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arXiv · 2005.00449

On measure-preserving rank one transformations

V. V. Ryzhikov
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Abstract

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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V. V. Ryzhikov. 2020-05-01. On measure-preserving rank one transformations. https://arxiv.org/abs/2005.00449

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