Geometric ergodicity for a class of Markov chains
Annales scientifiques de l'Université de Clermont. Mathématiques, Ecole d'été de calcul des probabilités de Saint-Flour (22 août au 8 septembre 1976), Tome 61 (1976) no. 14, pp. 145-154. 
@article{ASCFM_1976__61_14_145_0,
     author = {Nummelin, E. and Tweedie, R. L.},
     title = {Geometric ergodicity for a class of {Markov} chains},
     journal = {Annales scientifiques de l'Universit\'e de Clermont. Math\'ematiques},
     pages = {145--154},
     publisher = {UER de Sciences exactes et naturelles de l'Universit\'e de Clermont},
     volume = {61},
     number = {14},
     year = {1976},
     mrnumber = {467923},
     zbl = {0356.60009},
     language = {en},
     url = {http://www.numdam.org/item/ASCFM_1976__61_14_145_0/}
}
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Nummelin, E.; Tweedie, R. L. Geometric ergodicity for a class of Markov chains. Annales scientifiques de l'Université de Clermont. Mathématiques, Ecole d'été de calcul des probabilités de Saint-Flour (22 août au 8 septembre 1976), Tome 61 (1976) no. 14, pp. 145-154. http://www.numdam.org/item/ASCFM_1976__61_14_145_0/

[1] Chung. K.L.: Markov Chains with Stationary Transition Probabilities. (2nd Ed.) Springer-Verlag, Berlin, 1967. | MR | Zbl

[2] Kendall, D.G.: Unitary dilations of Markov transition operators and the corresponding integral representations for transition-probability matrices, pp. 139-161 in U. Grenander (Ed.), Probability and statistics. Stockholm: Almqvist and Wiksell, 1959. | MR | Zbl

[3] Miller, H.D.: Geometric ergodicity in a class of denumerable Markov chains. Z. Wahrscheinlichkeitstheorie verw. Geb. 4 (1965), 354-373. | MR | Zbl

[4] Nummelin, E.: A splitting technique for P-recurrent Markov chains, (submitted).

[5] Nummelin, E. and Tweedie, R.L.: Geometric ergodicity and R-positivity for general Markov chains. (submitted). | Zbl

[6] Pollard, D.B. and Tweedie, R.L.: R-theory for Markov chains on a topological state space II. Z. Wahrscheinlichkeitstheorie verw. Geb. 34 (1976), 269-278. | MR | Zbl

[7] Revuz, D.: Markov Chains. North-Holland, Amsterdam, 1975. | MR | Zbl

[8] Teugels, J.L.: An example of geometric ergodicity in a finite Markov chain. J. Appl. Prob. 9 (1972), 466-469. | MR | Zbl

[9] Tweedie, R.L.: R-theory for Markov chains on a general state space I: solidarity properties and R-recurrent chains. Ann. Probability 2 (1974), 840-864. | MR | Zbl

[10] Tweedie, R.L.: Criteria for classifying general Markov chains. Adv. Appl. Prob. 8 (1976) (to appear). | MR | Zbl

[11] Vere-Jones, D.: Geometric ergodicity in denumerable Markov chains. Quart . J. Math. (Oxford 2nd series) 13 (1962), 7-28. | MR | Zbl