Recurrent points and transition functions acting on continuous functions

Springer Science and Business Media LLC - Tập 30 - Trang 173-183 - 1974
Murray Rosenblatt1
1Department of Mathematics, University of California, La Jolla, USA

Tài liệu tham khảo

Foguel, S.R.: The ergodic theory of Markov processes. New York: Van Nostrand 1969 Foguel, S.R.: The ergodic theory of positive operators on continuous functions, Ann. Scuola Norm. Sup. Pisa, 27, 19–51(1973) Harris, T.E.: The existence of stationary measures for certain Markov processes. Proc. 3rd Berkeley Symposium on Probability and Statistics, 1956, 113–124 Jacobs, K.: On Poincaré's recurrence theorem. Proc. 5th Berkeley Symposium on Probability and Statistics, Vol. II, Part 2, 1967, 375–404 Jamison, B.: Irreducible Markov operators on C(S). Proc. Amer. Math. Soc. 24, 366–370 (1970) Kac, M.: On the notion of recurrence in discrete stochastic processes. Bull. Amer. Math. Soc. 53, 1002–1010 (1947) Rosenblatt, M.: Invariant and subinvariant measures of transition probability functions acting on continuous functions. Z. Wahrscheinlichkeitstheorie verw. Geb. 25, 209–221 (1973) Rosenblatt, M.: Markov processes: structure and asymptotic behavior. Berlin-Heidelberg-New York: Springer 1971