Boundary theory for recurrent Markov chains
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- by John G. Kemeny and J. Laurie Snell PDF
- Trans. Amer. Math. Soc. 106 (1963), 495-520 Request permission
References
- J. L. Doob, Discrete potential theory and boundaries, J. Math. Mech. 8 (1959), 433–458; erratum 993. MR 0107098, DOI 10.1512/iumj.1959.8.58063
- William Feller, Boundaries induced by non-negative matrices, Trans. Amer. Math. Soc. 83 (1956), 19–54. MR 90927, DOI 10.1090/S0002-9947-1956-0090927-3
- G. A. Hunt, Markoff chains and Martin boundaries, Illinois J. Math. 4 (1960), 313–340. MR 123364
- John G. Kemeny and J. Laurie Snell, Potentials for denumerable Markov chains, J. Math. Anal. Appl. 3 (1961), 196–260. MR 140141, DOI 10.1016/0022-247X(61)90054-3
- John G. Kemeny and J. Laurie Snell, On Markov chain potentials, Ann. Math. Statist. 32 (1961), 709–715. MR 126882, DOI 10.1214/aoms/1177704966
- John G. Kemeny and J. Laurie Snell, Notes on discrete potential theory, J. Math. Anal. Appl. 3 (1961), 117–121. MR 140142, DOI 10.1016/0022-247X(61)90010-5
- John Lamperti, On null-recurrent Markov chains, Canadian J. Math. 12 (1960), 278–288. MR 115208, DOI 10.4153/CJM-1960-023-x
- Steven Orey, Sums arising in the thoery of Markov chains, Proc. Amer. Math. Soc. 12 (1961), 847–856. MR 139206, DOI 10.1090/S0002-9939-1961-0139206-3
- Frank Spitzer, Hitting probabilities, J. Math. Mech. 11 (1962), 593–614. MR 0139219
Additional Information
- © Copyright 1963 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 106 (1963), 495-520
- MSC: Primary 60.65
- DOI: https://doi.org/10.1090/S0002-9947-1963-0144380-5
- MathSciNet review: 0144380