Riesz representation and duality of Markov processes

Ming Liao

Séminaire de probabilités de Strasbourg (1985)

  • Volume: 19, page 366-396

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Liao, Ming. "Riesz representation and duality of Markov processes." Séminaire de probabilités de Strasbourg 19 (1985): 366-396. <http://eudml.org/doc/113533>.

@article{Liao1985,
author = {Liao, Ming},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {Hunt process; reference measure; potential density; Riesz representation; Radon measure; exceptional set; duality assumptions},
language = {eng},
pages = {366-396},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Riesz representation and duality of Markov processes},
url = {http://eudml.org/doc/113533},
volume = {19},
year = {1985},
}

TY - JOUR
AU - Liao, Ming
TI - Riesz representation and duality of Markov processes
JO - Séminaire de probabilités de Strasbourg
PY - 1985
PB - Springer - Lecture Notes in Mathematics
VL - 19
SP - 366
EP - 396
LA - eng
KW - Hunt process; reference measure; potential density; Riesz representation; Radon measure; exceptional set; duality assumptions
UR - http://eudml.org/doc/113533
ER -

References

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  1. [1]. R.M. Blumenthal and R.K. Getoor, "Markov Processes and Potential Theory", Academic Press, New York1968. Zbl0169.49204MR264757
  2. [2]. K.L. Chung and K.M. Rao, "A New Setting for Potential Theory", Ann. Inst. Fourier30 (1980). Zbl0424.31004MR597022
  3. [3]. K.L. Chung and K.M. Rao, "On Existence of A Dual Process", Aarhus University, Preprint Series 1977/78 No. 25. Zbl0392.60052
  4. [4]. K.L. Chung and K.M. Rao, "Representation as Potentials of Measures", Aarhus University, Preprint Series 1979/80 No. 28. Zbl0461.60086
  5. [5]. K.L. Chung, "Lectures from Markov Processes to Brownian Motion", Springer-Verlag, Berlin1982. Zbl0503.60073MR648601
  6. [6]. K.L. Chung, "Markov Chains with Stationary Transition Probabilities", Second Edition, Springer-Verlag, Berlin1967. Zbl0146.38401MR217872
  7. [7]. K.L. Chung, Ming Liao and K.M. Rao, "Duality under a New Setting", to appear in Seminar on Stochastic Processes, 1983 (E. Cinlar, K.L. Chung, R.K. Getoor, editors). Zbl0558.60056MR902410
  8. [8]. C. Dellacheric, "Capacitès et Processus Stochastiques", Springer-Verlag, 1972. Zbl0246.60032MR448504
  9. [9]. R.K. Getoor and J. Glover, "Riesz Representations in Markov Process Theory", to appear in AMS. Transactions, 1984. Zbl0547.60076MR716278
  10. [10]. N.S. Landkof, "Foundation of Modern Potential Theory", Springer-Verlag1972. Zbl0253.31001MR350027
  11. [11]. Ming Liao, "Riesz Representation and Duality of Markov Processes", Ph.D. Dissertation, Department of Mathematics, Stanford University, 1984. 

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