Geometric Interpretation of the Entropy of Sofic Systems

IF 0.5 4区计算机科学 Q4 COMPUTER SCIENCE, THEORY & METHODS

Problems of Information Transmission Pub Date : 2023-12-23 DOI:10.1134/s0032946023020047

G. D. Dvorkin

引用次数: 0

Abstract

We consider a geometric approach to the notion of metric entropy. We justify the possibility of this approach for the class of Borel invariant ergodic probability measures on sofic systems, which is the first result of such generality for non-Markovian systems.

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索菲克系统熵的几何解释

我们考虑用几何方法来处理度量熵的概念。我们证明了这种方法适用于索菲克系统上的博尔不变遍历概率度量类的可能性，这是非马尔可夫系统中第一个具有如此普遍性的结果。

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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来源期刊

Problems of Information Transmission 工程技术-计算机：理论方法

CiteScore

2.00

自引率

25.00%

发文量

审稿时长

>12 weeks

期刊介绍： Problems of Information Transmission is of interest to researcher in all fields concerned with the research and development of communication systems. This quarterly journal features coverage of statistical information theory; coding theory and techniques; noisy channels; error detection and correction; signal detection, extraction, and analysis; analysis of communication networks; optimal processing and routing; the theory of random processes; and bionics.