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References
- Aspandiiarov, S., Iasnogorodski, R., and Menshikov, M. (1996). Passage-time moments for nonnegative stochastic processes and an application to reflected random walks in a quadrant. Ann. Probab. 24, 932--960. MR1404537
- Athreya, Krishna B.; Karlin, Samuel. Embedding of urn schemes into continuous time Markov branching processes and related limit theorems. Ann. Math. Statist. 39 1968 1801--1817. MR0232455 (38 #780)
- Durrett, Richard. Probability: theory and examples.Second edition.Duxbury Press, Belmont, CA, 1996. xiii+503 pp. ISBN: 0-534-24318-5 MR1609153 (98m:60001)
- Freedman, David A. Bernard Friedman's urn. Ann. Math. Statist 36 1965 956--970. MR0177432 (31 #1695)
- Freedman, David A. On tail probabilities for martingales. Ann. Probability 3 (1975), 100--118. MR0380971 (52 #1868)
- Janson, Svante. Functional limit theorems for multitype branching processes and generalized Pólya urns. Stochastic Process. Appl. 110 (2004), no. 2, 177--245. MR2040966 (2005a:60134)
- Lamperti, John. Criterian for the recurrence or transience of stochastic process. I. J. Math. Anal. Appl. 1 1960 314--330. MR0126872 (23 #A4166)
- Lamperti, John. Criteria for stochastic processes. II. Passage-time moments. J. Math. Anal. Appl. 7 1963 127--145. MR0159361 (28 #2578)
- Menshikov, Mikhail; Zuyev, Sergei. Polling systems in the critical regime. Stochastic Process. Appl. 92 (2001), no. 2, 201--218. MR1817586 (2001m:60217)
- Pemantle, Robin. A survey of random processes with reinforcement. Probab. Surv. 4 (2007), 1--79 (electronic). MR2282181 (2007k:60230)
- Williams, David. Probability with martingales.Cambridge Mathematical Textbooks. Cambridge University Press, Cambridge, 1991. xvi+251 pp. ISBN: 0-521-40455-X; 0-521-40605-6 MR1155402 (93d:60002)

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