A symmetric entropy bound on the non-reconstruction regime of Markov chains on Galton-Watson trees

H. O. Georgii, Gibbs measures and phase transitions,

1988

Earlier work this paper cites.

P. M. Bleher, J. Ruiz, V.A. Zagrebnov, On the purity of limiting Gibbs state for the Ising model on the Bethe lattice,

1995

Earlier work this paper cites.

D. Ioffe, A note on the extremality of the disordered state for the Ising model on the Bethe lattice

1996

Earlier work this paper cites.

D. Ioffe, Extremality of the disordered state for the Ising model on general trees

1996

Earlier work this paper cites.

R. Lyons, Phase transitions on nonamenable graphs. In: Probabilistic techniques in equilibrium and nonequilibrium statistical physics,

2000

Earlier work this paper cites.

E. Mossel, Reconstruction on trees: Beating the second eigenvalue

2001

Earlier work this paper cites.

J. B. Martin, Reconstruction thresholds on regular trees

2003

Cited alongside, same era.

E. Mossel, Y.Peres, Information flow on trees

2003

Cited alongside, same era.

S. Janson, E. Mossel, Robust reconstruction on trees is determined by the second eigenvalue,

2004

Cited alongside, same era.

F. Martinelli, A. Sinclair, D. Weitz, Fast mixing for independents sets, colorings and other model on trees

2004

Cited alongside, same era.

C. Borgs, J.T. Chayes, E. Mossel, S.Roch, The Kesten–Stigum reconstruction bound is tight for roughly symmetric binary channels

2006

Cited alongside, same era.

R. Pemantle, Y. Peres, The critical Ising model on trees, concave recursions and nonlinear capacity

2006

M. Mezard, A. Montanari, Reconstruction on trees and spin glass transition

2006

Later among the works it cites.

A. Gerschenfeld, A. Montanari, Reconstruction for models on random graphs

2007

Later among the works it cites.

A. Sly, Reconstruction of symmetric Potts models

Original

2008

Later among the works it cites.

N. Bhatnagar, E. Maneva, A computational method for bounding the probability of reconstruction on trees

2009

Closest in time.

M. Formentin, C. Külske, On the Purity of the free boundary condition Potts measure on random trees

2009

Closest in time.