Topological Sequence Entropy

Topological Sequence Entropy
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DOI:
10.1112/plms/s3-29.2.331
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发表时间:
1974-09
影响因子:
1.8
通讯作者:
T. T.N.;Goodman
T. T.N.;Goodman
中科院分区:
数学1区
文献类型:
--
作者:
T. T.N.;Goodman

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在[11]中,Kushnirenko扩展了保测度变换的熵的定义,给出了一个新的不变量:序列熵。以一种精确类似的方式,我们可以扩展连续映射的拓扑熵的定义,给出一个新的不变量,我们称之为拓扑序列熵(tse)。本文研究了TSE的一些性质
In [11], Kushnirenko extended the definition of the entropy of a measure-preserving transformation to give a new invariant: sequence entropy. In a precisely analogous way, we may extend the definition of the topological entropy of a continuous map to give a new invariant which we call topological sequence entropy (tse). This paper studies some properties of tse