序列效应代数上的指数熵

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Reports on Mathematical Physics Pub Date : 2023-08-01 DOI:10.1016/S0034-4877(23)00054-X

Akhilesh Kumar Singh

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引用次数: 0

摘要

介绍了序效应代数上熵的一个新定义。与文献中定义的熵的对数行为不同，这里考虑的熵具有指数性质。对条件熵和动力系统上的熵进行了介绍和研究。并证明了在同构条件下动力系统的熵是不变的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Exponential entropy on sequential effect algebras

The present paper introduces a new definition of entropy on sequential effect algebras. Unlike the logarithmic behaviour of the entropy defined in the literature, the entropy considered here is of exponential nature. Conditional entropy and entropy on the dynamical system are also introduced and studied. It is also proved that entropy of the dynamical system is invariant under isomorphism.

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来源期刊

Reports on Mathematical Physics 物理-物理：数学物理

CiteScore

1.80

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： Reports on Mathematical Physics publish papers in theoretical physics which present a rigorous mathematical approach to problems of quantum and classical mechanics and field theories, relativity and gravitation, statistical physics, thermodynamics, mathematical foundations of physical theories, etc. Preferred are papers using modern methods of functional analysis, probability theory, differential geometry, algebra and mathematical logic. Papers without direct connection with physics will not be accepted. Manuscripts should be concise, but possibly complete in presentation and discussion, to be comprehensible not only for mathematicians, but also for mathematically oriented theoretical physicists. All papers should describe original work and be written in English.