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Book Review
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Book Information
Author(s):
Michael Sharpe
Title:
General theory of Markov processes
Additional book information:
Academic Press, San Diego, 1988, xi + 419 pp., $49.50. ISBN 0-12-639060-6
References:
- Azéma (J. ) [1], Théorie générale des processus et retournement du temps, Ann. Sci. École. Norm. Sup. 6 (1973), 35-50. MR 365725
- Azéma (J. ) [2], Quelques applications de la théorie générale des processus, Invent. Math. 18 (1972), 293-336. MR 326848
- Blumenthal (R. M. ) [1], An extended Markov property, Trans. Amer. Math. Soc. 85 (1957), 52-72. MR 88102
- Chung (K. L. ) [1], Lectures on boundary theory for Markov chains, Ann. of Math. Studies, Princeton Univ. Press, Princeton, N. J., 1970. MR 267644
- Doob (J. L. ) [1], Conditional Brownian motion and the boundary limits of harmonic functions, Bull. Soc. Math. France 85 (1957), 431-458. MR 109961
- Doob (J. L. ) [2], Semimartingales and subharmonic functions, Trans. Amer. Math. Soc. 77 (1954), 86-121. MR 64347
- Dynkin (E. B. ) [1], Markov processes and related problems of analysis, London Math. Society Lecture Notes no. 54, 1982. MR 678918
- Dynkin (E. B. ) [2], Wanderings of a Markov process, Theory Probab. Appl. 16 (1971), 401-408. MR 293721
- Getoor (R. K. ) [1], Markov processes: Ray processes and right processes, Lecture Notes in Math., vol. 440, Springer-Verlag, Berlin and New York, 1975. MR 405598
- Hunt (G. A. ) [1], Markov processes and potentials. I, II, III, Illinois J. Math. 1 (1957), 44-93; 1 (1957), 313-369; 2 (1958), 151-213.
- Knight (F. B. ) [1], Note on regularization of Markov processes, Illinois J. Math. 9 (1965), 548-552. MR 177450
- Kuznetsov (S. E. ) [1], Construction of Markov processes with random times of birth and death, Theory Probab. Appl. 18 (1974), 571-574.
- Maisonneuve (B. ) [1], Exit systems, Ann. Probab. 3 (1978), 399-411. MR 400417
- Meyer (P. A. ) and Walsh (J. B. ) [1], Quelques applications des résolvantes de Ray, Invent. Math. 14 (1971), 143-166. MR 295436
- Mitro (J. ) [1], Dual Markov processes: construction of a useful auxiliary process, Z. Wahrsch. Verw. Gebiete 47 (1979), 139-156. MR 523166
- Ray (D. B. ) [1], Resolvents, transition functions and strongly Markovian processes, Ann. of Math. (2) 70 (1959), 43-72. MR 107302
- Revuz (D. ) [1], Mesures associées aux fonctionnelles additives de Markov. I, Trans. Amer. Math. Soc. 148 (1970), 501-531; II, Z. Wahrsch. Verw. Gebiete 16 (1970), 336-344. MR 279890
- Shih (C. T. ) [1], On extending potential theory to all strong Markov processes, Ann. Inst. Fourier (Grenoble) 20-1 (1970), 303-415. MR 288845
Additional Information:
Reviewer(s):
Paul André
Meyer
Review Information:
Journal:
Bull. Amer. Math. Soc.
21
(1989),
292-296.
DOI:
10.1090/S0273-0979-1989-15833-3
PII:
S 0273-0979(1989)15833-3
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