Lattice Point Asymptotics and Volume Growth on Teichmuller space.

We apply some of the ideas of the Ph.D. Thesis of G. A. Margulis (Mar70) to Teichmuller space. Let X be a point in Teichmuller space, and let BR(X) be the ball of radius R centered at X (with distances measured in the Teichmuller metric). We obtain asymptotic formulas as R tends to infinity for the volume of BR(X), and also for the cardinality of the intersection of BR(X) with an orbit of the mapping class group.

• Publication year

  2006

• Venue

  Duke Mathematical Journal

• Publication date

  2006-10-24

• Fields of study

  Mathematics

• Identifiers
  DOI 10.1215/00127094-1548443arXiv math/0610715
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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