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Volumn 27, Issue 2, 1999, Pages 845-875

The second lowest extremal invariant measure of the contact process II

Author keywords

Complete convergence; Contact process; Continuity properties; Criterion r = s; Critical points; Ergodic behavior; Graphs; Invariant measures; Order parameters; Partial convergence

Indexed keywords


EID: 0033412033     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1022677388     Document Type: Article
Times cited : (11)

References (22)
  • 1
    • 0001707493 scopus 로고
    • Strict monotonicity for critical points in percolation and ferromagnetic models
    • AIZENMAN, M. and GRIMMETT, G. (1991). Strict monotonicity for critical points in percolation and ferromagnetic models. J. Statist. Phys. 63 817-835.
    • (1991) J. Statist. Phys. , vol.63 , pp. 817-835
    • Aizenman, M.1    Grimmett, G.2
  • 2
    • 0001103678 scopus 로고
    • The critical contact process dies out
    • BEZUIDENHOUT, C. and GRIMMETT, G. (1990). The critical contact process dies out. Ann. Probab. 18 1462-1482.
    • (1990) Ann. Probab. , vol.18 , pp. 1462-1482
    • Bezuidenhout, C.1    Grimmett, G.2
  • 5
    • 0000157884 scopus 로고
    • Intermediate phase for the contact process on a tree
    • DURRETT, R. and SCHINAZI, R. B. (1995). Intermediate phase for the contact process on a tree. Ann. Probab. 23 668-673.
    • (1995) Ann. Probab. , vol.23 , pp. 668-673
    • Durrett, R.1    Schinazi, R.B.2
  • 6
    • 0039364564 scopus 로고
    • The contact process on a finite set III. The critical case
    • DURRETT, R., SCHONMANN, R. H. and TANAKA, N. I. (1989). The contact process on a finite set III. The critical case. Ann. Probab. 17 1303-1321.
    • (1989) Ann. Probab. , vol.17 , pp. 1303-1321
    • Durrett, R.1    Schonmann, R.H.2    Tanaka, N.I.3
  • 7
    • 0033243131 scopus 로고    scopus 로고
    • Growth profile and invariant measures for the weakly supercritical contact process on a homogeneous tree
    • LALLEY, S. (1999). Growth profile and invariant measures for the weakly supercritical contact process on a homogeneous tree. Ann. Probab. 27 206-225.
    • (1999) Ann. Probab. , vol.27 , pp. 206-225
    • Lalley, S.1
  • 8
    • 0032382391 scopus 로고    scopus 로고
    • Limit set of a weakly supercritical contact process on a homogeneous tree
    • LALLEY, S. and SELLKE, T. (1998). Limit set of a weakly supercritical contact process on a homogeneous tree. Ann. Probab. 26 644-657.
    • (1998) Ann. Probab. , vol.26 , pp. 644-657
    • Lalley, S.1    Sellke, T.2
  • 10
    • 0040516844 scopus 로고    scopus 로고
    • Branching random walks and contact processes on homogeneous trees
    • LIGGETT, T. M. (1996a). Branching random walks and contact processes on homogeneous trees. Probab. Theory Related Fields 106 495-519.
    • (1996) Probab. Theory Related Fields , vol.106 , pp. 495-519
    • Liggett, T.M.1
  • 11
    • 0030371517 scopus 로고    scopus 로고
    • Multiple transition points for the contact process on the binary tree
    • LIGGETT, T. M. (1996b). Multiple transition points for the contact process on the binary tree. Ann. Probab. 24 1675-1710.
    • (1996) Ann. Probab. , vol.24 , pp. 1675-1710
    • Liggett, T.M.1
  • 13
    • 0010258563 scopus 로고
    • On the critical behavior of the contact process in deterministic inhomogeneous environments
    • MADRAS, N., SCHINAZI, R. B. and SCHONMANN, R. H. (1994) On the critical behavior of the contact process in deterministic inhomogeneous environments. Ann. Probab. 22 1140-1159.
    • (1994) Ann. Probab. , vol.22 , pp. 1140-1159
    • Madras, N.1    Schinazi, R.B.2    Schonmann, R.H.3
  • 14
    • 21344495600 scopus 로고
    • The critical contact process on a homogeneous tree
    • MORROW, G. J., SCHINAZI, R. B. and ZHANG, Y. (1994). The critical contact process on a homogeneous tree. J. Appl. Probab. 31 250-255.
    • (1994) J. Appl. Probab. , vol.31 , pp. 250-255
    • Morrow, G.J.1    Schinazi, R.B.2    Zhang, Y.3
  • 15
    • 0000771579 scopus 로고
    • The contact process on trees
    • PEMANTLE, R. (1992). The contact process on trees. Ann. Probab. 20 2089-2116.
    • (1992) Ann. Probab. , vol.20 , pp. 2089-2116
    • Pemantle, R.1
  • 16
    • 0041162467 scopus 로고    scopus 로고
    • Unpublished manuscript
    • PEMANTLE, R. and STACEY, A. (1999). Unpublished manuscript.
    • (1999)
    • Pemantle, R.1    Stacey, A.2
  • 17
    • 0031312118 scopus 로고    scopus 로고
    • The second lowest extremal invariant measure of the contact process
    • SALZANO, M. and SCHONMANN, R. H. (1997). The second lowest extremal invariant measure of the contact process. Ann. Probab. 25 1846-1871.
    • (1997) Ann. Probab. , vol.25 , pp. 1846-1871
    • Salzano, M.1    Schonmann, R.H.2
  • 18
    • 0032379304 scopus 로고    scopus 로고
    • A new proof that for the contact process on homogeneous trees local survival implies complete convergence
    • SALZANO, M. and SCHONMANN, R. H. (1998). A new proof that for the contact process on homogeneous trees local survival implies complete convergence. Ann. Probab. 26 1251-1258.
    • (1998) Ann. Probab. , vol.26 , pp. 1251-1258
    • Salzano, M.1    Schonmann, R.H.2
  • 19
    • 0032023976 scopus 로고    scopus 로고
    • The triangle condition for contact processes on homogeneous trees
    • SCHONMANN, R. H. (1998). The triangle condition for contact processes on homogeneous trees. J. Statist. Phys. 90 1429-1440.
    • (1998) J. Statist. Phys. , vol.90 , pp. 1429-1440
    • Schonmann, R.H.1
  • 20
    • 0030360082 scopus 로고    scopus 로고
    • The existence of an intermediate phase for the contact process on trees
    • STACEY, A. M. (1996). The existence of an intermediate phase for the contact process on trees. Ann. Probab. 24 1711-1726.
    • (1996) Ann. Probab. , vol.24 , pp. 1711-1726
    • Stacey, A.M.1
  • 21
    • 0002988718 scopus 로고
    • The contact process on a tree - Behavior near the first transition
    • WU, C. C. (1995). The contact process on a tree - behavior near the first transition. Stochastic Process. Appl. 57 99-112.
    • (1995) Stochastic Process. Appl. , vol.57 , pp. 99-112
    • Wu, C.C.1
  • 22
    • 0040454827 scopus 로고    scopus 로고
    • The complete convergence theorem of the contact process on trees
    • ZHANG, Y. (1996). The complete convergence theorem of the contact process on trees. Ann. Probab. 24 1408-1443.
    • (1996) Ann. Probab. , vol.24 , pp. 1408-1443
    • Zhang, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.