@article{AIHPB_1976__12_2_181_0, author = {Lin, Michael}, title = {Strong ratio limit theorems for mixing Markov operators}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, volume = {12}, year = {1976}, pages = {181-191}, mrnumber = {422577}, zbl = {0348.60098}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPB_1976__12_2_181_0} }
Lin, Michael. Strong ratio limit theorems for mixing Markov operators. Annales de l'I.H.P. Probabilités et statistiques, Tome 12 (1976) pp. 181-191. http://gdmltest.u-ga.fr/item/AIHPB_1976__12_2_181_0/
[1] The ergodic theory of Markov processes. Van Nostrand Mathematical Studies 21. New York, Van Nostrand Reinhold, 1969. | MR 261686 | Zbl 0282.60037
,[2] On iterates of convolutions. Proc. Amer. Math. Soc., t. 47, 1975, p. 368- 370. | MR 374816 | Zbl 0299.43004
,[3] Some ratio limit theorems for Markov operators. Z. Wahrscheinlichkeitstheorie Verw. Geb., t. 23, 1972, p. 55-66. | MR 310974 | Zbl 0223.60027
and ,[4] Transition probabilities and contractions of L∞. Z. Wahrscheinlichkeitstheorie Verw. Geb., t. 24, 1972, p. 263-274. | MR 331516 | Zbl 0228.60028
,[5] On σ-finite invariant measures for Markov processes. Israel J. Math., t. 6, 1968, p. 338-345. | MR 243610 | Zbl 0176.47804
,[6] The strong ratio limit property for some general Markov processes. Ann. Math. Stat., t. 40, 1969, p. 986-992. | MR 245086 | Zbl 0194.49601
,[7] Markov chains recurrent in the sense of Harris. Z. Wahrscheinlichkeitstheorie Verw. Geb., t. 8, 1967, p. 41-48. | MR 215370 | Zbl 0153.19802
and ,[8] On mixing in infinite measure spaces. Z. Wahrscheinlichkeitstheorie Verw. Geb., t. 13, 1969, p. 150-164. | MR 254215 | Zbl 0176.33804
and ,[9] Some ratio limit theorems for a general space state Markov process. Z. Wahrscheinlichkeitstheorie Verw. Geb., t. 15, 1970, p. 29-50. | MR 281257 | Zbl 0192.55202
,[10] Limit theorems for reversible Markov processes. Ann. Prob., t. 1, 1973, p. 1014-1025. | MR 353452 | Zbl 0271.60068
and ,[11] Strong ratio limit theorems for Markov Processes. Ann. Math. Stat., t. 43, 1972, p. 569-579. | MR 315787 | Zbl 0243.60039
,[12] Convergence of the iterates of a Markov operator. Z. Wahrscheinlichkeitstheorie Verw. Geb., t. 29, 1974, p. 153-163. | MR 365714 | Zbl 0269.60057
,[13] An operator theorem on L1 convergence to zero with applications to Markov kernels. Ann. Math. Stat., t. 41, 1970, p. 1631-1639. | MR 272057 | Zbl 0284.60068
and ,[14] Strong ratio limit property for R-recurrent Markov chains. Proc. Amer. Math. Soc., t. 16, 1965, p. 196-200. | MR 174089 | Zbl 0131.16603
,[15] Ratio limit theorems for random walks on groups. Trans. Amer. Math. Soc., t. 125, 1966, p. 86-100. | MR 217887 | Zbl 0168.38501
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