同调类上测地线的等分布及自由群中的类比
数论
2007-05-23 v3
摘要
我们研究测地线在紧黎曼曲面的同调格的固定集合中具有同调的频繁程度。我们证明闭测地线关于某一特定范数依渐近密度在任何集合上都是等分布的。我们解释了自由群、共轭类与离散对数中的类比，特别地，我们研究了具有互素离散对数的共轭类的密度。
引用
@article{arxiv.math/0509513,
title = {Equidistribution of geodesics on homology classes and analogues for free groups},
author = {Yiannis Petridis and Morten S. Risager},
journal= {arXiv preprint arXiv:math/0509513},
year = {2007}
}
备注
24 pages, 2 figures. Changes: Include a reference to a preprint of Collier and Sharp where they apply our techniques to variable curvature. Corrected a lemma which Collier and Sharp pointed out was wrong. Our main theorem changed accordingly