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math.GT2013
On the genericity of pseudo-Anosov braids II: conjugations to rigid braids
Sandrine Caruso, Bert Wiest
We prove that generic elements of braid groups are pseudo-Anosov, in the following sense: in the Cayley graph of the braid group with n 3 strands, with respect to Garside's g…
math.GT2013
On the genericity of pseudo-Anosov braids I: rigid braids
Sandrine Caruso
We prove that, in the -ball of the Cayley graph of the braid group with strands, the proportion of rigid pseudo-Anosov braids is bounded below independently of $…