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A fine domination principle for excessive measures

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References

  • [AL74] Arsove, M., Leutwiler, H.: Quasi-bounded and singular functions. Trans. Am. Math. Soc.189, 275–302 (1974)

    Article  MATH  MathSciNet  Google Scholar 

  • [A72] Azéma, J.: Quelques applications de la théorie générale des processus, I. Invent. Math.18, 293–336 (1972)

    Article  MATH  MathSciNet  Google Scholar 

  • [AJ76] Azéma, J., Jeulin, T.: Précisions sur la mesure de Föllmer. Ann. Inst. Henri Poincaré, sect. B,12, no 3, 257–283 (1976)

    Google Scholar 

  • [BG68] Blumenthal, R.M., Getoor, R.K.: Markov Processes and Potential Theory. New York: Academic Press 1968

    MATH  Google Scholar 

  • [BG70] Blumenthal, R.M., Getoor, R.K.: Dual processes and potential theory. Proc. 12th Bienn. Sem. Can. Math. Cong., 137–156. Can. Math. Soc., 1970

  • [CW69] Chung, K.L., Walsh, J.B.: To reverse a Markov process. Acta Math.123, 225–251 (1969)

    Article  MATH  MathSciNet  Google Scholar 

  • [DM75] Dellacherie, C., Meyer, P.-A.: Probabilités et Potentiel I. Chapitres I à IV, Paris: Hermann 1975

    Google Scholar 

  • [Do84] Doob, J.L.: Classical Potential Theory and Its Probabilistic Counterpart, Springer Berlin Heidelberg New York 1984

    MATH  Google Scholar 

  • [Dy80] Dynkin, E.B.: Minimal excessive measures and functions. Trans. Am. Math. Soc.258, (217–244) 1980

    Article  MATH  MathSciNet  Google Scholar 

  • [F87] Fitzsimmons, P.J.: Homogeneous random measures and a weak order for the excessive measures of a Markov process. Trans. Am. Math. Soc.303, 431–478 (1987)

    Article  MATH  MathSciNet  Google Scholar 

  • [F88] Fitzsimmons, P.J.: Penetration times and Skorohod stopping. Sém. de Probabilités XXII (Lect. Notes Math. Vol.1321 pp. 166–174) Springer Berlin Heidelberg New York 1988

    Google Scholar 

  • [F89] Fitzsimmons, P.J.: On the equivalence of three potential principles for right Markov processes. Probab. Theory Relat. Fields84, 251–265 (1990)

    Article  MATH  MathSciNet  Google Scholar 

  • [FG89] Fitzsimmons, P.J., Getoor, R.K.: Some formular for the energy functional of a Markov process. In: Seminar on Stochastic Processes 1988, pp. 161–182, Boston, Birkhäuser 1989

    Google Scholar 

  • [GG84] Getoor, R.K., Glover, J.: Riesz decompositions in Markov process theory. Trans. Am. Math. Soc.285, 107–132 (1984)

    Article  MATH  MathSciNet  Google Scholar 

  • [GSh84] Getoor, R.K., Sharpe, M.J.: Naturality, standardness, and weak duality for Markov processes. Z. Wahrscheinlichkeitstheor. verw. Geb.67, 1–62 (1984)

    Article  MATH  MathSciNet  Google Scholar 

  • [GSt88] Getoor, R.K., Steffens, J.: More about capacity and excessive measures, In Seminar on Stochastic Processes 1987, pp. 135–157 Boston: Birkhäuser 1988

    Google Scholar 

  • [G90] Getoor, R.K.: Excessive Measures. Boston: Birkhäuser 1990

    MATH  Google Scholar 

  • Hunt, G.A.: Markoff processes and potentials I Ill. J. Math.1, 44–93 (1957)

    Google Scholar 

  • [J75] Janssen, K.: A co-fine domination principle for harmonic spaces. Math. Z.141, 185–191 (1975)

    Article  MATH  MathSciNet  Google Scholar 

  • [Me71] Meyer P.-A.: Le retournement du temps, d'après Chung et Walsh. Sém. de Probabilités V (Lect. Notes Math. Vol.191, pp. 211–236) Springer Berlin Heidelberg New York 1971

    Google Scholar 

  • [Mo72] Mokobodzki, G.: Pseudo-quotient de deux mesures par rapoort à un cône de potentiels. Applications à la dualité. Sém. de Probabilité VI (Lect. Notes Math. Vol.258, pp. 173–176) and Sém. de Probabilité VII (Lect. Notes Math. Vol.321, pp. 318–321) Springer Berlin Heidelberg New York 1972/1973

    Google Scholar 

  • [Sh88] Sharpe, M.J.: General Theory of Markov Processes. New York: Academic Press 1988

    MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, C-012, University of California, San Diego, 92093, La Jolla, CA, USA

    P. J. Fitzsimmons & R. K. Getoor

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  1. P. J. Fitzsimmons
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  2. R. K. Getoor
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The research of both authors was supported, in part, by NSF Grant DMS 87-21347

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Fitzsimmons, P.J., Getoor, R.K. A fine domination principle for excessive measures. Math Z 207, 137–151 (1991). https://doi.org/10.1007/BF02571381

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  • DOI: https://doi.org/10.1007/BF02571381

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