论文标题

自相似的奇异行动的光谱

Spectra of self-similar ergodic actions

论文作者

Ryzhikov, Valery V.

论文摘要

该注释专门用于无限的自相似等级1结构及其在动力学系统光谱理论中的应用。由自相似结构引起的正交操作员的性质提供了高斯和泊松悬架的某些异常光谱特性。

This note is devoted to infinite self-similar rank 1 constructions and their applications to the spectral theory of dynamical systems. The properties of orthogonal operators induced by self-similar constructions provide some unusual spectral properties of Gaussian and Poisson suspensions.

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