Tell me a pseudo-Anosov (Q1708847)

Summary: This is a short introduction to and a survey on pseudo-Anosov maps. The author starts in Section 1 by ``An instructive example''. Section 2 is on foliations and pseudo-Anosov homeomorphisms. Section 3 is on modular groups, and the author states the Nielsen-Thurston classification of surface homeomorphisms. Section 4 is on several constructions of pseudo-Anosov homeomorphisms, among these the Thurston-Veech or bouillabaisse construction. Further short sections treat abundance, counting and expansion factors of pseudo-Anosov homeomorphisms and some further conjectures and results.