Lagarias和Wang超平面零点猜想的证明
Proof of the Hyperplane Zeros Conjecture of Lagarias and Wang
摘要：
本文证明了环面群在扩张自同态下的象所包含的实解析子集是闭子群的平移的有限并。这证实了超平面零点猜想的Lagarias和王真正的解析品种。我们的证明使用了实解析几何，拓扑动力学和傅里叶分析。
英文摘要：
We prove that a real analytic subset of a torus group that is contained in its image under an expanding endomorphism is a finite union of translates of closed subgroups. This confirms the hyperplane zeros conjecture of Lagarias and Wang for real analytic varieties. Our proof uses real analytic geometry, topological dynamics and Fourier analysis.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
