Borel流的规则截面
Regular cross sections of Borel flows
摘要：
任何自由波莱尔流都允许一个截面在相邻点之间只有两个可能的距离。证明了非光滑流是Lebesgue轨道等价的当且仅当它们具有相同数目的不变遍历概率测度。
英文摘要：
Any free Borel flow is shown to admit a cross section with only two possible distances between adjacent points. Non smooth flows are proved to be Lebesgue orbit equivalent if and only if they admit the same number of invariant ergodic probability measures.
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。
