbolic attractors ⋮ Shy shadows of infinite-dimensional partially hyperbolic invariant sets

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