On Some Methods of Completion of the Phase Space of a Markov Chain
D. I. Shparo · Theory of Probability and Its Applications · 1968
Previous article Next article On Some Methods of Completion of the Phase Space of a Markov ChainD. I. ShparoD. I. Shparohttps://doi.org/10.1137/1113038PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Marcel Brelot, Le problème de Dirichlet. Axiomatique et frontière de Martin, J. Math. Pures Appl. (9), 35 (1956), 297–335 MR0100173 (20:6607) 0071.10001 Google Scholar[2] J. L. Doob, Discrete potential theory and boundaries, J. Math. Mech., 8 (1959), 433–458; erratum 993 MR0107098 (21:5825) 0101.11503 Google Scholar[3] Hiroshi Kunita and , Takesi Watanabe, Markov processes and Martin boundaries. I, Illinois J. Math., 9 (1965), 485–526 MR0181010 (31:5240) 0147.16505 CrossrefGoogle Scholar[4] Kohur Gowrisankaran, Extreme harmonic functions and boundary value problems, Ann. Inst. Fourier (Grenoble), 13 (1963), 307–356 MR0164051 (29:1350) 0134.09503 CrossrefGoogle Scholar[5] Linda Naïm, Sur le rôle de la frontière de R. S. Martin dans la théorie du potentiel, Ann. Inst. Fourier, Grenoble, 7 (1957), 183–281 MR0100174 (20:6608) 0086.30603 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Behavior of Coexcessive Functions Near the Martin Boundary. IM. G. ShurTheory of Probability & Its Applications, Vol. 14, No. 2 | 17 July 2006AbstractPDF (1711 KB) Volume 13, Issue 2| 1968Theory of Probability & Its Applications197-358 History Submitted:20 July 1966Published online:28 July 2006 InformationCopyright © 1968 © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1113038Article page range:pp. 327-329ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics