30 citations · 66 across the 13 of their papers we have counts for
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math.DS2002★ 2 cited
Monotone quotients of surface diffeomorphisms
André de Carvalho, Miguel Paternain
A homeomorphism of a compact metric space is {\em tight} provided every non-degenerate compact connected (not necessarily invariant) subset carries positive entropy. It is shown th…
math.DS2002
Extensions, quotients and generalized pseudo-Anosov maps
Andre de Carvalho
We describe a circle of ideas relating the dynamics of 2-dimensional homeomorphisms to that of 1-dimensional endomorphisms. This is used to introduce a new class of maps generalizi…
math.DS2002
Braid forcing and star-shaped train tracks
Andre de Carvalho, Toby Hall
Global results are proved about the way in which Boyland's forcing partial order organizes a set of braid types: those of periodic orbits of Smale's horseshoe map for which the ass…