Slow north-south dynamics on

  • Mark C. Bell

    University of Illinois at Urbana-Champaign, Urbana, USA
  • Saul Schleimer

    University of Warwick, UK


Note by the authors: This article is in the public domain.

We consider the action of a pseudo-Anosov mapping class on . This action has north-south dynamics and so, under iteration, laminations converge exponentially to the stable lamination.

We study the rate of this convergence and give examples of families of pseudo-Anosov mapping classes where the rate goes to one, decaying exponentially with the word length. Furthermore we prove that this behaviour is the worst possible.

Cite this article

Mark C. Bell, Saul Schleimer, Slow north-south dynamics on . Groups Geom. Dyn. 11 (2017), no. 3, pp. 1103–1112

DOI 10.4171/GGD/423