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Siegel measures

William A. Veech
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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.

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William A. Veech. 1998-11-01. Siegel measures. https://arxiv.org/abs/math/9811183

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