메뉴 건너뛰기




Volumn 115, Issue 1, 2005, Pages 117-153

Designing a contact process: The piecewise-homogeneous process on a finite set with applications

Author keywords

Biased voter model; Contact process; Correlation length; Oriented percolation; Phase transition; Sensor networks

Indexed keywords

CORRELATION METHODS; MATHEMATICAL MODELS; OPTIMIZATION; PHASE TRANSITIONS; PROBABILITY; SET THEORY; STATE SPACE METHODS;

EID: 10244250368     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spa.2004.08.003     Document Type: Article
Times cited : (7)

References (17)
  • 1
    • 21144445765 scopus 로고    scopus 로고
    • Covering algorithms, continuum percolation, and the geometry of wireless networks
    • L. Booth, J. Bruck, M. Franceschetti, R. Meester, Covering algorithms, continuum percolation, and the geometry of wireless networks, Ann. Appl. Probab. 13 (2) (2003) 722-741.
    • (2003) Ann. Appl. Probab. , vol.13 , Issue.2 , pp. 722-741
    • Booth, L.1    Bruck, J.2    Franceschetti, M.3    Meester, R.4
  • 2
    • 0001047331 scopus 로고
    • The contact process in a random environment
    • M. Bramson, R. Durrett, R.H. Schonmann, The contact process in a random environment, Ann. Probab. 19 (3) (1991) 960-983.
    • (1991) Ann. Probab. , vol.19 , Issue.3 , pp. 960-983
    • Bramson, M.1    Durrett, R.2    Schonmann, R.H.3
  • 3
    • 0000290649 scopus 로고    scopus 로고
    • Highly optimized tolerance: A mechanism for power laws in designed systems
    • J. Carlson, J. Doyle, Highly optimized tolerance: a mechanism for power laws in designed systems, Phys. Rev. E 60 (2) (1999) 1412-1427.
    • (1999) Phys. Rev. E , vol.60 , Issue.2 , pp. 1412-1427
    • Carlson, J.1    Doyle, J.2
  • 4
    • 0000188718 scopus 로고    scopus 로고
    • Highly optimized tolerance: Robustness and design in complex systems
    • J. Carlson, J. Doyle, Highly optimized tolerance: robustness and design in complex systems, Phys. Rev. Lett. 84 (11) (2000) 2529-2532.
    • (2000) Phys. Rev. Lett. , vol.84 , Issue.11 , pp. 2529-2532
    • Carlson, J.1    Doyle, J.2
  • 5
    • 0033527506 scopus 로고    scopus 로고
    • Precise critical exponents for the basic contact process
    • J.R.G. de Mendonça, Precise critical exponents for the basic contact process, J. Phys. A 32 (1999) L467-L473.
    • (1999) J. Phys. A , vol.32
    • de Mendonça, J.R.G.1
  • 6
    • 0000808186 scopus 로고
    • Oriented percolation in two dimensions
    • R. Durrett, Oriented percolation in two dimensions, Ann. Probab. 12 (4) (1984) 999-1040.
    • (1984) Ann. Probab. , vol.12 , Issue.4 , pp. 999-1040
    • Durrett, R.1
  • 8
    • 0009226667 scopus 로고
    • The contact process on a finite set
    • R. Durrett, X.-F. Liu, The contact process on a finite set, Ann. Probab. 16 (3) (1988) 1158-1173.
    • (1988) Ann. Probab. , vol.16 , Issue.3 , pp. 1158-1173
    • Durrett, R.1    Liu, X.-F.2
  • 9
    • 0009144706 scopus 로고
    • The contact process on a finite set 11
    • R. Durrett, R.H. Schonmann, The contact process on a finite set 11, Ann. Probab. 16 (4) (1988) 1570-1583.
    • (1988) Ann. Probab. , vol.16 , Issue.4 , pp. 1570-1583
    • Durrett, R.1    Schonmann, R.H.2
  • 10
    • 0039364564 scopus 로고
    • The contact process on a finite set III: The critical case
    • R. Durrett, R.H. Schonmann, N.I. Tanaka, The contact process on a finite set III: the critical case, Ann. Probab. 17 (1989a) 1303-1321.
    • (1989) Ann. Probab. , vol.17 , pp. 1303-1321
    • Durrett, R.1    Schonmann, R.H.2    Tanaka, N.I.3
  • 11
    • 10244249854 scopus 로고
    • Correlation lengths for oriented percolation
    • R. Durrett, R.H. Schonmann, N.I. Tanaka, Correlation lengths for oriented percolation, J. Statist. Phys. 55 (5/6) (1989b) 965-979.
    • (1989) J. Statist. Phys. , vol.55 , Issue.5-6 , pp. 965-979
    • Durrett, R.1    Schonmann, R.H.2    Tanaka, N.I.3
  • 12
    • 33747142749 scopus 로고    scopus 로고
    • The capacity of wireless networks
    • P. Gupta, P.R. Kumar, The capacity of wireless networks, IEEE Trans. Inform. Theory 46 (2) (2000) 388-404.
    • (2000) IEEE Trans. Inform. Theory , vol.46 , Issue.2 , pp. 388-404
    • Gupta, P.1    Kumar, P.R.2
  • 13
    • 0030597255 scopus 로고    scopus 로고
    • Low-density series expansions for directed percolation on square and triangular lattices
    • I. Jensen, Low-density series expansions for directed percolation on square and triangular lattices, J. Phys. A 29 (22) (1996) 7013-7040.
    • (1996) J. Phys. A , vol.29 , Issue.22 , pp. 7013-7040
    • Jensen, I.1
  • 16
    • 0035335435 scopus 로고    scopus 로고
    • Highly optimized tolerance in epidemic models incorporating local optimization and regrowth
    • C. Robert, J.M. Carlson, J. Doyle, Highly optimized tolerance in epidemic models incorporating local optimization and regrowth, Phys. Rev. E 63 (5) (2001) 056122.
    • (2001) Phys. Rev. E , vol.63 , Issue.5 , pp. 056122
    • Robert, C.1    Carlson, J.M.2    Doyle, J.3
  • 17
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton, NJ
    • R.T. Rockafellar, Convex Analysis, Princeton University Press, Princeton, NJ, 1970.
    • (1970) Convex Analysis
    • Rockafellar, R.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.