论文标题
在衡量标准方面一项转变
On measure-preserving rank one transformations
论文作者
论文摘要
等级1转化是厄基德理论中的示例来源,显示了动态系统的多种代数,渐近和光谱特性。等级一转换的性质与其作用的弱闭合密切相关。在这个方向上,研究了已知的转换和相关问题的新结构。
Rank one transformations serve as a source of examples in ergodic theory, showing variety of algebraic, asymptotic and spectral properties of dynamical systems. The properties of a rank one transformation are closely related to the weak closure of its action. In this direction, known and new constructions of transformations and related problems are studied.