Abstract
One of the most well-known results in ergodic theory is the so-called dominated ergodic theorem. In fact, this name is attributed to an area of research in ergodic theory. The first result in this line, going back to 1939, was due to Wiener [418].
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Klesov, O. (2014). Existence of Moments of Suprema of Multi-Indexed Sums and the Strong Law of Large Numbers. In: Limit Theorems for Multi-Indexed Sums of Random Variables. Probability Theory and Stochastic Modelling, vol 71. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-44388-0_12
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DOI: https://doi.org/10.1007/978-3-662-44388-0_12
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