3 papers
math.DS2025
The Shannon-McMillan-Breiman theorem of random dynamical systems for amenable group actions
Yuan Lian, Bin Zhu
The Shannon-McMillan-Breiman theorem is one of the most important results in information theory, which can describe the random ergodic process, and its proof uses the famous Birkho…
math.DS2025
Conditional entropy for Amenable group actions
Yuan Lian, Bin Zhu
Let G be an infinite discrete countable amenable group acting continuously on a Lebesgue space X. In this article, using partition and factor-space, the conditional entropy of the…
math.DS2024
Weyl mean equicontinuity and Weyl mean sensitivity of a random dynamical system
Yuan Lian
In this article, we introduce the concepts of Weyl mean equicontinuity and Weyl mean sensitivity of a random dynamical system associated to an infinite countable discrete amenable…