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On computing the entropy of braids
Authors:Jacques-Olivier Moussafir
Institution:(1) Saint-Gobain Recherche, 39 quai Lucien Lefranc, 93300 Aubervillers, France
Abstract:We consider the problem of computing the entropy of a braid. We recall its definition and for each braid construct a sequence of real numbers whose limit is the braid’s entropy. We state one conjecture on the convergence speed and two conjectures on braids that have high entropy but are written with few letters.
Keywords:Braid  Topological entropy  Pseudo-Anosov map  Lamination  Train tracks
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