×

On the boundary theory for Markov chains. (English) Zbl 0292.60121


MSC:

60J50 Boundary theory for Markov processes
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Chung, K. L., Markov Chains with Stationary Transition Probabilities (1960), Berlin Göttingen, Heidelberg: Springer, Berlin Göttingen, Heidelberg · Zbl 0092.34304
[2] Chung, K. L., On last exit times, Illinois J. Math., 4, 629-39 (1960) · Zbl 0094.32102
[3] Chung, K. L., Probabilistic Methods in Markov Chains, 35-56 (1961), Berkeley and Los Angeles: University of California Press, Berkeley and Los Angeles · Zbl 0106.33303
[4] Chung, K. L., On the Martin boundary for Markov chains, Proc. Nat. Acad. Sci., 48, 963-968 (1962) · Zbl 0228.60030
[5] Doob, J. L., Discrete potential theory and boundaries, J. Math. Mech., 8, 433-458 (1959) · Zbl 0101.11503
[6] Feller, W., Boundaries induced by positive matrices, Trans. Amer. Math. Soc., 83, 19-54 (1956) · Zbl 0071.34901 · doi:10.2307/1992904
[7] Feller, W., On boundaries and lateral conditions for the Kolmogorov differential equations, Ann. of Math., 65, 527-570 (1957) · Zbl 0084.35503 · doi:10.2307/1970064
[8] Hunt, G. A., Markoff chains and Martin boundaries, Illinois J. Math., 4, 313-340 (1960) · Zbl 0094.32103
[9] Lévy, P., Systèmes markoviens et stationnaires; cas dénombrable, Ann. École Norm., 68, 3, 327-381 (1951) · Zbl 0044.33803
[10] Neveu, J., Une généralisation des processus à accroisements croissants indépendants, Abh. Math. Mem. Univ. Hamburg, 25, 36-61 (1961) · Zbl 0103.36303
[11] Neveu, J., Lattice methods and submarkovian processes, 347-391 (1961), Berkeley and Los Angeles: University of California Press, Berkeley and Los Angeles · Zbl 0168.38801
[12] Reuter, G. E. H., Denumerable Markov processes and the associated contraction semiproups onl, Acta Math., 97, 1-46 (1957) · Zbl 0079.34703
[13] Reuter, G. E. H., Denumerable Markov processes (II), J. London Math. Soc., 34, 81-91 (1959) · Zbl 0089.13803
[14] Reuter, G. E. H., Denumerable Markov processes (III), J. London Math. Soc., 37, 63-73 (1962) · Zbl 0114.33604
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.