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

Ryzhikov, V. V.

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.

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