Convergence of Non-Homogeneous Bistochastic Markov Chains

Abstract

Previous article Next article Convergence of Non-Homogeneous Bistochastic Markov ChainsV. M. MaksimovV. M. Maksimovhttps://doi.org/10.1137/1115070PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] K. Berzh, Graph Theory and Its Applications, IL, Moscow, 1962, (In Russian.) Google Scholar[2] V. M. Maksimov, Necessary and sufficient conditions for the convergence of the convolution of non-identical distributions on an arbitrary finite group, Theory Prob. Applications, 13 (1968), 287–298 10.1137/1113032 0192.55402 LinkGoogle Scholar[3] T. A. Sarymsakov, On the theory of non-homogeneous Markov chains, Dokl. Akad. Nauk Uzbekh. SSR, 8 (1956), 3–7, (In Russian.) Google Scholar[4] T. A. Sarymsakov and , Kh. A. Mustafin, On the ergodic theorem for non-homogeneous Markov chains, Izd-vo Akad. Nauk, Uzbekh. SSSR, Tashkent, 1957, (In Russian.) Google Scholar[5] J. Wolfowitz, Products of indecomposable, aperiodic, stochastic matrices, Proc. Amer. Math. Soc., 14 (1963), 733–737 MR0154756 0116.35001 CrossrefGoogle Scholar[6] G. D. Raizer, Combinatorial Mathematics, Izd-vo, “Mir”, Moscow, 1966, (In Russian.) Google Scholar[7] O. Yu. Shmidt, Collected Works, Mathematics, Izd-vo Akad. Nauk SSSR, Moscow, 1959, (In Russian.) Google Scholar[8] Saul I. Gass, Linear programming: methods and applications, McGraw-Hill Book Co., Inc., New York, 1958xii+223 MR0096554 0081.36702 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Convergence in distribution of products of d × d random matricesJournal of Mathematical Analysis and Applications, Vol. 162, No. 1 Cross Ref Convergence of nonhomogeneous stochastic chains with countable statesJournal of Multivariate Analysis, Vol. 16, No. 1 Cross Ref Non-homogeneous markov chains: Tail idempotents, tail sigma-fields and basisMathematische Zeitschrift, Vol. 183, No. 3 Cross Ref On a class of non-homogeneous Markov chains24 October 2008 | Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 92, No. 3 Cross Ref Convergence of nonhomogeneous stochastic chains with countable states: An application to measures on semigroups12 October 2006 Cross Ref Convergence of non-homogenous stochastic chains. II24 October 2008 | Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 90, No. 1 Cross Ref A new result on the convergence of nonhomogeneous stochastic chains1 January 1980 | Transactions of the American Mathematical Society, Vol. 262, No. 2 Cross Ref Limit Theorems: Stochastic Matrices, Ergodic Markov Chains, and Measures on Semigroups**This work is supported by an NSF Grant No. MCS 77-03639. Cross Ref Perturbation des produits infinis et applicationsJournal d'Analyse Mathématique, Vol. 31, No. 1 Cross Ref Selection, majorization and replicators Cross Ref Volume 15, Issue 4| 1970Theory of Probability & Its Applications History Submitted:11 March 1969Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1115070Article page range:pp. 604-618ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics