Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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BIRKHOFF'S ERGODIC THEOREMS IN TERMS OF WEIGHTED INDUCTIVE MEANS

  • Choi, Byoung Jin (Department of Mathematics Education Jeju National University) ;
  • Kim, Jae Hun (Department of Mathematics Chungbuk National University)
  • Received : 2021.04.08
  • Accepted : 2022.02.10
  • Published : 2022.05.01
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Abstract

In this paper, we study the Birkhoff's ergodic theorem on geodesic metric spaces, especially on Hadamard spaces, using the notion of weighted inductive means. Also, we study a deterministic weighted sequence for the weighted Birkhoff's ergodic theorem in Hadamard spaces.

Keywords

Acknowledgement

B. J. Choi was supported by the 2022 scientific promotion program funded by Jeju National University.

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