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Volumn 39, Issue 4, 2011, Pages 1365-1406

Reconstruction for the potts model

Author keywords

Potts model; Reconstruction problem on the tree

Indexed keywords


EID: 80051626250     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/10-AOP584     Document Type: Article
Times cited : (72)

References (26)
  • 3
    • 79960612280 scopus 로고    scopus 로고
    • A computational method for bounding the probability of reconstruction on trees
    • To appear
    • BHATNAGAR, N. andMANEVA, E. (2010). A computational method for bounding the probability of reconstruction on trees. SIAM J. Discrete Math. To appear.
    • (2010) SIAM J. Discrete Math.
    • Bhatnagar, N.1    Maneva, E.2
  • 4
    • 21844521007 scopus 로고
    • On the purity of the limiting Gibbs state for the Ising model on the Bethe lattice
    • BLEHER, P. M., RUIZ, J. and ZAGREBNOV, V. A. (1995). On the purity of the limiting Gibbs state for the Ising model on the Bethe lattice. J. Statist. Phys. 79 473-482.
    • (1995) J. Statist. Phys. , vol.79 , pp. 473-482
    • Bleher, P.M.1    Ruiz, J.2    Zagrebnov, V.A.3
  • 5
    • 38749120964 scopus 로고    scopus 로고
    • The Kesten-Stigum reconstruction bound is tight for roughly symmetric binary channels
    • Berkeley, CA
    • BORGS, C., CHAYES, J. T., MOSSEL, E. and ROCH, S. (2006). The Kesten-Stigum reconstruction bound is tight for roughly symmetric binary channels. In FOCS 518-530. IEEE Comput. Soc., Berkeley, CA.
    • (2006) FOCS 518-530. IEEE Comput. Soc.
    • Borgs, C.1    Chayes, J.T.2    Mossel, E.3    Roch, S.4
  • 10
    • 68349128048 scopus 로고    scopus 로고
    • On the purity of the free boundary condition Potts measure on random trees
    • FORMENTIN, M. and KÜLSKE, C. (2009). On the purity of the free boundary condition Potts measure on random trees. Stochastic Process. Appl. 119 2992-3005.
    • (2009) Stochastic Process. Appl. , vol.119 , pp. 2992-3005
    • Formentin, M.1    Külske, C.2
  • 12
    • 0000572082 scopus 로고    scopus 로고
    • On the extremality of the disordered state for the Ising model on the Bethe lattice
    • IOFFE, D. (1996). On the extremality of the disordered state for the Ising model on the Bethe lattice. Lett. Math. Phys. 37 137-143.
    • (1996) Lett. Math. Phys. , vol.37 , pp. 137-143
    • Ioffe, D.1
  • 13
    • 0002610091 scopus 로고
    • Additional limit theorems for indecomposable multidimensional Galton-Watson processes
    • KESTEN, H. and STIGUM, B. P. (1966). Additional limit theorems for indecomposable multidimensional Galton-Watson processes. Ann. Math. Statist. 37 1463-1481.
    • (1966) Ann. Math. Statist. , vol.37 , pp. 1463-1481
    • Kesten, H.1    Stigum, B.P.2
  • 15
    • 34548542393 scopus 로고    scopus 로고
    • Fast mixing for independent sets, colorings, and other models on trees
    • MARTINELLI, F., SINCLAIR, A. and WEITZ, D. (2007). Fast mixing for independent sets, colorings, and other models on trees. Random Structures Algorithms 31 134-172.
    • (2007) Random Structures Algorithms , vol.31 , pp. 134-172
    • Martinelli, F.1    Sinclair, A.2    Weitz, D.3
  • 16
    • 33750071082 scopus 로고    scopus 로고
    • Reconstruction on trees and spin glass transition
    • MÉZARD, M. andMONTANARI, A. (2006). Reconstruction on trees and spin glass transition. J. Stat. Phys. 124 1317-1350.
    • (2006) J. Stat. Phys. , vol.124 , pp. 1317-1350
    • Mézard, M.1    Montanari, A.2
  • 18
    • 0035638147 scopus 로고    scopus 로고
    • Reconstruction on trees: Beating the second eigenvalue
    • MOSSEL, E. (2001). Reconstruction on trees: Beating the second eigenvalue. Ann. Appl. Probab. 11 285-300.
    • (2001) Ann. Appl. Probab. , vol.11 , pp. 285-300
    • Mossel, E.1
  • 19
    • 2442663027 scopus 로고    scopus 로고
    • Phase transitions in phylogeny
    • (electronic)
    • MOSSEL, E. (2004). Phase transitions in phylogeny. Trans. Amer. Math. Soc. 356 2379-2404 (electronic).
    • (2004) Trans. Amer. Math. Soc. , vol.356 , pp. 2379-2404
    • Mossel, E.1
  • 21
    • 1842550501 scopus 로고    scopus 로고
    • Information flow on trees
    • MOSSEL, E. and PERES, Y. (2003). Information flow on trees. Ann. Appl. Probab. 13 817-844.
    • (2003) Ann. Appl. Probab. , vol.13 , pp. 817-844
    • Mossel, E.1    Peres, Y.2
  • 22
    • 77953812471 scopus 로고    scopus 로고
    • Gibbs rapidly samples colorings of g(n, d/n)
    • MOSSEL, E. and SLY, A. (2009). Gibbs rapidly samples colorings of g(n, d/n). Probab. Theory Related Fields 149 37-69.
    • (2009) Probab. Theory Related Fields , vol.149 , pp. 37-69
    • Mossel, E.1    Sly, A.2
  • 24
    • 36649038526 scopus 로고    scopus 로고
    • On the freezing of variables in random constraint satisfaction problems
    • SEMERJIAN, G. (2008). On the freezing of variables in random constraint satisfaction problems. J. Stat. Phys. 130 251-293.
    • (2008) J. Stat. Phys. , vol.130 , pp. 251-293
    • Semerjian, G.1
  • 25
    • 67349106422 scopus 로고    scopus 로고
    • Reconstruction of random colourings
    • SLY, A. (2009). Reconstruction of random colourings. Comm. Math. Phys. 288 943-961.
    • (2009) Comm. Math. Phys. , vol.288 , pp. 943-961
    • Sly, A.1
  • 26
    • 34848823114 scopus 로고    scopus 로고
    • Phase transitions in the coloring of random graphs
    • ZDEBOROVÁ, L. and KRZAKAŁA, F. (2007). Phase transitions in the coloring of random graphs. Phys. Rev. E (3) 76 031131, 29.
    • (2007) Phys. Rev. E , vol.76 , Issue.3
    • Zdeborová, L.1    Krzakała, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.