Geodesic
Polynomial rigidity and the spectra of Sidon automorphisms
Sbornik. Mathematics, Tome 215 (2024) no. 7, pp. 993-1006 Cet article a éte moissonné depuis la source Math-Net.Ru

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Continuum many spectrally disjoint Sidon automorphisms with tensor square isomorphic to a planar translation are produced. Their spectra do not have the group property. To show that their spectra are singular the polynomial rigidity of operators is used, which is related to the concept of linear determinism in the sense of Kolmogorov. In the class of mixing Gaussian and Poisson suspensions over Sidon automorphisms new sets of spectral multiplicities are realized. Bibliography: 12 titles.
Keywords: Sidon automorphisms, spectrum and disjointness of transformations, tensor roots, tensor products, polynomial rigidity, polynomial mixing. 
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V. V. Ryzhikov. Polynomial rigidity and the spectra of Sidon automorphisms. Sbornik. Mathematics, Tome 215 (2024) no. 7, pp. 993-1006. http://geodesic.mathdoc.fr/item/SM_2024_215_7_a5/

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