Cho, Jin-Hwan; Ham, Ji-Young The minimal dilatation of a genus-two surface. (English) Zbl 1153.37375 Exp. Math. 17, No. 3, 257-267 (2008). Summary: 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. Cited in 19 Documents MSC: 37E30 Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces 37B40 Topological entropy 57M60 Group actions on manifolds and cell complexes in low dimensions Keywords:dilatation; pseudo-Anosov homeomorphism; genus-two surface; primitive matrix PDFBibTeX XMLCite \textit{J.-H. Cho} and \textit{J.-Y. Ham}, Exp. Math. 17, No. 3, 257--267 (2008; Zbl 1153.37375) Full Text: DOI Euclid