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Ergodic potential of a Markov chain

Published online by Cambridge University Press:  01 July 2016

R. Syski
Affiliation:
University of Maryland

Abstract

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Type
I. Invited Review and Research Papers
Copyright
Copyright © Applied Probability Trust 1977 

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References

[1] Blumenthal, R. M. and Getoor, R. K. (1968) Markov Processes and Potential Theory. Academic Press, New York.Google Scholar
[2] Chung, K. L. (1967) Markov Chains. Springer-Verlag, New York.CrossRefGoogle Scholar
[3] Keilson, J. (1965) Green's Function Methods in Probability Theory. Griffin, London.Google Scholar
[4] Keilson, J. (1974) Markov chain models. Technical Report CSS 74–01, University of Rochester.Google Scholar
[5] Kemeny, J. G., Snell, J. L. and Knapp, A. W. (1966) Denumerable Markov Chains. Van Nostrand, Princeton, N.Y. Google Scholar
[6] Kingman, J. F. C. (1963) The exponential decay of Markov transition probabilities. Proc. London Math. Soc. (3) 13, 337358.CrossRefGoogle Scholar
[7] Meyer, P. A. (1965) Probability and Potentials. Blaisdell, London.Google Scholar
[8] Syski, R. (1973) Potential theory for Markov chains. In Probabilistic Methods in Applied Mathematics, ed. Bharucha-Reid, A. T. Academic Press, New York.Google Scholar
[9] Syski, R. (1973) Queues and potentials. Proc. TIMS, Jerusalem Academic Press, Jerusalem.Google Scholar
[10] Syski, R. (1975) Energy of Markov chains. Adv. Appl. Prob. 7, 254255.CrossRefGoogle Scholar
[11] Syski, R. (1977) Perturbation model. Stoch. Proc. Appl. To appear.Google Scholar

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