The minimum dilatation of pseudo-Anosov 5-braids
classification
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math.DS
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sigmabraidsdilatationminimumpseudo-anosovapproxattainedlambda
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The minimum dilatation of pseudo-Anosov 5-braids is shown to be the largest zero $\lambda_5 \approx 1.72208$ of $x^4 - x^3 - x^2 - x + 1$ which is attained by $\sigma_1\sigma_2\sigma_3\sigma_4\sigma_1\sigma_2$.
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