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References
- I. Benjamini, G. Kozma, A. Yadin, A. Yehudayoff. Entropy of random walk range. Ann. Inst. H. Poincaré Probab. Statist., to appear. Math. Review number not available.
- T.H. Cormen, C.E. Leiserson, R.L. Rivest, C. Stein. Introduction to algorithms. (second edition) MIT Press, Cambridge, MA, 2001. Math. Review MR1848805 (2002e:68001)
- T.M. Cover, J.A. Thomas. Elements of information theory. John Wiley & Sons, Inc., New York, 1991. Math. Review MR1122806 (92g:94001)
- R. Durrett. Probability: Theory and Examples. (third edition) Brooks/Cole, Belmont, 2005. Math. Review number not available.
- A. Erschler. On drift and entropy growth for random walks on groups. Ann. Probab. 31/3, pp. 1193-1204, 2003. Math. Review MR1988468 (2004c:60018)
- V.A. Kaĭmanovich, A.M. Vershik. Random walks on discrete groups: boundary and entropy. Ann. Probab., 11/3, pp. 457-490, 1983. Math. Review MR0704539 (85d:60024)
- A. Naor, Y. Peres. Embeddings of discrete groups and the speed of random walks. International Mathematics Research Notices 2008, Art. ID rnn 076. Math. Review MR2439557 (2009m:20067)
- P. Révész. Random walk in random and non-random environments. Second edition. World Scientific Publishing Co. Pte. Ltd., Singapore, 2005. Math. Review MR2168855 (2006e:60003)
- C.E. Shannon. A mathematical theory of communication. The Bell System Technical Journal, Vol. 27, pp. 379-423, 623-656, 1948. Math. Review MR0026286 (10,133e)
- N.T. Varopoulos. Long range estimates for Markov chains. Bull. Sci. Math. (2) 109, pp. 225-252, 1985. Math. Review MR0822826 (87j:60100)
- W. Woess. Random walks on infinite graphs and groups. Cambridge University Press, Cambridge, 2000. Math. Review MR1743100 (2001k:60006)

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