中文

伪Anosov 5-辫的最小膨胀率

几何拓扑 2007-05-23 v3 动力系统

摘要

伪Anosov 5-辫的最小膨胀率被证明为 x4x3x2x+1x^4 - x^3 - x^2 - x + 1 的最大零点 λ51.72208\lambda_5 \approx 1.72208,该值由 σ1σ2σ3σ4σ1σ2\sigma_1\sigma_2\sigma_3\sigma_4\sigma_1\sigma_2 达到。

关键词

引用

@article{arxiv.math/0506295,
  title  = {The minimum dilatation of pseudo-Anosov 5-braids},
  author = {Ji-Young Ham and Won Taek Song},
  journal= {arXiv preprint arXiv:math/0506295},
  year   = {2007}
}

备注

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