加权序列熵和最大模式熵

IF 1.3 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Journal of Statistical Physics Pub Date : 2025-04-21 DOI:10.1007/s10955-025-03445-6

Xiaoxiao Nie, Yu Huang

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引用次数: 0

摘要

作为加权熵的扩展，定义了加权拓扑序列熵和加权测度理论序列熵。建立了两个加权序列熵的变分关联原理。定义了加权最大模式熵。在拓扑和测度理论条件下，证明了同胚动力系统的加权最大模式熵等于整数中所有严格递增序列的加权序列熵的最大值。

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Weighted Sequence Entropy and Maximal Pattern Entropy

As an extension of weighted entropy, the weighted topological sequence entropy and the weighted measure-theoretic sequence entropy are defined. A variational principle of relating the two weighted sequence entropies is established. The weighted maximal pattern entropy is also defined. It is shown that for homeomorphism dynamical systems the weighted maximal pattern entropy is equal to the supremum of the weighted sequence entropies over all strictly increasing sequences in integers both in topological and measure-theoretic settings.

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来源期刊

Journal of Statistical Physics 物理-物理：数学物理

CiteScore

3.10

自引率

12.50%

发文量

152

审稿时长

3-6 weeks

期刊介绍： The Journal of Statistical Physics publishes original and invited review papers in all areas of statistical physics as well as in related fields concerned with collective phenomena in physical systems.