B. Carvalho

activity

20132026

most citedN-expansive homeomorphisms with the shadowing property

58 citations · 210 across the 15 of their papers we have counts for

collaborators

Showing 2026 · math.DSShow all

2 papers · 2 filters

math.DS2026

Continuum-wise hyperbolicity is exactly the pseudo-Anosov dynamics with spine singularities

Rodrigo Arruda, Bernardo Carvalho, Piotr Oprocha +1

We establish a complete structural classification for cw $_{F}$ -hyperbolic surface homeomorphisms. Specifically, we prove that a surface homeomorphism is cw $_{F}$ -hyperbolic if, and onl…

math.DS2026

$C^{1}$ -generic continuum-wise expansive surface diffeomorphisms

Alfonso Artigue, Bernardo Carvalho, José Cueto

We exhibit a local residual set of surface $C^{1}$ diffeomorphisms that are continuum-wise expansive but are not expansive. We also exhibit an open and dense set of surface $C^{1}$ dif…

Continuum-wise hyperbolicity is exactly the pseudo-Anosov dynamics with spine singularities

C1-generic continuum-wise expansive surface diffeomorphisms

$C^{1}$ -generic continuum-wise expansive surface diffeomorphisms