Some applications of quasi-boundedness for excessive measures
Fitzsimmons, Patrick J. ; Getoor, Ronald K.
Séminaire de probabilités de Strasbourg, Tome 26 (1992), p. 485-497 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1992-01-01
@article{SPS_1992__26__485_0,
     author = {Fitzsimmons, Patrick J. and Getoor, Ronald K.},
     title = {Some applications of quasi-boundedness for excessive measures},
     journal = {S\'eminaire de probabilit\'es de Strasbourg},
     volume = {26},
     year = {1992},
     pages = {485-497},
     mrnumber = {1232011},
     zbl = {0768.60064},
     language = {en},
     url = {http://dml.mathdoc.fr/item/SPS_1992__26__485_0}
}

Fitzsimmons, Patrick J.; Getoor, Ronald K. Some applications of quasi-boundedness for excessive measures. Séminaire de probabilités de Strasbourg, Tome 26 (1992) pp. 485-497. http://gdmltest.u-ga.fr/item/SPS_1992__26__485_0/

[AF74] H. Airault, H. Föllmer: Relative densities of semimartingales. Inventiones Math. 27 (1974) 299-327. | MR 365724 | Zbl 0281.60053

[AL74] M. Arsove, H. Leutwiler: Quasi-bounded and singular functions. Trans. Am. Math. Soc. 189 (1974) 275-302. | MR 379872 | Zbl 0287.31008

[AL80] M. Arsove, H. Leutwiler: Algebraic potential theory. Memoirs of the A.M.S. 226, Providence, 1980. | MR 550855 | Zbl 0419.31009

[A72] J. Azéma: Théorie générale des processus et retournement du temps. Ann. Sci. École Norm. Sup. 6 (1973) 459-519. | Numdam | MR 365725 | Zbl 0303.60061

[AJ76] J. Azéma, Th. Jeulin: Précisions sur la mesure de Föllmer. Ann. Inst. Henri Poincaré 12 (1976) 257-283. | Numdam | MR 428425 | Zbl 0368.60060

[Do84] J.L. Doob: Classical Potential Theory and Its Probabilistic Counterpart. Springer, Berlin, 1984. | MR 731258 | Zbl 0549.31001

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

[Fi87] P.J. Fitzsimmons: Homogeneous random measures and a weak order for the excessive measures of a Markov process. Trans. Am. Math. Soc. 303 (1987) 431-478. | MR 902778 | Zbl 0651.60077

[FG91a] P.J. Fitzsimmons, R.K. Getoor: A fine domination principle for the excessive measures of a Markov process. Math. Zeit. 207 (1991) 137-151. | MR 1106819 | Zbl 0713.60078

[FG91b] P.J. Fitzsimmons, R.K. Getoor: Riesz decompositions and subtractivity for excessive measures. To appear in Potential Analysis. | MR 1245224 | Zbl 1081.60544

[FM86] P.J. Fitzsimmons, B. Maisonneuve: Excessive measures and Markov processes with random birth and death. Prob. Theory Rel. Fields 82 (1986) 319-336. | MR 843498 | Zbl 0584.60085

[Fo72] H. Föllmer: The exit measure of a supermartingale. Z. Warscheinlichkeitstheorie verw. Geb. 21 (1972) 154-166. | MR 309184 | Zbl 0231.60033

[G88] R.K. Getoor: Killing a Markov process under a stationary measure involves creation. Ann. Probab. 16 (1988) 564-585. | MR 929063 | Zbl 0651.60078

[G90] R.K. Getoor: Excessive Measures, Birkhäuser, Boston, 1990. | MR 1093669 | Zbl 0982.31500

[GG83] R.K. Getoor, J. Glover: Markov processes with identical excessive measures. Math. Z. 285 (1984) 107-132. | MR 748833

[GG84] R.K. Getoor, J. Glover: Riesz decompositions in Markov process theory. Trans. Amer. Math. Soc. 184 (1983) 287-300. | MR 716278

[Kr79] Ü. Kuran : A new criterion of Dirichlet regularity via the quasi-boundedness of the fundamental superharmonic function. J. London Math. Soc. (2) 19 (1979) 301-311. | MR 533330 | Zbl 0404.31003

[Kz74] S.E. Kuznetsov: Construction of Markov processes with random times of birth and death. Theory Probab. Appl. 18 (1974) 571-575. | Zbl 0296.60049

[P51] M. Parreau: Sur les moyennes des fonctions harmoniques et analytiques et la classification des surfaces de Riemann. Ann. Inst. Fourier Grenoble, 3 (1951) 103-197. | Numdam | MR 50023 | Zbl 0047.32004