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- W2949783469 abstract "It was proved by Brudno that entropy and Kolmogorov complexity for dynamical systems are tightly related. We generalize his results to the case of arbitrary computable amenable group actions. Namely, for an ergodic shift-action, the asymptotic Kolmogorov complexity of a typical point is equal to the Kolmogorov-Sinai entropy of the action. For topological shift actions, the asymptotic Komogorov complexity of every point is bounded from above by the topological entropy, and there is a point attaining this bound." @default.
- W2949783469 created "2019-06-27" @default.
- W2949783469 creator A5053282722 @default.
- W2949783469 date "2018-09-05" @default.
- W2949783469 modified "2023-09-27" @default.
- W2949783469 title "Kolmogorov complexity and entropy of amenable group actions" @default.
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