### Markov chains

[1] : Some properties of Markoff chains. Ph.D. thesis, University of Illinois at Urbana-Champaign, 1941. Advised by J. L. Doob. MR 2937439 phdthesis

[2] : “Idempotent Markoff chains,” Ann. Math. (2) 43 : 3 (July 1942), pp. 560–567. MR 0006632 Zbl 0063.00419 article

[3] : “The existence of anormal chains,” Bull. Am. Math. Soc. 51 : 6, Part 1 (1945), pp. 465–468. MR 0011916 Zbl 0063.00420 article

[4] : “Finite non-homogeneous chains,” Ann. Math. (2) 46 : 4 (October 1945), pp. 594–599. MR 0013858 Zbl 0063.00421 article

[5] : “On transient Markov processes with a countable number of states and stationary transition probabilities,” Ann. Math. Stat. 26 : 4 (1955), pp. 654–658. MR 0075479 Zbl 0066.11303 article

[6] : “On the identifiability problem for functions of finite Markov chains,” Ann. Math. Stat. 28 : 4 (1957), pp. 1011–1015. MR 0099081 Zbl 0080.34901 article

[7] : “Another countable Markov process with only instantaneous states,” Ann. Math. Stat. 29 : 1 (1958), pp. 313–316. MR 0093822 Zbl 0085.12702 article

[8] :
“The tail __\( \sigma \)__-field of a Markov chain and a theorem of Orey,”
Ann. Math. Stat.
35 : 3
(1964),
pp. 1291–1295.
MR
0164375
Zbl
0127.35204
article

[9] : “The Martin boundary for Pólya’s urn scheme, and an application to stochastic population growth,” J. Appl. Probability 1 : 2 (December 1964), pp. 284–296. MR 0176518 Zbl 0129.10702 article

[10] : “On the local behavior of Markov transition probabilities,” Ann. Math. Stat. 39 : 6 (1968), pp. 2123–2127. MR 0233429 Zbl 0175.46903 article

[11] : “Large excesses for finite-state Markov chains,” pp. 35–39 in System and Bayesian reliability: Essays in honor of Professor Richard E. Barlow on his 70th birthday. Edited by Y. Hayakawa, T. Irony, and M. Xie. Series on Quality, Reliability & Engineering statistics 5. World Scientific (River Edge, NJ), 2001. MR 1896774 incollection