18 citations · 23 across the 3 of their papers we have counts for
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math.DS2009★ 18 cited
Symbolic extensions for partially hyperbolic diffeomorphisms
Lorenzo J. Diaz, Todd Fisher
We show that every partially hyperbolic diffeomorphism with a 1-dimensional center bundle has a principal symbolic extension. On the other hand, we show there are no symbolic exten…
math.DS2008★ 4 cited
Non-hyperbolic ergodic measures for non-hyperbolic homoclinic classes
Lorenzo J. Diaz, Anton Gorodetski
We prove that for a generic -diffeomorphism existence of a homoclinic class with periodic saddles of different indices (dimension of the unstable bundle) implies existence an…
math.DS2006★ 1 cited
A C^1 -Generic dichotomy for diffeomorphisms
C. Bonatti, L. J. Diaz, E. R. Pujals
We show that, for every compact n-dimensional manifold, n\geq 1, there is a residual subset of Diff^1(M) of diffeomorphisms for which the homoclinic class of any periodic saddle of…