References

1. Antal, Peter; Pisztora, Agoston. On the chemical distance for supercritical Bernoulli percolation. Ann. Probab. 24 (1996), no. 2, 1036--1048. MR1404543 (98b:60168)
2. Babson, Eric; Benjamini, Itai. Cut sets and normed cohomology with applications to percolation. Proc. Amer. Math. Soc. 127 (1999), no. 2, 589--597. MR1622785 (99g:05119)
3. Benjamini, Itai; Pemantle, Robin; Peres, Yuval. Unpredictable paths and percolation. Ann. Probab. 26 (1998), no. 3, 1198--1211. MR1634419 (99g:60183)
4. \bibitem{BeSc} Benjamini, I. and Schramm, O. (1998), Oriented random walk on the Heisenberg group and percolation. {\sl Unpublished manuscript}.
5. Dembo, Amir; Gandolfi, Alberto; Kesten, Harry. Greedy lattice animals: negative values and unconstrained maxima. Ann. Probab. 29 (2001), no. 1, 205--241. MR1825148 (2002f:60087)
6. Doyle, Peter G.; Snell, J. Laurie. Random walks and electric networks. Carus Mathematical Monographs, 22. Mathematical Association of America, Washington, DC, 1984. xiv+159 pp. ISBN: 0-88385-024-9 MR0920811 (89a:94023)
7. Fortuin, C. M.; Kasteleyn, P. W.; Ginibre, J. Correlation inequalities on some partially ordered sets. Comm. Math. Phys. 22 (1971), 89--103. MR0309498 (46 #8607)
8. Grimmett, G. R.; Kesten, H.; Zhang, Y.. Random walk on the infinite cluster of the percolation model. Probab. Theory Related Fields 96 (1993), no. 1, 33--44. MR1222363 (94i:60078)
9. Gromov, Mikhael. Groups of polynomial growth and expanding maps. Inst. Hautes Études Sci. Publ. Math. No. 53, (1981), 53--73. MR0623534 (83b:53041)
10. Häggström, Olle; Mossel, Elchanan. Nearest-neighbor walks with low predictability profile and percolation Ann. Probab. 26 (1998), no. 3, 1212--1231. MR1640343 (99h:60165)
11. He, Zheng-Xu; Schramm, O. Hyperbolic and parabolic packings. Discrete Comput. Geom. 14 (1995), no. 2, 123--149. MR1331923 (96h:52017)
12. Hoffman, Christopher. Energy of flows on $Z\sp 2$ percolation clusters. Random Structures Algorithms 16 (2000), no. 2, 143--155. MR1742348 (2001a:60115)
13. Heicklen, Deborah; Hoffman, Christopher. Return probabilities of a simple random walk on percolation Electron. J. Probab. 10 (2005), no. 8, 250--302 (electronic). MR2120245 (2005j:60182)
14. Hoffman, Christopher; Mossel, Elchanan. Energy of flows on percolation clusters. Potential Anal. 14 (2001), no. 4, 375--385. MR1825692 (2003b:60123)
15. \bibitem{LP} Levin D. and Peres Y. (1998). Energy and cutsets in infinite percolation clusters. {\it Proceedings of the Cortona Workshop on Random Walks and Discrete Potential Theory}, M. Picardello and W. Woess (Editors), Cambridge Univ.\ Press.
16. Liggett, T. M.; Schonmann, R. H.; Stacey, A. M. Domination by product measures. Ann. Probab. 25 (1997), no. 1, 71--95. MR1428500 (98f:60095)
17. Lyons, Terry. A simple criterion for transience of a reversible Markov chain. Ann. Probab. 11 (1983), no. 2, 393--402. MR0690136 (84e:60102)
18. Lyons, Russell; Pemantle, Robin; Peres, Yuval. Resistance bounds for first-passage percolation and maximum flow. J. Combin. Theory Ser. A 86 (1999), no. 1, 158--168. MR1682969 (2000c:60161)
19. \bibitem{yvkl} Lyons R., with Peres Y., (2001) {\it Probability on trees and networks.} Cambridge University Press, in preparation. Current version available at %\hfill\break {\tt http://mypage.iu.edu/~rdlyons/prbtree/prbtree.html}.
20. Peres, Yuval. Probability on trees: an introductory climb. 193--280, Lecture Notes in Math., 1717, Springer, Berlin, 1999. MR1746302 (2001c:60139)
21. Pólya, Georg. Über eine Aufgabe der Wahrscheinlichkeitsrechnung betreffend die (German) Math. Ann. 84 (1921), no. 1-2, 149--160. MR1512028
22. Varopoulos, N. Th.; Saloff-Coste, L.; Coulhon, T. Analysis and geometry on groups. Cambridge Tracts in Mathematics, 100. Cambridge University Press, Cambridge, 1992. xii+156 pp. ISBN: 0-521-35382-3 MR1218884 (95f:43008)