1998/11/01 by William A. Veech · 2 citations
Mathematics · #math.DS
published as Ann. of Math. (2) 148 (1998), no. 3, 895-944 · 50 pages, published version
arxiv created 1998/11/01 · arxiv updated 2009/11/30
The goals of this paper are first to describe and then to apply an ergodic-theoretic generalization of the Siegel integral formula from the geometry of numbers. The general formula will be seen to serve both as a guide and as a tool for questions concerning the distribution, in senses to be made precise, of the set of closed leaves of measured foliations subordinate to meromorphic quadratic differentials on closed Riemann surfaces.