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math.DS2012
Symbolic Extensions and dominated splittings for Generic C^1-Diffeomorphisms
A. Arbieto, A. Armijo, T. Catalan +1
Let Diff^1(M) be the set of all C^1-diffeomorphisms f : M \rightarrow M, where M is a compact boundaryless d-dimensional manifold, d \geq 2. We prove that there is a residual subse…
math.DS2011
The Specification Property for Flows from the Robust and Generic Viewpoint
Alexander Arbieto, Laura Senos, Tatiana Sodero
We prove that if has the weak specification property robustly, where is an isolated set, then is a hyperbolic topologically mixing set and, as a consequence, if …