Sequences of pseudo-Anosov mapping classes and their asymptotic behavior

2010/06/23 by Aaron D. Valdivia, Valdivia, Aaron D. · 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.1006.4409

openalex publication_date 2010/06/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct sequences of pseudo-Anosov mapping classes whose dilatations behave asymptotically like the inverse of the Euler characteristic of the surface they are defined on. These sequences are used to show that if the genus, g, and punctures, n, of a surface are related by a rational ray g=rn then the minimal dilatations behave asymptotically like the inverse of the Euler characteristic.

Citations

• Die Gruppe der Abbildungsklassen: Das arithmetische Feld auf Flächen

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