A note on the ergodic theorem

Blum, J. R.; Hanson, D. L.

doi:10.1090/S0002-9939-1965-0209437-6

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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A note on the ergodic theorem
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by J. R. Blum and D. L. Hanson

Proc. Amer. Math. Soc. 16 (1965), 413-414

DOI: https://doi.org/10.1090/S0002-9939-1965-0209437-6

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References

H. D. Brunk, On the application of the individual ergodic theorem to discrete stochastic processes, Trans. Amer. Math. Soc. 78 (1955), 482–491. MR 67398, DOI 10.1090/S0002-9947-1955-0067398-5
Yael Naim Dowker, Invariant measure and the ergodic theorems, Duke Math. J. 14 (1947), 1051–1061. MR 23459
Paul R. Halmos, Measure Theory, D. Van Nostrand Co., Inc., New York, N. Y., 1950. MR 0033869
G. H. Hardy, Divergent Series, Oxford, at the Clarendon Press, 1949. MR 0030620