Some applications of quasi-boundedness for excessive measures

Patrick J. Fitzsimmons; Ronald K. Getoor

Séminaire de probabilités de Strasbourg (1992)

  • Volume: 26, page 485-497

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Fitzsimmons, Patrick J., and Getoor, Ronald K.. "Some applications of quasi-boundedness for excessive measures." Séminaire de probabilités de Strasbourg 26 (1992): 485-497. <http://eudml.org/doc/113816>.

@article{Fitzsimmons1992,
author = {Fitzsimmons, Patrick J., Getoor, Ronald K.},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {excessive measures; right Markov process; Kuznetsov measure; Riesz decomposition; Fatou-type boundary limit theorem; regularity of a point},
language = {eng},
pages = {485-497},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Some applications of quasi-boundedness for excessive measures},
url = {http://eudml.org/doc/113816},
volume = {26},
year = {1992},
}

TY - JOUR
AU - Fitzsimmons, Patrick J.
AU - Getoor, Ronald K.
TI - Some applications of quasi-boundedness for excessive measures
JO - Séminaire de probabilités de Strasbourg
PY - 1992
PB - Springer - Lecture Notes in Mathematics
VL - 26
SP - 485
EP - 497
LA - eng
KW - excessive measures; right Markov process; Kuznetsov measure; Riesz decomposition; Fatou-type boundary limit theorem; regularity of a point
UR - http://eudml.org/doc/113816
ER -

References

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  3. [AL80] M. Arsove, H. Leutwiler: Algebraic potential theory. Memoirs of the A.M.S.226, Providence, 1980. Zbl0419.31009MR550855
  4. [A72] J. Azéma: Théorie générale des processus et retournement du temps. Ann. Sci. École Norm. Sup.6 (1973) 459-519. Zbl0303.60061MR365725
  5. [AJ76] J. Azéma, Th. Jeulin: Précisions sur la mesure de Föllmer. Ann. Inst. Henri Poincaré12 (1976) 257-283. Zbl0368.60060MR428425
  6. [Do84] J.L. Doob: Classical Potential Theory and Its Probabilistic Counterpart. Springer, Berlin, 1984. Zbl0549.31001MR731258
  7. [Dy80] E.B. Dynkin: Minimal excessive measures and functions. Trans. Amer. Math. Soc.258 (1980) 217-244. Zbl0422.60057MR554330
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  9. [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. Zbl0713.60078MR1106819
  10. [FG91b] P.J. Fitzsimmons, R.K. Getoor: Riesz decompositions and subtractivity for excessive measures. To appear in Potential Analysis. Zbl1081.60544MR1245224
  11. [FM86] P.J. Fitzsimmons, B. Maisonneuve: Excessive measures and Markov processes with random birth and death. Prob. Theory Rel. Fields82 (1986) 319-336. Zbl0584.60085MR843498
  12. [Fo72] H. Föllmer: The exit measure of a supermartingale. Z. Warscheinlichkeitstheorie verw. Geb.21 (1972) 154-166. Zbl0231.60033MR309184
  13. [G88] R.K. Getoor: Killing a Markov process under a stationary measure involves creation. Ann. Probab.16 (1988) 564-585. Zbl0651.60078MR929063
  14. [G90] R.K. Getoor: Excessive Measures, Birkhäuser, Boston, 1990. Zbl0982.31500MR1093669
  15. [GG83] R.K. Getoor, J. Glover: Markov processes with identical excessive measures. Math. Z.285 (1984) 107-132. MR748833
  16. [GG84] R.K. Getoor, J. Glover: Riesz decompositions in Markov process theory. Trans. Amer. Math. Soc.184 (1983) 287-300. MR716278
  17. [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. Zbl0404.31003MR533330
  18. [Kz74] S.E. Kuznetsov: Construction of Markov processes with random times of birth and death. Theory Probab. Appl.18 (1974) 571-575. Zbl0296.60049
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