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

Hao Xing

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arXiv · 2212.14373

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

Hao Xing

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Abstract

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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Hao Xing. 2022-12-29. Some measure-theoretical and dynamical properties of successive minima on the space of unimodular lattices. https://arxiv.org/abs/2212.14373

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