广义熵形式综述
An overview of generalized entropic forms
摘要：
这封焦点信的目的是提出一个全面的分类的主要熵的形式介绍了在过去的五十年中的统计物理和信息理论的框架。它们中的大多数可以分为三个家族，其特征在于两个变形参数，分别由Sharma，Taneja和Mittal（度熵$(α,\,β$），由Sharma和Mittal（$(α,\,β)$阶熵），以及由Hanel和Thurner（$(c,\,d)$类熵）引入。许多熵的形式检查将系统的特点是通过重要的概念，如它们的公理基础{ \em à la}香农-欣钦和随之而来的统计独立系统的可组合性规则。其他关键方面有关的Lesche稳定性的信息措施和他们的一致性与肖尔-约翰逊公理将简要讨论一般地面。
英文摘要：
The aim of this focus letter is to present a comprehensive classification of the main entropic forms introduced in the last fifty years in the framework of statistical physics and information theory. Most of them can be grouped into three families, characterized by two-deformation parameters, introduced respectively by Sharma, Taneja, and Mittal (entropies of degree $(α,\,β$)), by Sharma and Mittal (entropies of order $(α,\,β)$), and by Hanel and Thurner (entropies of class $(c,\,d)$). Many entropic forms examined will be characterized systematically by means of important concepts such as their axiomatic foundations {\em à la} Shannon-Khinchin and the consequent composability rule for statistically independent systems. Other critical aspects related to the Lesche stability of information measures and their consistency with the Shore-Johnson axioms will be briefly discussed on a general ground.
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