Entropy dimensions and a class of constructive examples

Entropy dimensions and a class of constructive examples
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DOI:
10.3934/dcds.2007.17.133
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发表时间:
2006-10
影响因子:
1.1
通讯作者:
S. Ferenczi;K. Park
S. Ferenczi;K. Park
中科院分区:
数学3区
文献类型:
--
作者:
S. Ferenczi;K. Park

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在研究$\Z^{2}$和更一般群的作用及其非紧子群作用的基础上,我们研究了确定性系统的熵型不变量。特别地,我们定义了一个新的同构不变量,熵维,并观察了它在实例上的行为。我们还研究了其他适合于过程的自然概念。
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.