The Minimum Dilatation of Pseudo-Ansonov 5-Braids
Ham, Ji-Young ; Song, Won Taek
Experiment. Math., Tome 16 (2007) no. 1, p. 167-180 / Harvested from Project Euclid
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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 $\sigma_1\sigma_2\sigma_3\sigma_4\sigma_1\sigma_2$.
Publié le : 2007-05-15
Classification:  Dilation,  train track,  braid,  37E30,  37B40,  57M60 
@article{1204905873,
     author = {Ham, Ji-Young and Song, Won Taek},
     title = {The Minimum Dilatation of Pseudo-Ansonov 5-Braids},
     journal = {Experiment. Math.},
     volume = {16},
     number = {1},
     year = {2007},
     pages = { 167-180},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1204905873}
}

Ham, Ji-Young; Song, Won Taek. The Minimum Dilatation of Pseudo-Ansonov 5-Braids. Experiment. Math., Tome 16 (2007) no. 1, pp.  167-180. http://gdmltest.u-ga.fr/item/1204905873/