Conformal Geometry and Dynamics

Author(s): James W. Anderson; Javier Aramayona; Kenneth J. Shackleton
Journal: Conform. Geom. Dyn. 11 (2007), 44-55.
MSC (2000): Primary 20F65; Secondary 57M50
Posted: March 15, 2007
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Abstract: We quantify the generation of free subgroups of surface mapping class groups by pseudo-Anosov mapping classes in terms of their translation distance and the distance between their axes in Teichmüller's metric. The method makes reference to Teichmüller space only.

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Retrieve articles in Conformal Geometry and Dynamics with MSC (2000): 20F65, 57M50

James W. Anderson
Affiliation: School of Mathematics, University of Southampton, Southampton SO17 1BJ, England
Email: j.w.anderson@soton.ac.uk

Javier Aramayona
Affiliation: Mathematics Institute, University of Warwick, Coventry CV4 7AL, England
Email: jaram@maths.warwick.ac.uk

Kenneth J. Shackleton
Affiliation: Institut des Hautes Études Scientifiques, Le Bois-Marie, 35 Route de Chartres, F-91440 Bures-sur-Yvette, France
Address at time of publication: Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, 2-12-1 O-okayama, Meguro-ku, Tokyo 152-8552, Japan
Email: kjs2006@alumni.soton.ac.uk; shackleton.k.aa@m.titech.ac.jp

DOI: 10.1090/S1088-4173-07-00156-7
PII: S 1088-4173(07)00156-7
Received by editor(s): May 15 2006
Received by editor(s) in revised form: November 8, 2006
Posted: March 15, 2007
Additional Notes: The third author was partially supported by a short-term Japan Society for the Promotion of Science post-doctoral fellowship for foreign researchers, number PE05043.
Copyright of article: Copyright 2007, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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