Abstract:
Dynamical systems with new spectral properties are constructed using approximation theory. It is proved that these properties are generic (in a metric and topological sense) and realized within the class of smooth systems preserving a smooth measure.
Bibliography: 21 titles.
This publication is cited in the following 30 articles:
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V. V. Ryzhikov, “Weak limits of powers, simple spectrum of
symmetric products, and rank-one mixing constructions”, Sb. Math., 198:5 (2007), 733–754
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A. E. Troitskaya, “On isomorphity of measure-preserving $\mathbb Z^2$-actions that have isomorphic Cartesian powers”, J. Math. Sci., 159:6 (2009), 879–893
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