More on existence and uniqueness of decomposition of excessive functions and measures into extremes
Kuznetsov, Sergei E.
Séminaire de probabilités de Strasbourg, Tome 26 (1992), p. 445-472 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU) 
@article{SPS_1992__26__445_0,
     author = {Kuznetsov, Sergei E.},
     title = {More on existence and uniqueness of decomposition of excessive functions and measures into extremes},
     journal = {S\'eminaire de probabilit\'es de Strasbourg},
     volume = {26},
     year = {1992},
     pages = {445-472},
     mrnumber = {1232009},
     zbl = {0768.60065},
     language = {en},
     url = {http://dml.mathdoc.fr/item/SPS_1992__26__445_0}
}

Kuznetsov, Sergei E. More on existence and uniqueness of decomposition of excessive functions and measures into extremes. Séminaire de probabilités de Strasbourg, Tome 26 (1992) pp. 445-472. http://gdmltest.u-ga.fr/item/SPS_1992__26__445_0/

[BG68] R.G. Blumenthal and R.K. Getoor, Markov Processes and Potential Theory,Academic Press, New York, 1968. | MR 264757 | Zbl 0169.49204

[DM75] C. Dellacherie and P.-A. Meyer, Probabilités et Potentiel, (2ième édition); Chapitres I - IV, 1975; Chapitres V - VIII, 1980, Chapitres IX - XI, 1983; Chapitres XII - XVI, 1987, Hermann, Paris. | MR 488194

[Do59] J.L. Doob. Discrete potential theory and boundaries. J.Math.and Mech., 8(1959), 433 - 458. | MR 107098 | Zbl 0101.11503

[Dy69a] E.B. Dynkin, Boundary theory of Markov processes (The discrete case). Uspechi matematicheskih nauk, 24:2 (1969). English translation: Russ. Math. Surv. 24:2 (1969). | MR 245096 | Zbl 0222.60048

[Dy69b] E.B. Dynkin, Exit space of a Markov process. Uspechi matematicheskih nauk, 24:4 (1969), 89 - 152. English translation: Russ. Math. Surv. 24:4 (1969), 89 - 157. | MR 264768 | Zbl 0201.19801

[Dy71] E.B. Dynkin, Initial and final behavior of Markov process trajectories. Uspechi matematicheskih nauk, 26:4 (1971), 153 - 172. English translation: Russ. Math. Surv. 26:4 (1971), 165 - 185. | MR 298758 | Zbl 0281.60087

[Dy72] E.B. Dynkin, Integral representation of excessive measures and excessive functions. Uspechi matematicheskih nauk, 27:1 (1972), 43 - 80. English translation: Russ. Math. Surv. 27:1 (1972), 43 - 84. | MR 405602 | Zbl 0321.60002

[Dy78] E.B. Dynkin. Sufficient Statistics and Extreme Points. Ann.Prob. 6(1977), 705 - 730. | MR 518321 | Zbl 0403.62009

[Dy80] E.B. Dynkin, Minimal excessive measures and functions. Trans. Amer. Math. Soc. 258 (1980), 217 - 244. | MR 554330 | Zbl 0422.60057

[Ge75] R.K. Getoor, Markov processes: Ray processes and right processes. Lecture Notes in Mathematics, 440, Springer, Berlin Heidelberg New York1975. | MR 405598 | Zbl 0299.60051

[Ge89] R.K. Getoor, Excessive measures. Preprint, 1989. | MR 1093669

[KW63] H. Kunita, T. Watanabe. Markov Processes and Martin boundaries. Bull. Amer. Math. Soc. 69(1963), 386 - 391. | MR 148113 | Zbl 0114.33603

[Kuz73] S.E. Kuznetsov. Construction of Markov process with random birth and death times. Teoria Veroiatnost. I Primenen. 18(1973), 596 - 601. Englishtranslation: Theor.Probability Appl. 18(1974).

[Kuz74] S.E. Kuznetsov. On decomposition of excessive functions. Doklady AN SSSR, 214 (1974), 276 - 278. English translation: Soviet Math. Dokl. 15 (1974). | MR 339342 | Zbl 0326.60089

[Kuz82] S.E. Kuznetsov. Nonhomogeneous Markov processes. Itogi Nauki Tekniki, Seriya Sovremennye Problemy Matematiki 20 (1982), 37-172. English translation: J.Soviet Math. 25 (1984), 1380 - 1498. | MR 716331 | Zbl 0536.60076

[Kuz91] S.E. Kuznetsov. On existence of dual semigroups. This volume.

[Ma41] R.S. Martin, Minimal Positive Harmonic Functions. Trans. Amer. Math. Soc. 49 (1941), 137 - 172. | JFM 67.0343.03 | MR 3919 | Zbl 0025.33302

[Sha88] M. Sharpe. General Theory of Markov Processes. Academic Press, New York etc. 1988. | MR 958914 | Zbl 0649.60079