A contractive property in finite state Markov chains

 Access to full text

 Full (PDF)

1. F. L. Bauer E. Deutsch J. Stoer, Abschätzungen für die Eigenwerte positiver linearen Operatoren, Linear Algebra and Applications, 2 (1969), 275-331. (1969) MR0245587
2. G Birkhoff, Lattice Theory, 3rd ed.. Amer. Math. Soc. Colloq. Publ. Vol. XXV, Providence, R. I.(1967). (1967) Zbl0153.02501MR0227053
3. K. L. Chung, Markov chains with stationary transition probabilities, Springer-Verlag, Berlin-Göttingen-Heidelberg (1960). (1960) Zbl0092.34304MR0116388
4. R. L. Dobrushin, Central limit theorem for non-stationary Markov chains I, II, Theory Prob. Apl. 1 (1956), 63-80, 329-383 (EngHsh translation). (1956) Zbl0093.15001MR0086436
5. J. Hajnal, 10.1017/S0305004100033399, Proc. Camb. Phil. Soc. 54(1958), 233-246. (1958) Zbl0082.34501MR0096306DOI10.1017/S0305004100033399
6. S. Karlin, A first course in stochastic processes, Academic Press, New York and London (1968). (1968) Zbl0177.21102MR0208657
7. J. G. Kemeny J. L. Snell, Finite Markov chains, D. van Nostrand Соrр., New York (1960). (1960) MR0115196
8. D. G. Kendall, Unitary dilatations of Markov transition operators, and the corresponding integral representations for transition-probability matrices, In: Probability and Statistics, The Harald Cramer Volume, U. Grenander (ed.), Stockholm Almqvist and Wiksell (New York: John Wiley and Sons) (1959). (1959) MR0116389
9. D. G. Kendall, Geometric ergodicity and the theory of queues, In: Mathematical methods in the social sciences, K. J. Arrow, S. Karlin, P. Suppes (ed.), Stanford, California (1960). (1960) MR0124088
10. P. Kratochvíl, On convergence of homogeneous Markov chains, Apl. mat. 28 (1983), 2, 116-119. (1983) MR0695185
11. A. Paz, Introduction to Probabilistic Automata, Academic Press, New York (1971). (1971) Zbl0234.94055MR0289222
12. T. A. Сарымсаков, Основы теории процессов Наркова, Государственное издателство технико-теоретической литературы, Москва (1954). (1954) Zbl0995.90535
13. Т. А. Sarymsakov, On the theory of inhomogeneous Markov chains, (in Russian). Dokl, Akad. Nauk Uzbek. S.S.R. 8 (1956), 3-7. (1956) 
14. E. Seneta, 10.1017/S0305004100077276, Proc. Camb. Phil. Soc. 74 (1973), 507-513. (1973) Zbl0271.60074MR0331522DOI10.1017/S0305004100077276
15. E. Seneta, 10.1017/S000186780003281X, Adv. Appl. Prob. 11 (1979), 576-590. (1979) Zbl0406.60060MR0533060DOI10.1017/S000186780003281X
16. D. Vere-Jones, 10.1093/qmath/13.1.7, Quart. J. Math. Oxford (2), 13 (1962), 7-28. (1962) Zbl0104.11805MR0141160DOI10.1093/qmath/13.1.7

1. Antonín Lešanovský, Coefficients of ergodicity generated by non-symmetrical vector norms
2. Petr Veselý, Two contributions to the theory of coefficients of ergodicity