论文标题

连续的最小值在单型晶格空间上的一些测量理论和动力学特性

Some measure-theoretical and dynamical properties of successive minima on the space of unimodular lattices

论文作者

Xing, Hao

论文摘要

在本文中,我们研究了晶格基础与连续的最小值之间的关系,并对连续最小值的量度理论分布进行了估计。结果,我们还讨论了一些与更高成功的最小值相关的对数定律。

In this article, we study the relation between lattice basis and successive minima and give an estimate for the measure-theoretical distribution of successive minima. As consequences, we also discuss some logarithm laws associated to higher sucessive minima.

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