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arXiv · 1908.02611

Strongly Independent Matrices and Rigidity of $\times A$-Invariant Measures on $n$-Torus

Huichi Huang·Hanfeng Li·Enhui Shi·Hui Xu
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Abstract

We introduce the concept of strongly independent matrices over any field, and prove the existence of such matrices for certain fields and the non-existence for algebraically closed fields. Then we apply strongly independent matrices over rational numbers to obtain a measure rigidity result for endomorphisms on $n$-torus.

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Huichi Huang, Hanfeng Li, Enhui Shi, Hui Xu. 2019-08-06. Strongly Independent Matrices and Rigidity of $\times A$-Invariant Measures on $n$-Torus. https://arxiv.org/abs/1908.02611

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