SCOPUS 정보 검색 플랫폼 - 논문 보기

메뉴 건너뛰기

Journal of Statistical Physics

Volumn 104, Issue 1-2, 2001, Pages 111-143

Mean-field critical behavior for the contact process

(1) Sakai, Akira a,b

a TOKYO INSTITUTE OF TECHNOLOGY (Japan)

b UNIVERSITY OF BRITISH COLUMBIA (Canada)

Author keywords

Contact process; Critical exponents; Lace expansion; Mean field behavior; Percolation; Triangle condition

Indexed keywords

EID: 0035535108 PISSN: 00224715 EISSN: None Source Type: Journal
DOI: 10.1023/A:1010320523031 Document Type: Article

Times cited : (39)

References (14)

1
- 0032047357
- Critical exponents for the contact process under the triangle condition
- D. J. Barsky and C. C. Wu, Critical exponents for the contact process under the triangle condition, J. Stat. Phys. 91:95-124 (1998).
- (1998) J. Stat. Phys. , vol.91 , pp. 95-124
- Barsky, D.J.¹ Wu, C.C.²

2
- 0001103678
- The critical contact process dies out
- C. Bezuidenhout and G. Grimmett, The critical contact process dies out, Ann. Probab. 18:1462-1482 (1990).
- (1990) Ann. Probab. , vol.18 , pp. 1462-1482
- Bezuidenhout, C.¹ Grimmett, G.²

3
- 0000236076
- Exponential decay for subcritical contact and percolation processes
- C. Bezuidenhout and G. Grimmett, Exponential decay for subcritical contact and percolation processes, Ann. Probab. 19:984-1009 (1991).
- (1991) Ann. Probab. , vol.19 , pp. 984-1009
- Bezuidenhout, C.¹ Grimmett, G.²

4
- 0001032409
- Statistical mechanics of crabgrass
- M. Bramson, R. Durrett, and G. Swindle, Statistical mechanics of crabgrass, Ann. Probab. 17:444-481 (1989).
- (1989) Ann. Probab. , vol.17 , pp. 444-481
- Bramson, M.¹ Durrett, R.² Swindle, G.³

5
- 0004246476
- Springer-Verlag
- G. Grimmett, Percolation (Springer-Verlag, 1999).
- (1999) Percolation
- Grimmett, G.¹

6
- 0001638218
- Mean-field critical behaviour for correlation length for percolation in high dimensions
- T. Hara, Mean-field critical behaviour for correlation length for percolation in high dimensions, Probab. Theory Rel. Fields 86:337-385 (1990).
- (1990) Probab. Theory Rel. Fields , vol.86 , pp. 337-385
- Hara, T.¹

7
- 34249952953
- Mean-field critical behaviour for percolation in high dimensions
- T. Hara and G. Slade, Mean-field critical behaviour for percolation in high dimensions, Commun. Math. Phys. 128:333-391 (1990).
- (1990) Commun. Math. Phys. , vol.128 , pp. 333-391
- Hara, T.¹ Slade, G.²

8
- 0000829680
- Contact interactions on a lattice
- T. E. Harris, Contact interactions on a lattice, Ann. Probab. 2:969-988 (1974).
- (1974) Ann. Probab. , vol.2 , pp. 969-988
- Harris, T.E.¹

9
- 0003883874
- Birkhäuser
- N. Madras and G. Slade, The Self-Avoiding Walk (Birkhäuser, 1993).
- (1993) The Self-Avoiding Walk
- Madras, N.¹ Slade, G.²

10
- 0000553017
- Triangle condition for oriented percolation in high dimensions
- B. G. Nguyen and W.-S. Yang, Triangle condition for oriented percolation in high dimensions, Ann. Probab. 21:1809-1844 (1993).
- (1993) Ann. Probab. , vol.21 , pp. 1809-1844
- Nguyen, B.G.¹ Yang, W.-S.²

11
- 21844520722
- Gaussian limit for critical oriented percolation in high dimensions
- B. G. Nguyen and W.-S. Yang, Gaussian limit for critical oriented percolation in high dimensions, J. Stat. Phys. 78:841-876 (1995).
- (1995) J. Stat. Phys. , vol.78 , pp. 841-876
- Nguyen, B.G.¹ Yang, W.-S.²

12
- 0032023976
- The triangle condition for contact processes on homogeneous trees
- R. H. Schonmann, The triangle condition for contact processes on homogeneous trees, J. Stat. Phys. 90:1429-1440 (1998).
- (1998) J. Stat. Phys. , vol.90 , pp. 1429-1440
- Schonmann, R.H.¹

13
- 0007045378
- Geometric critical exponent inequalities for general random cluster models
- H. Tasaki, Geometric critical exponent inequalities for general random cluster models, J. Stat. Phys. 49:841-847 (1987).
- (1987) J. Stat. Phys. , vol.49 , pp. 841-847
- Tasaki, H.¹

14
- 0002988718
- The contact process on a tree: Behavior near the first phase transition
- C. C. Wu, The contact process on a tree: Behavior near the first phase transition, Stoch. Proc. Appl. 57:99-112 (1995).
- (1995) Stoch. Proc. Appl. , vol.57 , pp. 99-112
- Wu, C.C.¹

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.