Ergodic theory and the Strong Law of Large Numbers on Riesz spaces |
| |
| Authors: | Wen-Chi Kuo Bruce A Watson |
| |
| Institution: | School of Mathematics, University of the Witwatersrand, Private Bag 3, PO WITS 2050, South Africa |
| |
| Abstract: | In W.-C. Kuo, C.C.A. Labuschagne, B.A. Watson, Discrete-time stochastic processes on Riesz spaces, Indag. Math. (N.S.) 15 (3) (2004) 435-451], we introduced the concepts of conditional expectations, martingales and stopping times on Riesz spaces. Here we formulate and prove order theoretic analogues of the Birkhoff, Hopf and Wiener ergodic theorems and the Strong Law of Large Numbers on Riesz spaces (vector lattices). |
| |
| Keywords: | Conditional expectation Riesz space Zero-one Ergodic Law of large numbers |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
