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On computing the entropy of braids

2006/03/14 by Jacques-Olivier Moussafir, Moussafir, Jacques-Olivier · 1 citation
Mathematics · #37B40 #37E30 #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #advanced mathematical theories #math.DS #msc:37B40 #msc:37E30

paper · pdf · doi:10.48550/arxiv.math/0603355

12 pages

openalex publication_date 2006/03/14 · arxiv created 2006/06/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider in this paper the problem of computing the entropy of a braid. We recall its definition and construct, for each braid, a sequence of real numbers, whose limit is its entropy. We state one conjecture about the convergence speed, and two about the braids that have high entropy, but are written with few letters.

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