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Spectra of self-similar ergodic actions - MaRDI portal

Spectra of self-similar ergodic actions

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Publication:6393667

DOI10.1134/S0001434623010303arXiv2203.07350MaRDI QIDQ6393667

Valery Ryzhikov

Publication date: 14 March 2022

Abstract: 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.





Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05)








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