Ji-Young Ham, Won Taek Song
Published 2005-06-15, updated 2006-01-24Version 3
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 $\sigma_1\sigma_2\sigma_3\sigma_4\sigma_1\sigma_2$.
Comments: 21 pages, 9 figures; a Mathematica script included in the source file as fbrmin.m and fbrmin.ps; one more section is added for describing implementation and some more subsections are added to Introduction
On the minimum dilatation of braids on punctured discs
On the minimum dilatation of pseudo-Anosov homeomorphisms on surfaces of small genus
On pseudo-Anosov mapping classes with minimum dilatation and Lanneau-Thiffeault numbers
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