Abstract
We apply some of the ideas of Margulis's Ph.D. dissertation to Teichmüller space. Let X be a point in Teichmüller space, and let B R.X/ be the ball of radius R centered at X (with distances measured in the Teichmüller metric). We obtain asymptotic formulas as R tends to infinity for the volume of B R.X/, and also for the cardinality of the intersection of B R.X/ with an orbit of the mapping class group.
Original language | English (US) |
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Pages (from-to) | 1055-1111 |
Number of pages | 57 |
Journal | Duke Mathematical Journal |
Volume | 161 |
Issue number | 6 |
DOIs | |
State | Published - Apr 15 2012 |
Externally published | Yes |
ASJC Scopus subject areas
- General Mathematics