Percolation on Transitive Graphs as a Coalescent Process: Relentless Merging Followed by Simultaneous Uniqueness
Author:
Publisher
Birkhäuser Boston
Link
http://link.springer.com/content/pdf/10.1007/978-1-4612-2168-5_4.pdf
Reference31 articles.
1. Aizenman, M., Kesten H., and Newman, C.M. (1987) Uniqueness of the infinite cluster and continuity of connectivity functions for short-and long-range percolation, Commun. Math. Phys. 111, 505–532.
2. Aldous, D. (1997) Brownian excursions, critical random graphs and the multiplicative coalescent, Ann. Probab. 25, 812–854.
3. Alexander, K. (1995) Simultaneous uniqueness of infinite clusters in stationary random labeled graphs, Commun. Math. Phys. 168, 39–55.
4. Alexander, K. (1995) Percolation and minimal spanning forests in infinite graphs. Ann. Probab. 23, 87–104.
5. Babson, E. and Benjamini, I. (1998) Cut sets and normed cohomology with application to percolation, Proc. Amer. Math. Soc., to appear.
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