Principles of Potential Theory and Markov Chains
D. I. Shparo · Theory of Probability and Its Applications · 1966
Previous article Next article Principles of Potential Theory and Markov ChainsD. I. ShparoD. I. Shparohttps://doi.org/10.1137/1111040PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Gustave Choquet and , Jacques Deny, Aspects linéaires de la théorie du potentiel. I. Etude des modèles finis, C. R. Acad. Sci. Paris, 242 (1956), 222–225 MR0077655 0070.10003 Google Scholar[2] Gustave Choquet and , Jacques Deny, Modèles finis en théorie du potentiel, J. Analyse Math., 5 (1956-57), 77–135 MR0087755 0086.30502 CrossrefGoogle Scholar[3] Gustave Choquet and , Jacques Deny, Aspects linéaires de la théorie du potentiel. Théorème de dualité et applications, C. R. Acad. Sci. Paris, 243 (1956), 764–767 MR0090667 0071.09903 Google Scholar[4] D. I. Shparo, Discrete potential theory, Sibirsk. Mat. Ž., 7 (1966), 1400–1411, (In Russian.) MR0204691 Google Scholar[5] D. I. Shparo, Principle of the lower envelope in discrete potential theory, Izv. Akad. Nauk SSSR Ser. Mat., 30 (1966), 279–288, (In-Russian.) MR0200471 Google Scholar[6] John G. Kemeny and , J. Laurie Snell, Potentials for denumerable Markov chains, J. Math. Anal. Appl., 3 (1961), 196–260 10.1016/0022-247X(61)90054-3 MR0140141 0105.33103 CrossrefGoogle Scholar[7] G. A. Hunt, Martingales et processus de Markov, Monographies de la société Mathématique de France, No. 1, Dunod, Paris, 1966v+145 MR0211453 0158.35802 Google Scholar[8] Paul-André Meyer, Brelot's axiomatic theory of the Dirichlet problem and Hunt's theory, Ann. Inst. Fourier (Grenoble), 13 (1963), 357–372 MR0162956 0116.30404 CrossrefGoogle Scholar[9] Georges Lion, Principe complet du maximum et semi-groupes sousmarkoviens, C. R. Acad. Sci. Paris, 258 (1964), 3621–3623 MR0166834 0116.36301 Google Scholar[10] Richard G. Cook, Infinite Matrices and Sequence Spaces, Macmillan & Co., Ltd., London, 1950xiii+347 MR0040451 0040.02501 Google Scholar[11] G. M. Fikhtengol'ts, Differential and Integral Calculus, Vol. 2, Fizmatgiz, Moscow, 1962 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Volume 11, Issue 3| 1966Theory of Probability & Its Applications History Submitted:06 June 1965Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1111040Article page range:pp. 415-424ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics