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Volumn 26, Issue 3, 1998, Pages 1251-1258

A new proof that for the contact process on homogeneous trees local survival implies complete convergence

Author keywords

Complete convergence; Contact process; Ergodic behavior; Homogeneous trees; Local survival

Indexed keywords


EID: 0032379304     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1022855752     Document Type: Article
Times cited : (16)

References (13)
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  • 2
    • 0000236076 scopus 로고
    • Exponential decay for subcritical contact and percolation processes
    • BEZUIDENHOUT, C. and GRIMMETT, G. (1991). Exponential decay for subcritical contact and percolation processes. Ann. Probab. 19 984-1009.
    • (1991) Ann. Probab. , vol.19 , pp. 984-1009
    • Bezuidenhout, C.1    Grimmett, G.2
  • 4
    • 0000129207 scopus 로고
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    • GRIFFEATH, D. (1978). Limit theorems for non-ergodic set-valued Markov processes. Ann. Probab. 6 379-387.
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    • Griffeath, D.1
  • 7
    • 0040516844 scopus 로고    scopus 로고
    • Branching random walks and contact processes on homogeneous trees
    • LIGGETT, T. M. (1996). 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
  • 8
    • 0031493470 scopus 로고    scopus 로고
    • Stochastic models of interacting systems
    • LIGGETT, T. M. (1997). Stochastic models of interacting systems. Ann. Probab. 25 1-29.
    • (1997) Ann. Probab. , vol.25 , pp. 1-29
    • Liggett, T.M.1
  • 10
    • 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
  • 11
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    • The contact process on trees
    • BEMANTLE, R. (1992). The contact process on trees. Ann. Probab. 20 2089-2116.
    • (1992) Ann. Probab. , vol.20 , pp. 2089-2116
    • Bemantle, R.1
  • 12
    • 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
  • 13
    • 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.