Braid Forcing, Hyperbolic Geometry, and Pseudo-Anosov Sequences of Low Entropy
We view braids as automorphisms of punctured disks and define a partial order on pseudo-Anosov braids called the "forcing order". The order measures whether one automorphism induces another given automorphism on the surface. Pseudo-Anosov growth rate decreases relative to the order and ap...
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Venzke, Rupert William (2008) Braid Forcing, Hyperbolic Geometry, and Pseudo-Anosov Sequences of Low Entropy. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/290Y-BY53. https://resolver.caltech.edu/CaltechETD:etd-05292008-085545 <https://resolver.caltech.edu/CaltechETD:etd-05292008-085545>