## Experimental Mathematics

### The Minimal Dilatation of a Genus-Two Surface

#### Abstract

We show that the minimal dilatation of pseudo-Anosov homeomorphisms of a closed oriented genus-two surface is equal to the largest root of $x^4-x^3-x^2-x+1$, which is approximately 1.72208.

#### Article information

Source
Experiment. Math., Volume 17, Issue 3 (2008), 257-267.

Dates
First available in Project Euclid: 19 November 2008