Acta mathematica scientia,Series A ›› 2017, Vol. 37 ›› Issue (3): 534-543.

Previous Articles     Next Articles

Ergodic Theorems of Periodic Discrete Dynamical Systems

Huang Qiuling1, Shi Yuming2, Zhang Lijuan3   

  1. 1. School of Mathematic and Quantitative Economics, Shandong University of Finance and Economics, Jinan 250014;
    2 Department of Mathematics, Shandong University, Jinan 250014;
    3 School of Mathematics and Statistic Science, Ludong University, Shandong Yantai 264025
  • Received:2015-11-30 Revised:2016-10-20 Online:2017-06-26 Published:2017-06-26
  • Supported by:
    Supported by the Project of Shandong Province Higher Educational Science and Technology Program (J15LI04), the Natural Science Foundation of Shandong Province (ZR2011AM002), the NSF (61403126) and the Young and Middle-aged Scientists Research Awards Foundation of Shandong Province (BS2013SF029)

Abstract: This paper focuses on ergodic theorems for periodic discrete systems. The mean ergodic theorem in Hilbert spaces and ergodic theorems for autonomous dynamical systems are generalized to periodic discrete systems, including von Neumann mean ergodic theorem and Birkhoff pointwise ergodic theorem.

Key words: Ergodicity, Ergodic theorem, Measure-preserving transformation, Periodic discrete dynamical system

CLC Number: 

  • O19
Trendmd