Equidistribution of primitive rational points on expanding horospheres
Equidistribution of primitive rational points on expanding horospheres
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DOI：
10.1112/s0010437x15007605
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发表时间：
2016-04-01
影响因子：
1.8
通讯作者：
Shapira, Uri
中科院分区：
文献类型：
--
作者：
Einsiedler, Manfred;Mozes, Shahar;Shapira, Uri
我们证实了一个猜想Marklof关于有限分布的某些稀疏收集点扩大horospheres。这些集合是由交叉的扩展horosphere与一定的流形的互补尺寸，原来是算术性质。这个结果然后使用沿着线建议的Marklof给一个类似的结果施密特关于分布的形状正交于整数向量的格子。
We confirm a conjecture of Marklof regarding the limiting distribution of certain sparse collections of points on expanding horospheres. These collections are obtained by intersecting the expanded horosphere with a certain manifold of complementary dimension and turns out to be of arithmetic nature. This result is then used along the lines suggested by Marklof to give an analogue of a result of Schmidt regarding the distribution of shapes of lattices orthogonal to integer vectors.