Crucial approximation properties of hitting times and a property resembling (but weaker than) the quasi-left-continuity are proved for general strong Markov processes.
Des propriétés fondamentales d’approximation du temps d’entrée et une proposition analogue (en plus faible) à la quasi continuité à gauche sont démontrées pour les processus généraux fortement markoviens.
Shih, C. T. On extending potential theory to all strong Markov processes. Annales de l'Institut Fourier, Volume 20 (1970) no. 1, pp. 303-315. doi: 10.5802/aif.343
@article{AIF_1970__20_1_303_0,
author = {Shih, C. T.},
title = {On extending potential theory to all strong {Markov} processes},
journal = {Annales de l'Institut Fourier},
pages = {303--315},
year = {1970},
publisher = {Institut Fourier},
address = {Grenoble},
volume = {20},
number = {1},
doi = {10.5802/aif.343},
zbl = {0193.46201},
mrnumber = {44 #6040},
language = {en},
url = {https://aif.centre-mersenne.org/articles/10.5802/aif.343/}
}
TY - JOUR AU - Shih, C. T. TI - On extending potential theory to all strong Markov processes JO - Annales de l'Institut Fourier PY - 1970 SP - 303 EP - 315 VL - 20 IS - 1 PB - Institut Fourier PP - Grenoble UR - https://aif.centre-mersenne.org/articles/10.5802/aif.343/ DO - 10.5802/aif.343 LA - en ID - AIF_1970__20_1_303_0 ER -
%0 Journal Article %A Shih, C. T. %T On extending potential theory to all strong Markov processes %J Annales de l'Institut Fourier %D 1970 %P 303-315 %V 20 %N 1 %I Institut Fourier %C Grenoble %U https://aif.centre-mersenne.org/articles/10.5802/aif.343/ %R 10.5802/aif.343 %G en %F AIF_1970__20_1_303_0
[1] and , Markov Processes and Potential Theory, Academic Press, New York and London, (1968). | Zbl | MR
[2] and , Standard Processes and Hunt Processes, Proc. Symp. Markov Processes and Potential Theory, Madison, 13-22, Wiley, New York, (1967). | Zbl | MR
[3] , Markoff Processes and Potentials, I, II and III, Illinois J. Math., 1 (1957), 44-93, 316-369, and 2 (1958), 151-213. | Zbl
[4] , Note on Regularization of Markov Processes, Illinois J. Math., 9 (1965), 548-552. | Zbl | MR
[5] , Probability and Potentials, Ginn (Blaisdell), Waltham, Massachusetts, (1966). | Zbl | MR
[6] , Processus de Markov, Springer-Verlag, Berlin, (1967). | Zbl | MR
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