可测动力学中的组合独立性
Combinatorial independence in measurable dynamics
摘要：
基于组合独立性，提出了测度熵和测度序列熵的细尺度局部分析方法。引入测度IE-元组和测度IN-元组的概念，并与拓扑动力学中的相应概念进行类比研究。利用组合独立性、l_1几何和Voiculescu的完全正逼近熵给出了PinskervonNeumann代数及其序列熵模拟的局部刻画.我们的本地研究的新功能之一是一般离散代理组的治疗，在熵的情况下顺从的结构假设。
英文摘要：
We develop a fine-scale local analysis of measure entropy and measure sequence entropy based on combinatorial independence. The concepts of measure IE-tuples and measure IN-tuples are introduced and studied in analogy with their counterparts in topological dynamics. Local characterizations of the Pinsker von Neumann algebra and its sequence entropy analogue are given in terms of combinatorial independence, l_1 geometry, and Voiculescu's completely positive approximation entropy. Among the novel features of our local study is the treatment of general discrete acting groups, with the structural assumption of amenability in the case of entropy.
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。
