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Feller, William

Boundaries induced by non-negative matrices. (English) Zbl 0071.34901

Trans. Am. Math. Soc. 83, 19-54 (1956).
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Cited in 33 Documents

Keywords:

probability theory
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[1] Garrett Birkhoff, Lattice theory, American Mathematical Society Colloquium Publications, Vol. XXV, American Mathematical Society, Providence, R.I., 1961. Revised ed. · JFM 66.0100.04
[2] N. Bourbaki, Éléments de mathématique. Première partie. Les structures fondamentales de l’analyse, Paris, Hermann, 1939-1955.
[3] Gustave Choquet, Theory of capacities, Ann. Inst. Fourier, Grenoble 5 (1953 – 1954), 131 – 295 (1955). · Zbl 0064.35101
[4] C. Derman, A solution to a set of fundamental equations in Markov chains, Proc. Amer. Math. Soc. 5 (1954), 332 – 334. · Zbl 0058.34504
[5] -, Some contributions to the theory of Markov chains, Thesis, and Technical Report No. 7, Columbia University, Department of Mathematical Statistics, 1955.
[6] William Feller, An Introduction to Probability Theory and Its Applications. Vol. I, John Wiley & Sons, Inc., New York, N.Y., 1950. · Zbl 0077.12201
[7] A. Kolmogoroff, Zur Theorie der Markoffschen Ketten, Math. Ann. 112 (1936), no. 1, 155 – 160 (German). · JFM 61.0563.03 · doi:10.1007/BF01565412
[8] Robert S. Martin, Minimal positive harmonic functions, Trans. Amer. Math. Soc. 49 (1941), 137 – 172. · Zbl 0025.33302
[9] B. H. Murdoch, Preharmonic functions, Princeton thesis, 1954. Added in proof. · Zbl 0052.33202
[10] David Blackwell, On transient Markov processes with a countable number of states and stationary transition probabilities, Ann. Math. Statist. 26 (1955), 654 – 658. · Zbl 0066.11303 · doi:10.1214/aoms/1177728425
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