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Walsh, J. B.; Meyer, P. A.

Quelques applications des résolvantes de Ray. (Some applications of Ray resolvents). (French) Zbl 0224.60037

Invent. Math. 14, 143-166 (1971).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 2 Reviews
Cited in 20 Documents

MSC:

60J40 Right processes
60J35 Transition functions, generators and resolvents
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Full Text: DOI EuDML

References:

[1] Ray, D.: Resolvents, transition functions, and strongly markovian processes. Ann. Math.70, 43-75 (1959). · Zbl 0092.34501 · doi:10.2307/1969891
[2] Knight, F.: Note on regularisation of Markov processes. Ill. J. Math.9, 548-552 (1965). · Zbl 0143.20002
[3] Kunita, H., Watanabe, T.: Markov processes and Martin boundaries. Ill. J. Math.9, 485-526 (1965). · Zbl 0147.16505
[4] ??: Some theorems concerning resolvents over locally compact spaces. Proc. 5th Berkeley Symp.II, 131-164 (1967).
[5] Shih, C. T.: On extending potential theory to all strong Markov processes. Ann. Inst. Fourier20, 303-315 (1970). · Zbl 0193.46201
[6] Walsh, J. B.: Two footnotes to a theorem of Ray. Séminaire de Probabilités V, Université de Strasbourg, 1971, 283-289. Lecture Notes in Mathematics191, Berlin-Heidelberg-New York: Springer 1971.
[7] Chung, K. L.: On the boundary theory for Markov chains I, II. Acta Math.110, 19-77 (1963) et115, 111-163 (1966). · Zbl 0292.60121 · doi:10.1007/BF02391854
[8] Doob, J. L.: State spaces for Markov chains. Trans. Amer. Math. Soc.149, 111-121 (1970). · Zbl 0231.60048 · doi:10.1090/S0002-9947-1970-0258131-0
[9] ?: Compactification of the discrete state space of a Markov process. Z. Wahrscheinlichkeitstheorie verw. Geb.10, 236-251 (1968). · Zbl 0164.19202 · doi:10.1007/BF00536277
[10] Walsh, J. B.: The Martin boundary and completion of Markov chains. Z. Wahrscheinlichkeitstheorie verw. Geb.14, 169-188 (1970). · Zbl 0187.41303 · doi:10.1007/BF01111415
[11] Blumenthal, R. M., Getoor, R. K.: Markov processes and potential theory. New York: Academic Press 1968. · Zbl 0169.49204
[12] Meyer, P. A.: Probability et potentiels. Paris: Hermann et Boston: Blaisdell 1966.
[13] Dellacherie, C.: La théorie générale des processus (Erg. der Math., Berlin-Heidelberg-New York: Springer, à paraître).
[14] Meyer, P. A.: Guide détaillé de la théorie générale des processus. Séminaire de probabilités II, Université de Strasbourg, 1968. Lecture Notes in Mathematics51, Berlin-Heidelberg-New York: Springer.
[15] ?: Un résultat élémentaire sur les temps d’arrêt. Séminaire de probabilités III, 1969. Lecture Notes in Mathematics88. Berlin-Heidelberg-New York: Springer 1969.
[16] Dellacherie, C.: Ensembles aléatoires. Séminaire de Probabilités III, Université de Strasbourg, 1969. Lecture Notes in Mathematics88, Berlin-Heidelberg-New York: Springer 1969.
[17] Bourbaki, N.: Topologie Générale, chap. IX (utilisation des nombres réels en topologie générale). Paris: Hermann 1958, (Act. Sci. Ind. 1045).
[18] Meyer, P. A.: Compactifications associées à une résolvante. Séminaire de Probabilités II, Université de Strasbourg, 1968. Lecture Notes in Mathematics51, Berlin-Heidelberg-New York: Springer 1968.
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