1.Blackwell, D. (1955). On transient Markov processes with a countable number of states and stationary transition probabilities. Annals of Mathematical Statistics 26: 654–658.
2.Chung, K.L. (1960). Markov chains with stationary transition probabilities. Berlin: Springer-Verlag.
3.Fayolle, G., Malyshev, V.A. & Menshikov, M.V. (1995). Constructive theory of countable Markov chains. Cambridge: Cambridge University Press.
4.Feller, W. (1956). Boundaries induced by non-negative matrices. Transactions of the American Mathematical Society 83: 19–54.
5.Hall, P. & Heyde, C.C. (1980). Martingale limit theory and its application. San Diego: Academic Press.
6.Hordijk, A. & Popov, N.V. (2003). Large deviation bounds for face-homogeneous random walks in the quarter plane. Probability in the Engineering and Informational Sciences 17: 369–395.
7.Hordijk, A. & Popov, N.V. (2003). Large deviation analysis for a coupled processors system. Probability in the Engineering and Informational Sciences 17: 397–409.
8.Kaimanovich, V.A. (1992). Measure-theoretic boundaries of Markov chains, 0–2 laws and entropy. In Picardello, M. A. (ed.), Harmonic analysis and discrete potential theory, Frascati, 1991. New York: Plenum, 145–180.
9.Kurkova, I.A. (1999). The Poisson boundary for homogeneous random walks. Russian Mathematical Surveys 54: 441–442.
10.Popov, N. & Spieksma, F.M. (2002). Non-existence of a stochastic fluid limit for a cycling random walk. Technical report, Mathematical Institute, University of Leiden.
11.Ross, S.M. (1970). Applied probability models with optimization applications. San Francisco: Holden Day.
12.Spieksma, F.M. (2008). Continuous scattering and non-atomicity of a face-homogeneous random walk. In preparation.
13.Spieksma, F.M. (2007). Lyapunov functions for Markov chains with applications to face-homogeneous random walks. Internal communication.
14.Spitzer, F.L. (1976). Principles of random walk, 2nd ed.Berlin: Springer-Verlag.
15.Williams, D. (1991). Probability with martingales. Cambridge: Cambridge University Press.