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    ×
  • Ergodic Theory and Dynamical Systems, Volume 6, Issue 1
  • March 1986, pp. 99-116

Measured foliations and handlebodies

  • Howard Masur (a1)
  • DOI: http://dx.doi.org/10.1017/S014338570000331X
  • Published online: 01 September 2008
Abstract
Abstract

We consider the action of the subgroup of the mapping class group consisting of homeomorphisms that extend to the handlebody on Thurston's sphere of measured foliations. Properties of the limit set and domain of discontinuity are described and for genus two it is shown the limit set has measure zero.

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This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

[5]B. Maskit . Self-maps of Kleinian groups. Amer. J. Math 93 (1971), 840856.

[6]H. Masur . Interval exchange transformations and measured foliations. Annals of Math. 115 (1982), 169200.

[7]M. Rees . An alternative approach to the ergodic theory of measured foliations on surfaces. Ergod. Th. & Dynam. Sys. 1 (1981), 461485.

[10]W. Veech . Interval exchange transformations. J. D' Analyse Math 33 (1978), 222278.

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Ergodic Theory and Dynamical Systems
  • ISSN: 0143-3857
  • EISSN: 1469-4417
  • URL: /core/journals/ergodic-theory-and-dynamical-systems
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