Small dilatation pseudo-Anosov mapping classes and short circuits on train track automata

2014/03/12 by Eriko Hironaka, Hironaka, Eriko · 1 citation
Computer Science · Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1403.2987

openalex publication_date 2014/03/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

This note gives a brief survey of the minimum dilatation problem for pseudo-Anosov mapping classes, and the first explicit train track description of an infinite family of pseudo-Anosov mapping classes with orientable stable foliations and the conjectural minimum dilatation for closed surfaces of even genus g ≥ 2.

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