On the genericity of pseudo-Anosov braids I: rigid braids
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چکیده
We prove that, in the l-ball of the Cayley graph of the braid group with n > 3 strands, the proportion of rigid pseudo-Anosov braids is bounded below independently of l by a positive value.
منابع مشابه
On the Genericity of Pseudo-anosov Braids Ii: Conjugations to Rigid Braids
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 generating set, we prove that the proportion of pseudo-Anosov braids in the ball of radius l tends to 1 exponentially quickly as l tends to infinity. Moreover, with a similar notion of genericity, we prove that for generic...
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تاریخ انتشار 2013