On computing the entropy of braids |
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Authors: | Jacques-Olivier Moussafir |
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Affiliation: | (1) Saint-Gobain Recherche, 39 quai Lucien Lefranc, 93300 Aubervillers, France |
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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. |
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Keywords: | Braid Topological entropy Pseudo-Anosov map Lamination Train tracks |
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