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The mixing properties of certain processes related to Markov chains. (English) Zbl 0256.60054


MSC:

60J99 Markov processes
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[1] J. Blum andD. Hanson, On a problem in Hilbert space with applications,J. Math. Mech. 11 (1962), 497–501. · Zbl 0107.34702
[2] S. Dharmadhikari, Functions of finite Markov chains,Ann. Math. Statist. 34 (1963), 1022–1032. · Zbl 0117.13703 · doi:10.1214/aoms/1177704025
[3] A. Heller, On stochastic processes derived from Markov chains,Ann. Math. Statist. 36 (1965), 1286–1291. · Zbl 0139.34603 · doi:10.1214/aoms/1177700000
[4] A. Heller, Probabilistic automata and stochastic transformations,Math. Systems Theory 1 (1967), 197–208. · Zbl 0189.01401 · doi:10.1007/BF01703818
[5] V. Rohlin, On the fundamental ideas of measure theory,Mat. Sborn. (N.S.)25 (1949), 107–150. (Amer. Math. Soc. Transl. 10 (1952), 1–54.)
[6] V. Rohlin andJa. Sinai, Construction and properties of invariant measurable partitions,Dokl. Akad. Nauk. SSSR 141 (1961), 1038–1041. (Soviet Math. Dokl. 2 (1961), 1611–1614.)
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