58 citations · 210 across the 15 of their papers we have counts for
4 papers · 2 filters
Box dimension of stable sub-slices of fractal graphs over Anosov automorphisms
Bernardo Carvalho, Rafael da Costa Pereira
We consider fractal graphs invariant by a skew product of the form where ,…
Stable/unstable holonomies, density of periodic points, and transitivity for continuum-wise hyperbolic homeomorphisms
Bernardo Carvalho, Elias Rego
We discuss different regularities on stable/unstable holonomies of cw-hyperbolic homeomorphisms and prove that if a cw-hyperbolic homeomorphism has continuous joint stable/unstable…
Continuum-wise hyperbolic homeomorphisms on surfaces
Rodrigo Arruda, Bernardo Carvalho, Alberto Sarmiento
This paper discusses the dynamics of continuum-wise hyperbolic surface homeomorphisms. We prove that -hyperbolic surface homeomorphisms containing only a finite set of spines…
First-time sensitive homeomorphisms
Mayara Antunes, Bernardo Carvalho
We introduce first-time sensitivity for a homeomorphism of a compact metric space, that is a condition on the first increasing times of open balls of the space. Continuum-wise expa…