On extending potential theory to all strong Markov processes

C. T. Shih

Annales de l'institut Fourier (1970)

  • Volume: 20, Issue: 1, page 303-315
  • ISSN: 0373-0956

Abstract

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Crucial approximation properties of hitting times and a property resembling (but weaker than) the quasi-left-continuity are proved for general strong Markov processes.

How to cite

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Shih, C. T.. "On extending potential theory to all strong Markov processes." Annales de l'institut Fourier 20.1 (1970): 303-315. <http://eudml.org/doc/74004>.

@article{Shih1970,
abstract = {Crucial approximation properties of hitting times and a property resembling (but weaker than) the quasi-left-continuity are proved for general strong Markov processes.},
author = {Shih, C. T.},
journal = {Annales de l'institut Fourier},
keywords = {probability theory},
language = {eng},
number = {1},
pages = {303-315},
publisher = {Association des Annales de l'Institut Fourier},
title = {On extending potential theory to all strong Markov processes},
url = {http://eudml.org/doc/74004},
volume = {20},
year = {1970},
}

TY - JOUR
AU - Shih, C. T.
TI - On extending potential theory to all strong Markov processes
JO - Annales de l'institut Fourier
PY - 1970
PB - Association des Annales de l'Institut Fourier
VL - 20
IS - 1
SP - 303
EP - 315
AB - Crucial approximation properties of hitting times and a property resembling (but weaker than) the quasi-left-continuity are proved for general strong Markov processes.
LA - eng
KW - probability theory
UR - http://eudml.org/doc/74004
ER -

References

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  1. [1] R.M. BLUMENTHAL and R.K. GETOOR, Markov Processes and Potential Theory, Academic Press, New York and London, (1968). Zbl0169.49204MR41 #9348
  2. [2] R.M. BLUMENTHAL and R.K. GETOOR, Standard Processes and Hunt Processes, Proc. Symp. Markov Processes and Potential Theory, Madison, 13-22, Wiley, New York, (1967). Zbl0189.51603MR37 #5935
  3. [3] G.A. HUNT, Markoff Processes and Potentials, I, II and III, Illinois J. Math., 1 (1957), 44-93, 316-369, and 2 (1958), 151-213. Zbl0100.13804
  4. [4] F.B. KNIGHT, Note on Regularization of Markov Processes, Illinois J. Math., 9 (1965), 548-552. Zbl0143.20002MR31 #1713
  5. [5] P.A. MEYER, Probability and Potentials, Ginn (Blaisdell), Waltham, Massachusetts, (1966). Zbl0138.10401MR34 #5119
  6. [6] P.A. MEYER, Processus de Markov, Springer-Verlag, Berlin, (1967). Zbl0189.51403MR36 #2219

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