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math.DS2020
Entropy invariants of generic actions
V. V. Ryzhikov
We show that the typical dynamical system sometimes begins to behave like a non-deterministic system with a small classical entropy, and this behavior lasts an extremely long time,…
math.DS2020
On measure-preserving rank one transformations
V. V. Ryzhikov
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…