References

• P. Albin, Private communication.
• Alexander, Kenneth S. The RSW theorem for continuum percolation and the CLT for Euclidean minimal spanning trees. Ann. Appl. Probab. 6 (1996), no. 2, 466--494. MR1398054
• Athreya, Krishna B.; Ney, Peter E. Branching processes. Die Grundlehren der mathematischen Wissenschaften, Band 196. Springer-Verlag, New York-Heidelberg, 1972. xi+287 pp. MR0373040
• Benjamini, Itai; Lyons, Russell; Peres, Yuval; Schramm, Oded. Critical percolation on any nonamenable group has no infinite clusters. Ann. Probab. 27 (1999), no. 3, 1347--1356. MR1733151
• Benjamini, I.; Lyons, R.; Peres, Y.; Schramm, O. Group-invariant percolation on graphs. Geom. Funct. Anal. 9 (1999), no. 1, 29--66. MR1675890
• Benjamini, Itai; Schramm, Oded. Percolation in the hyperbolic plane. J. Amer. Math. Soc. 14 (2001), no. 2, 487--507 (electronic). MR1815220
• Benjamini, Itai; Schramm, Oded. Percolation beyond $\bf Z^ d$, many questions and a few answers. Electron. Comm. Probab. 1 (1996), no. 8, 71--82 (electronic). MR1423907
• Burton, R. M.; Keane, M. Density and uniqueness in percolation. Comm. Math. Phys. 121 (1989), no. 3, 501--505. MR0990777
• Cannon, James W.; Floyd, William J.; Kenyon, Richard; Parry, Walter R. Hyperbolic geometry. Flavors of geometry, 59--115, Math. Sci. Res. Inst. Publ., 31, Cambridge Univ. Press, Cambridge, 1997. MR1491098
• A. Erdélyi, W. Magnus, F. Oberhettinger, and F.G. Tricomi, Higher Transcendental Functions, Vol. I, McGraw-Hill, 1953.
• A. Erdélyi, W. Magnus, F. Oberhettinger, and F.G. Tricomi, Higher Transcendental Functions, Vol. II, McGraw-Hill, 1953.
• Grimmett, Geoffrey. Percolation. Second edition. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 321. Springer-Verlag, Berlin, 1999. xiv+444 pp. ISBN: 3-540-64902-6 MR1707339
• Häggström, Olle. Infinite clusters in dependent automorphism invariant percolation on trees. Ann. Probab. 25 (1997), no. 3, 1423--1436. MR1457624
• Häggström, Olle; Jonasson, Johan. Uniqueness and non-uniqueness in percolation theory. Probab. Surv. 3 (2006), 289--344 (electronic). MR2280297
• Hall, Peter. On continuum percolation. Ann. Probab. 13 (1985), no. 4, 1250--1266. MR0806222
• J. Jonasson, textitHard-sphere percolation: Some positive answers in the hyperbolic plane and on the integer lattice, Preprint, 2001.
• Pak, Igor; Smirnova-Nagnibeda, Tatiana. On non-uniqueness of percolation on nonamenable Cayley graphs. C. R. Acad. Sci. Paris Sér. I Math. 330 (2000), no. 6, 495--500. MR1756965
• Meester, Ronald; Roy, Rahul. Continuum percolation. Cambridge Tracts in Mathematics, 119. Cambridge University Press, Cambridge, 1996. x+238 pp. ISBN: 0-521-47504-X MR1409145
• Prudnikov, A. P.; Brychkov, Yu. A.; Marichev, O. I. Integrals and series. Vol. 1. Elementary functions. Translated from the Russian and with a preface by N. M. Queen. Gordon & Breach Science Publishers, New York, 1986. 798 pp. ISBN: 2-88124-097-6 MR0874986
• Ratcliffe, John G. Foundations of hyperbolic manifolds. Second edition. Graduate Texts in Mathematics, 149. Springer, New York, 2006. xii+779 pp. ISBN: 978-0387-33197-3; 0-387-33197-2 MR2249478
• Sarkar, Anish. Co-existence of the occupied and vacant phase in Boolean models in three or more dimensions. Adv. in Appl. Probab. 29 (1997), no. 4, 878--889. MR1484772
• Schonmann, Roberto H. Stability of infinite clusters in supercritical percolation. Probab. Theory Related Fields 113 (1999), no. 2, 287--300. MR1676831