On genericity of pseudo-Anosovs in the Torelli group
classification
🧮 math.GT
keywords
grouptorelliwordcloseddecaysexponentiallyfinitegenerating
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We show that, for any (symmetric) finite generating set of the Torelli group of a closed surface, the probability that a random word is not pseudo-Anosov decays exponentially in terms of the length of the word.
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