论文标题
重新审视同构问题：信息谱方法
Isomorphism Problem Revisited: Information Spectrum Approach
论文作者
论文摘要
从信息频谱方法的角度重新审视了沿着崇高理论中的同构问题，该方法已开发出来，以研究信息理论中非共性随机过程的编码问题。事实证明，在同构下，信息谱是不变的。该结果与信息光谱的分析一起提供了šujan结果的概念简单证明，该证明声称熵光谱在同构下是不变的。在哪些情况下，相同的信息谱也意味着同构的存在。
The isomorphism problem in the ergodic theory is revisited from the perspective of information spectrum approach, an approach that has been developed to investigate coding problems for non-ergodic random processes in information theory. It is proved that the information spectrum is invariant under isomorphisms. This result together with an analysis of information spectrum provide a conceptually simple proof of the result by Šujan, which claims that the entropy spectrum is invariant under isomorphisms. It is also discussed under what circumstances the same information spectrum implies the existence of an isomorphism.
