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.
Crucial approximation properties of hitting times and a property resembling (but weaker than) the quasi-left-continuity are proved for general strong Markov processes.
@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}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {20}, number = {1}, year = {1970}, doi = {10.5802/aif.343}, mrnumber = {44 #6040}, zbl = {0193.46201}, language = {en}, url = {http://archive.numdam.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 - http://archive.numdam.org/articles/10.5802/aif.343/ DO - 10.5802/aif.343 LA - en ID - AIF_1970__20_1_303_0 ER -
Shih, C. T. On extending potential theory to all strong Markov processes. Annales de l'Institut Fourier, Tome 20 (1970) no. 1, pp. 303-315. doi : 10.5802/aif.343. http://archive.numdam.org/articles/10.5802/aif.343/
[1] Markov Processes and Potential Theory, Academic Press, New York and London, (1968). | MR | Zbl
and ,[2] Standard Processes and Hunt Processes, Proc. Symp. Markov Processes and Potential Theory, Madison, 13-22, Wiley, New York, (1967). | MR | Zbl
and ,[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. | MR | Zbl
,[5] Probability and Potentials, Ginn (Blaisdell), Waltham, Massachusetts, (1966). | MR | Zbl
,[6] Processus de Markov, Springer-Verlag, Berlin, (1967). | MR | Zbl
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