The Minimum Dilatation of Pseudo-Anosov 5-Braids

@article{Ham2007TheMD,
  title={The Minimum Dilatation of Pseudo-Anosov 5-Braids},
  author={J. Ham and W. T. Song},
  journal={Experimental Mathematics},
  year={2007},
  volume={16},
  pages={167 - 179}
}
  • J. Ham, W. T. Song
  • Published 2007
  • Computer Science, Mathematics
  • Experimental Mathematics
The minimum dilatation of pseudo-Anosov 5-braids is shown to be the largest zero λ5 ≈ 1.72208 of x 4 -x 3 -x 2 -x+1, which is attained by σ1σ2σ3σ4σ1σ2. 
44 Citations
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  • 41
  • PDF
Least dilatation of pure surface braids
  • 2
  • PDF
Sequences of pseudo-Anosov mapping classes and their asymptotic behavior
  • 14
  • PDF
Ideal Triangulations of Pseudo-Anosov Mapping Tori
  • 47
  • PDF
Pseudo-Anosov maps with small stretch factors on punctured surfaces
  • 2
  • PDF
Minimal dilatations of pseudo-Anosovs generated by the magic 3–manifold and their asymptotic behavior
  • 12
  • Highly Influenced
  • PDF
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1
2
3
4
5
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References

SHOWING 1-10 OF 48 REFERENCES
A Note on Pseudo-Anosov Maps with Small Growth Rate
  • 15
  • PDF
Upper and Lower Bounds for the Minimal Positive Entropy of Pure Braids
  • 14
The forcing partial order on the three times punctured disk
  • 29
  • Highly Influential
An upper bound for the least dilatation
  • 27
  • PDF
A characterization of pseudo-Anosov foliations.
  • 35
  • Highly Influential
  • PDF
Classification of Weil-Petersson isometries
  • 66
  • PDF
Bounds on least dilatations
  • 115
  • PDF
Pseudo-Anosov homeomorphisms with quadratic expansion
  • 18
  • PDF
ENTROPIES OF BRAIDS
  • 44
Enumerating pseudo-Anosov foliations.
  • 11
  • Highly Influential
  • PDF
...
1
2
3
4
5
...