27 citations · 27 across the 3 of their papers we have counts for
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math.DS2008
Decoration invariants for horseshoe braids
André de Carvalho, Toby Hall
The Decoration Conjecture describes the structure of the set of braid types of Smale's horseshoe map ordered by forcing, providing information about the order in which periodic orb…
math.DS2008
On the topological entropy of families of braids
Toby Hall, S. Öykü Yurttas
A method for computing the topological entropy of each braid in an infinite family, making use of Dynnikov's coordinates on the boundary of Teichmüller space, is described. The met…
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…