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Entropy dimensions and a class of constructive examples

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  • Motivated by the study of actions of $\Z^{2}$ and more general groups, and their non-cocompact subgroup actions, we investigate entropy-type invariants for deterministic systems. In particular, we define a new isomorphism invariant, the entropy dimension, and look at its behaviour on examples. We also look at other natural notions suitable for processes.
    Mathematics Subject Classification: Primary 37A35; Secondary 37A15.


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