Keywords
- Invariant Measure
- Radon Measure
- Borel Measurable Function
- Markov Kernel
- Strong Fell
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References
J. Azèma, M. Duflo et D. Revuz: Classes récurrentes d'un processus de Markov, Séminaire de Probabilités II, Springer Verlag, 1968 (Lecture Notes in Math., vol. 51).
R. M. Blumenthal and R. K. Getoor: Markov processes and Potential theory, Academic Press, 1968.
M. Duflo: Opérateurs potentiels des chaines et des processus de Markov irréductibles, Bull. Soc. Math. France, 98 (1970), 127–163.
R. Kondō: A construction of recurrent Markov chains, Osaka J. Math. 6 (1969), 13–28.
R. Kondō, Y. Ōshima and T. Watanabe: Topics in Markov chains II (in Japanese), Seminar on Probability, vol. 32, 1970.
P. A. Meyer: Caractérisation des noyaux potentiels des semi-groupes discrets, Ann. Inst. Fourier, Grenoble 162 (1966), 225–240.
P. A. Meyer: Les résolvantes fortement felleriennes, d'après MOKOBODZKY, Séminaire de Probabilités II, Springer Verlag, 1968 (Lecture Notes in Math., 51).
P. A. Meyer: Solutions de l'equation de Poisson dans le cas récurrent, Seminaire de Probabilités V, Springer Verlag, 1971 (Lecture Notes in Math., 191).
J. Neveu: Potentiel Markovien récurrent des chaines de Harris, Ann. Inst. Fourier, Grenoble 22, 2 (1972), 85–130.
S. Orey: Potential kernels for recurrent Markov chains, J. Math. Anal. and Appl. 8 (1964), 104–132.
Y. Ōshima: A necessary and sufficient condition for a kernel to be a weak potential kernel of recurrent Markov chain, Osaka J. Math. 6 (1969), 29–37.
D. Revuz: Sur la théorie du potentiel pour les processus de Markov récurrents, to appear.
T. Ueno: Some limit theorems for temporally discrete Markov processes, J. Fac. Sci. Univ. Tokyo ser. I. 7 (1957), 449–462.
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Kondō, R., Ōshima, Y. (1973). A characterization of potential kernels for recurrent Markov chains with strong Feller transition function. In: Maruyama, G., Prokhorov, Y.V. (eds) Proceedings of the Second Japan-USSR Symposium on Probability Theory. Lecture Notes in Mathematics, vol 330. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061489
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DOI: https://doi.org/10.1007/BFb0061489
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