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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…