线性常返动力Cantor系统的连续可测特征函数
Continuous and measurable eigenfunctions of linearly recurrent dynamical Cantor systems
摘要：
这类线性常返Cantor系统包含置换子移位和一些里程表。对于替换子移位和里程计测量-理论和连续特征值是相同的。这是自然的问是否刚性性质仍然为真的一类线性回归康托系统。我们对这个问题给出了部分答案。
英文摘要：
The class of linearly recurrent Cantor systems contains the substitution subshifts and some odometers. For substitution subshifts and odometers measure--theoretical and continuous eigenvalues are the same. It is natural to ask whether this rigidity property remains true for the class of linearly recurrent Cantor systems. We give partial answers to this question.
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。
