Abstract
AbstractThe repartition of dense orbits of lattices in the Euclidean plane were described by Ledrappier and Nogueira. We present here an elementary description of the gaps appearing in the experimentations. The main idea behind this description is to see the Euclidean plane as the space of (upper triangular) unipotent orbits in SL(2,ℝ). We conclude with the remark that this analysis may be carried on in much more general settings.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,General Mathematics
Reference7 articles.
1. Linear Algebraic Groups
2. [4] Guilloux A. . Polynomial dynamic and lattice orbits in S-arithmetic homogeneous spaces, Preprint, arXiv: 0902:1910, http://www.umpa.ens-lyon.fr/∼aguillou/articles/equihomo.pdf.
3. Distribution of lattice orbits on homogeneous varieties
4. Uniform distribution of orbits of lattices on spaces of frames
5. Distribution des orbites des réseaux sur le plan réel
Cited by
6 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献