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Wiener’s test and Markov chains. (English) Zbl 0238.60044


MSC:

60J10 Markov chains (discrete-time Markov processes on discrete state spaces)
60F20 Zero-one laws
60J45 Probabilistic potential theory
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References:

[1] Ito, K.; McKean, H. P., Potentials and the random walk, Illinois J. Math., 4, 119-132 (1960) · Zbl 0238.60047
[2] Chung, K. L.; Erdös, P., On the applicability of the Borel-Cantelli lemma, Trans. Am. Math. Soc., 72, 179-186 (1952) · Zbl 0046.35203
[3] Erdös, P.; Renyi, A., On Cantor’s series with convergent \(∑ 1q\), Ann. Univ. Sci. Budapest, 2, 93-109 (1959) · Zbl 0095.26501
[4] Kochen, S. B., and Stone, C.; Kochen, S. B., and Stone, C.
[5] Hunt, G. A., Markov processes and potentials III, Illinois J. Math., 2, 151-213 (1958) · Zbl 0100.13804
[6] Doob, J. L., Discrete potential theory and boundaries, J. Math. and Mech., 8, 433-458 (1959) · Zbl 0101.11503
[7] Hewitt, E.; Savage, L. J., Symmetric measures on Cartesian products, Trans. Am. Math. Soc., 80, 470-501 (1955) · Zbl 0066.29604
[8] Erdös, P.; Taylor, S. J., Some intersection properties of random walk paths, Acta Math. (Budapest), 11, 231-248 (1960) · Zbl 0096.33302
[9] Doob, J. L., Semimartingales and subharmonic functions, Trans. Am. Math. Soc., 77, 86-121 (1954) · Zbl 0059.12205
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