Ergodicity in Riesz Spaces

DOI10.1007/978-3-030-70974-7_9zbMath1484.46008arXiv2010.07206OpenAlexW3093116446MaRDI QIDQ5152982

Jonathan Homann, Wen-Chi Kuo, Bruce Alastair Watson

Publication date: 28 September 2021

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.07206

zbMATH Keywords

ergodicityweak mixingRiesz spacesconditional expectation operators

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Ergodic theory of linear operators (47A35) Ergodicity, mixing, rates of mixing (37A25) Ordered topological linear spaces, vector lattices (46A40)

Related Items

The Kac formula and Poincaré recurrence theorem in Riesz spaces ⋮ Characterisation of conditional weak mixing via ergodicity of the tensor product in Riesz spaces

Cites Work

• \(L^p\)-spaces with respect to conditional expectation on Riesz spaces
• An Andô-Douglas type theorem in Riesz spaces with a conditional expectation
• Ergodic theory and the strong law of large numbers on Riesz spaces
• Banach lattices
• Mixing inequalities in Riesz spaces
• Conditional expectations on Riesz spaces
• Markov processes on Riesz spaces
• Jensen's and martingale inequalities in Riesz spaces
• The Kolmogorov-Čentsov theorem and Brownian motion in vector lattices
• The Hájek-Rényi-Chow maximal inequality and a strong law of large numbers in Riesz spaces
• Limit laws for martingales in vector lattices
• Weakly α-favourable measure spaces
• Bernoulli Processes in Riesz Spaces
• A Koopman-von Neumann type theorem on the convergence of Cesàro means in Riesz spaces
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