P. M. Bleher, J. Ruiz, and V. A. Zagrebnov, On the purity of the limiting gibbs state for the Ising model on the Bethe lattice, Journal of Statistical Physics, vol.30, issue.1-2, pp.473-482, 1995.
DOI : 10.1007/BF02179399

R. Graham, P. Brightwell, and . Winkler, A second threshold for the hard-core model on a Bethe lattice. Preprint. Currently available from http://cm.belllabs .com/cm/ms, 2003.

W. Evans, C. Kenyon, Y. Peres, and L. J. Schulman, Broadcasting on trees and the Ising model, The Annals of Applied Probability, vol.10, issue.2, pp.410-433, 2000.
DOI : 10.1214/aoap/1019487349

D. Ioffe, On the extremality of the disordered state for the Ising model on the Bethe lattice, Letters in Mathematical Physics, vol.106, issue.1/2, pp.137-143, 1996.
DOI : 10.1007/BF00416016

S. Janson and E. Mossel, Robust reconstruction on trees is determined by the second eigenvalue. Preprint. Currently available from http, 2003.

]. F. Kel85 and . Kelly, Stochastic models of computer communication systems, J. Royal Statist. Soc. B, vol.47, pp.379-395, 1985.

C. Kenyon, E. Mossel, and Y. Peres, Glauber dynamics on trees and hyperbolic graphs, Proceedings 2001 IEEE International Conference on Cluster Computing, pp.568-578, 2001.
DOI : 10.1109/SFCS.2001.959933

E. Mossel, Reconstruction on Trees: Beating the Second Eigenvalue, The Annals of Applied Probability, vol.11, issue.1, pp.285-300, 2001.
DOI : 10.1214/aoap/998926994

[. Mossel, Survey: information flow on trees. DIMACS volume on Graphs, Morphisms and Statistical Physics. To appear. Currently available from http, 2003.

E. Mossel and Y. Peres, Information flow on trees, Ann. Appl. Probab. To appear, 2003.

A. Utkir, Y. M. Rozikov, and . Suhov, A hard-core model on a Cayley tree: an example of a loss network, 2003.

D. Williams, Probability with Martingales, 1991.
DOI : 10.1017/CBO9780511813658

S. Zachary, Countable State Space Markov Random Fields and Markov Chains on Trees, The Annals of Probability, vol.11, issue.4, pp.894-903, 1983.
DOI : 10.1214/aop/1176993439