The PDF file you selected should load here if your Web browser has a PDF reader plug-in installed (for example, a recent version of Adobe Acrobat Reader).

Alternatively, you can also download the PDF file directly to your computer, from where it can be opened using a PDF reader. To download the PDF, click the Download link below.

If you would like more information about how to print, save, and work with PDFs, Highwire Press provides a helpful Frequently Asked Questions about PDFs.

Download this PDF file Fullscreen Fullscreen Off

References

  1. S. Adams and R. Lyons, Amenability, Kazhdan's property and percolation for trees, groups and equivalence relations, Israel J. Math., 75(2-3), (1991) 341--370. Math. Review 93j:43001
  2. S. R. Adams and R. J. Spatzier, Kazhdan groups, cocycles and trees, Amer. J. Math., 112(2), (1990) 271--287. Math. Review 91c:22011
  3. D. Aldous and J. M. Steele, Asymptotics for Euclidean minimal spanning trees on random points, Probab. Theory Related Fields, 92(2), (1992) 247--258. Math. Review 93c:60007
  4. K. S. Alexander, Percolation and minimal spanning forests in infinite graphs, Ann. Probab., 23(1), (1995) 87--104. Math. Review 96c:60114
  5. I. Benjamini, R. Lyons, Y. Peres, and O. Schramm, Group-invariant percolation on graphs, Geom. Funct. Anal., 9(1), (1999) 29--66. Math. Review 99m:60149
  6. I. Benjamini and O. Schramm, Percolation in the hyperbolic plane, J. Amer. Math. Soc., 14(2) (2001) 487--507 (electronic). Math. Review 2002h:82049
  7. P. A. Ferrari, C. Landim, and H. Thorisson, Poisson trees, succession lines and coalescing random walks, Preprint. Math. Review number not available.
  8. D. Gale and L. Shapley, College admissions and stability of marriage, Amer. Math. Monthly, 69(1), (1962) 9--15. Math. Review number not available.
  9. O. Haggstrom, Infinite clusters in dependent automorphism invariant percolation on trees, Ann. Probab., 25(3), (1997) 1423--1436. Math. Review 98f:60207
  10. O. Haggstrom and R. Meester, Nearest neighbor and hard sphere models in continuum percolation, Random Structures Algorithms, 9(3), (1996) 295--315. Math. Review 99c:60217
  11. R. Pemantle and Y. Peres, Nonamenable products are not treeable, Israel J. Math., 118, (2000) 147--155. Math. Review 2001j:43002
  12. J. M. Steele, Probability theory and combinatorial optimization, volume 69 of CBMS-NSF Regional Conference Series in Applied Mathematics, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA (1997). Math. Review 99d:60002
  13. H. Thorisson, Coupling, stationarity, and regeneration, Probability and its Applications. Springer-Verlag, New York (2000). Math. Review 2001b:60003


Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.