Entropy dimensions and a class of constructive examples | Zendy

Sébastien Ferenczi | Zendy; Kyewon Koh Park | Zendy

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Entropy dimensions and a class of constructive examples

Author(s) -

Sébastien Ferenczi,

Kyewon Koh Park

Publication year - 2007

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2007.17.133

Subject(s) - constructive , mathematics , pure mathematics , entropy (arrow of time) , invariant (physics) , isomorphism (crystallography) , discrete mathematics , computer science , physics , chemistry , process (computing) , quantum mechanics , crystal structure , mathematical physics , crystallography , operating system

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.

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