Diagonal measure and entropy of dynamical systems

نویسندگان
Rahimi, Mehdi ID 1
Bidabadi, Nahid ID 2

1 Department of Mathematics, University of Qom, Qom, Iran

2 Department of Mathematics, University of Qom, Qom, Iran

doi
10.22091/maa.2023.9496.1005
چکیده

In this paper, we first define the concept of diagonal measure corresponding to an invariant measure of a compact dynamical system and will investigate some of its properties. Finally, we show that, integrating a suitable function with respect to the diagonal measure results in the metric entropy of a compact dynamical system.

کلیدواژه‌ها
Metric entropy, information function, invariant measure, ergodic measure, diagonal measure