24 citations · 66 across the 8 of their papers we have counts for
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math.DS2015
Kupka-Smale diffeomorphisms at the boundary of uniform hyperbolicity: a model
Renaud Leplaideur, Isabel Rios
We construct an explicit example of family of non-uniformly hyperbolic diffeomorphisms, at the boundary of the set of uniformly hyperbolic systems, with one orbit of cubic heterocl…
math.DS2015★ 18 cited
On Equilibrium States for Partially Hyperbolic Horseshoes
Isabel Rios, Jaqueline Siqueira
We prove existence and uniqueness of equilibrium states for a family of partially hyperbolic systems, with respect to Holder continuous potentials with small variation. The family…