On the topological entropy of families of braids

2008/08/22 by Toby Hall, Hall, Toby, S. Öykü Yurttaş +2
Computer Science · Mathematics · #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Topological and Geometric Data Analysis #math.DS #msc:37B40 #msc:37E30

paper · pdf · doi:10.48550/arxiv.0808.3053

17 pages, 2 figures

arxiv created 2008/08/22 · arxiv updated 2009/12/01

Abstract

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 method is illustrated on two two-parameter families of braids.

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