Axiomatique du problème de Dirichlet et processus de Markov

Philippe Courrège; Pierre Priouret

Séminaire Brelot-Choquet-Deny. Théorie du potentiel (1963-1964)

  • Volume: 8, page 1-48

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Courrège, Philippe, and Priouret, Pierre. "Axiomatique du problème de Dirichlet et processus de Markov." Séminaire Brelot-Choquet-Deny. Théorie du potentiel 8 (1963-1964): 1-48. <http://eudml.org/doc/109327>.

@article{Courrège1963-1964,
author = {Courrège, Philippe, Priouret, Pierre},
journal = {Séminaire Brelot-Choquet-Deny. Théorie du potentiel},
keywords = {partial differential equations},
language = {fre},
pages = {1-48},
publisher = {Secrétariat mathématique},
title = {Axiomatique du problème de Dirichlet et processus de Markov},
url = {http://eudml.org/doc/109327},
volume = {8},
year = {1963-1964},
}

TY - JOUR
AU - Courrège, Philippe
AU - Priouret, Pierre
TI - Axiomatique du problème de Dirichlet et processus de Markov
JO - Séminaire Brelot-Choquet-Deny. Théorie du potentiel
PY - 1963-1964
PB - Secrétariat mathématique
VL - 8
SP - 1
EP - 48
LA - fre
KW - partial differential equations
UR - http://eudml.org/doc/109327
ER -

References

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  1. [1] Bauer ( Heinz). - Axiomatische Behandlung des Dirichletschen Problem für elliptische und parabolische Differentialgleichungen, Math. Annalen, t. 146, 1962, p. 1-59. Zbl0107.08003MR144064
  2. [2] Brelot ( Marcel). - Lectures on potential theory. - Bombay, Tata Institute, 1960 (Tata Institute of fundamental Research, Lectures on Mathematics, 19). Zbl0098.06903MR118980
  3. [3] Blumenthal ( R.M.), Getoor ( R.K.) and McKean ( H. P., Jr). - Markov processes with identical hitting distributions, Bull. Amer. math. Soc., t. 68, 1962, p. 372-373. Zbl0108.30801MR148110
  4. [4] Courrège ( Philippe). - Décomposition des martingales de carré intégrable, Séminaire Brelot-Choquet-Deny : Théorie du potentiel, t. 7, 1962/63, n° 6, 14 p. Zbl0138.11101MR177439
  5. [5] Courrege ( Philippe). - Théorie des processus de Markov. Cours multigraphié, 1964. 
  6. [6] Courrège ( P.) et Priouret ( P.). - Recollements de processus de Markov (à paraître). Zbl0281.60075
  7. [7] Doob ( J.L.). - Semimartingales and subharmonic functions, Trans. Amer. math. Soc., t. 77, 1954, p. 86-121. Zbl0059.12205MR64347
  8. [8] Doob ( J.L.). - Probability methods applied to the first boundary value problem, Proceedings of the Third Berkeley symposium on mathematical statistics and probability [1954. Berkeley], Vol. 2, p. 49-80. - Berkeley, University of California Press, 1956. Zbl0074.09101MR84886
  9. [9] Doob ( J.L.). - Probability theory and the first boundary value problem, Illinois J. of Math., t. 2, 1958, p. 18-36. Zbl0086.08403MR106511
  10. [10] Dynkin ( E.B.). - Théorie des processus markoviens, traduit par C. Sardou. - Paris, Dunod, 1963 (Collection universitaire de Mathématiques, 11) ; [en russe Moskva, 1959. Zbl0146.38302MR153054
  11. [11] Dynkin ( E.B.). - Processus de Markov [en russe]. - Moskva, 1963. 
  12. [12] Girsanov ( I.V.). - Strongly-Feller processes, Theory of Prob. and Appl., t. 5, 1960, p. 5-24 ; [en russe], Teorija Veroj. i ee Prim., t. 5, 1960, p. 7-28. Zbl0248.60049MR137151
  13. [13] Loève ( Michel). - Probability theory. 3rd edition. - Princeton, D. Van Nostrand Comp., 1963 (The University Series in higher Mathematics). Zbl0108.14202MR203748
  14. [14] Meyer ( Paul-André). - Fonctionnelles multiplicatives et additives de Markov, Ann. Inst. Fourier, Grenoble, t. 12, 1962, p. 125-230 (Thèse Sc. math. Paris, 1961). Zbl0138.40802MR140148
  15. [15] Meyer ( Paul-André). - Brelot's axiomatic theory of the Dirichlet problem and Hunt's theory, Ann. Inst. Fourier, Grenoble, t. 13, 1963, fasc. 2, p. 357- 372. Zbl0116.30404MR162956
  16. [16] Séminaire BRELOT-CHOQUET-DENY : Théorie du Potentiel, t. 5, 1960/61. - Paris, Secrétariat mathématique, 1961. 
  17. [17] Sur ( M.G.). - Localization of the concept of an excessive function connected with a Markov process, Theory of Prob. and Appl., t. 7, 1962, p. 185-189 ; [en russe], TeorijaVeroj. i ee Prim., t. 7, 1962, p. 191-196. Zbl0109.11601MR187293

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