arXiv subjects

Chia-Yen Tsai

Publications and source records attributed to Chia-Yen Tsai.

2 recordsLinked to original sources

arXiv2011

Minimal pseudo-Anosov translation lengths on the complex of curves

We establish bounds on the minimal asymptotic pseudo-Anosov translation lengths on the complex of curves of orientable surfaces. In particular, for a closed surface with genus $g \geqslant 2$, we show that there are positive constants $a_1 < a_2$ such that the minimal translation length is bounded below and above by $a_1/ g^2$ and $a_2/g^2$.

math.GT↗

arXiv2008

The asymptotic behavior of least pseudo-Anosov dilatations

For a surface $S$ with $n$ marked points and fixed genus $g\geq2$, we prove that the logarithm of the minimal dilatation of a pseudo-Anosov homeomorphism of $S$ is on the order of $(\log n)/n$. This is in contrast with the cases of genus zero or one where the order is $1/n$.

math.GT↗