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http://dx.doi.org/10.4134/JKMS.j210239

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)
Publication Information
Journal of the Korean Mathematical Society / v.59, no.3, 2022 , pp. 549-570 More about this Journal
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
Birkhoff's ergodic theorem; weighted inductive means; barycenter; Hadamard space;
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