Invariant measures of action of amenable groups and their entropy
نویسندگان
1 Department of Electrical Engineering, Central Tehran Branch, Islamic Azad University, Tehran, Iran
2 Department of Mathematics, Jundi-Shapur University of Technology, Dezful, Iran
3 Department of Mathematics, Jundi-Shapur University of Technology, Dezful, Iran
doi
10.22091/maa.2024.10600.1018چکیده
In this article, with the help of the concept of diagonal measure, we define an information function for the amenable group action on a compact metric space and then obtain the entropy of the group action from it. In other words, we show that the integral of the defined information function will be equal to the entropy of the amenable group action.
