Abstract
The ergodic theorem of G. D. Birkhoff [2,3] is an early and very basic result of ergodic theory. Simpler versions of this theorem will be discussed before giving two well known proofs of the measure theoretic case. A third purely set theoretic proof will be given in Chapter 10.
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Nadkarni, M.G. (2013). Ergodic Theorems of Birkhoff and von Neumann. In: Basic Ergodic Theory. Texts and Readings in Mathematics, vol 6. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-86279-53-8_2
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DOI: https://doi.org/10.1007/978-93-86279-53-8_2
Publisher Name: Hindustan Book Agency, Gurgaon
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