English

Siegel measures

Dynamical Systems 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.math/9811183,
  title  = {Siegel measures},
  author = {William A. Veech},
  journal= {arXiv preprint arXiv:math/9811183},
  year   = {2007}
}

Comments

50 pages, published version