Acta Mathematica

On the boundary theory for Markov chains. II

Kai Lai Chung

Full-text: Open access


This research is supported in part by the Office of Scientific Research of the United States Air Force.


This revised version was published online in November 2006 with corrections to the Cover Date.

Article information

Acta Math. Volume 115 (1966), 111-163.

Received: 19 May 1965
First available in Project Euclid: 31 January 2017

Permanent link to this document

Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

1966 © Almqvist & Wiksells Boktryckeri AB


Chung, Kai Lai. On the boundary theory for Markov chains. II. Acta Math. 115 (1966), 111--163. doi:10.1007/BF02392205.

Export citation


  • Chung, K. L., On the boundary theory for Markov chains. Acta Math., 110 (1963), 19–77.
  • — Sur une équation de convolution. C.R. Acad. Sci. Paris, 260 (1965), 4665–4667; 6794–6796.
  • Kingman, J. F. C., The stochastic theory of regenerative events. Z. Wahrscheinlichkeitstheorie und verw. Gebiete, 2 (1964), 180–224.
  • Lévy, P., Théorie de l'addition des variables aléatoires. Gauthier-Villars, Paris 1937.
  • Pyke, R., Markov renewal processes. Ann. Math. Statist., 32 (1961), 1231–1259.
  • Taussky, O., A recurring theorem on determinants. Amer. Math. Monthly, 56 (1949), 672–676.
  • Williams, David, The process extended to the boundary. Z. Wahrscheinlichkeitsctheorie und verw. Gebiete, 2 (1962), 332–339.
  • —, On the construction problem for Markov chains. Z. Wahrscheinlichkeitstheorie und verw. Gebiete, 3 (1964), 227–246.