Ergodic theory and the Strong Law of Large Numbers on Riesz spaces

@article{Kuo2007ErgodicTA,
  title={Ergodic theory and the Strong Law of Large Numbers on Riesz spaces},
  author={Wen-Chi Kuo and Coenraad C. A. Labuschagne and Bruce A. Watson},
  journal={Journal of Mathematical Analysis and Applications},
  year={2007},
  volume={325},
  pages={422-437}
}
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Discrete stochastic integration in Riesz spaces
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Markov processes on Riesz spaces
Measure-free discrete time stochastic processes in Riesz spaces were formulated and studied by Kuo, Labuschagne and Watson. Aspects relating martingales, stopping times, convergence of these…
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The sup-completion of a Dedekind complete vector lattice
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We study those aspects of continuous stochastic processes in Riesz spaces that enable us to state and prove the Doob–Meyer decomposition theorem for submartingales. We use the concepts developed for…
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