4 papers
The Kac formula and Poincaré recurrence theorem in Riesz spaces
Youssef Azouzi, Mohamed Amine Ben Amor, Jonathan Homann +2
Riesz space (non-pointwise) generalizations for iterative processes are given for the concepts of recurrence, first recurrence and conditional ergodicity. Riesz space conditional v…
Characterisation of conditional weak mixing via ergodicity of the tensor product in Riesz Spaces
Mohamed Amine Ben Amor, Jonathan M. Homann, Wenchi Kuo +1
We link conditional weak mixing and ergodicity of the tensor product in Riesz spaces. In particular, we characterise conditional weak mixing of a conditional expectation preserving…
On the Koopman-von Neumann convergence condition of Cesàro means in Riesz spaces
Jonathan Homann, Wen-Chi Kuo, Bruce A. Watson
We extend the Koopman-von Neumann convergence condition on the Cesàro mean to the context of a Dedekind complete Riesz space with weak order unit. As a consequence, a characterisat…
Ergodicity in Riesz spaces
Jonathan Homann, Wen-Chi Kuo, Bruce A. Watson
The ergodic theorems of Hopf, Wiener and Birkhoff were extended to the context of Riesz spaces with a weak order unit and conditional expectation operator by Kuo, Labuschagne and W…