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Volumn 80, Issue , 2011, Pages 1437-1440

The sizes of large hierarchical long-range percolation clusters

Author keywords

Component; Hierarchical lattice; Percolation; Phase transition

Indexed keywords

COMPONENT; HIERARCHICAL LATTICE; LARGE CLUSTERS; PERCOLATION CLUSTERS; PERCOLATION MODELS; QUALITATIVE DIFFERENCES; ULTRAMETRIC SPACE;

EID: 80052162319     PISSN: 2010376X     EISSN: 20103778     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (1)

References (21)
  • 1
    • 0000847052 scopus 로고
    • Discontinuity of the percolation density in one-dimensional 1/{pipe}x-y{pipe}2 percolation models
    • M. Aizenman and C. M. Newman, Discontinuity of the percolation density in one-dimensional 1/{pipe}x-y{pipe}2 percolation models. Comm. Math. Phys., 107(1986) 611-647.
    • (1986) Comm. Math. Phys , vol.107 , pp. 611-647
    • Aizenman, M.1    Newman, C.M.2
  • 2
    • 77951938848 scopus 로고    scopus 로고
    • Survival of contact processes on the hierarchical group
    • S. R. Athreya and J. M. Swart, Survival of contact processes on the hierarchical group. Probab. Theory Relat. Fields, 147(2010) 529-563.
    • (2010) Probab. Theory Relat. Fields , vol.147 , pp. 529-563
    • Athreya, S.R.1    Swart, J.M.2
  • 3
    • 84930064585 scopus 로고    scopus 로고
    • Hierarchical organization in complex networks
    • A. L. Barab́asi and E. Ravaz, Hierarchical organization in complex networks. Phys. Rev. E, 67(2003) 026112.
    • (2003) Phys. Rev. E , vol.67 , pp. 026112
    • Barab́asi, A.L.1    Ravaz, E.2
  • 4
    • 0001883932 scopus 로고    scopus 로고
    • Percolation beyond Zd, many questions and a few answers
    • I. Benjamini and O. Schramm, Percolation beyond Zd, many questions and a few answers. Elect. Commun. Probab., 1(1996) 71-82.
    • (1996) Elect. Commun. Probab , vol.1 , pp. 71-82
    • Benjamini, I.1    Schramm, O.2
  • 5
    • 0036011687 scopus 로고    scopus 로고
    • Transience, recurrence and critical behavior for long-range percolation
    • N. Berger, Transience, recurrence and critical behavior for long-range percolation. Comm. Math. Phys., 226(2002) 531-558.
    • (2002) Comm. Math. Phys , vol.226 , pp. 531-558
    • Berger, N.1
  • 6
    • 8744235217 scopus 로고    scopus 로고
    • On the scaling of chemical distance in long-range percoaltion models
    • M. Biskup, On the scaling of chemical distance in long-range percoaltion models. Ann. Probab., 32(2004) 2938-2977.
    • (2004) Ann. Probab , vol.32 , pp. 2938-2977
    • Biskup, M.1
  • 15
    • 4243757085 scopus 로고
    • Long range percolation in one dimension
    • L. S. Schulman, Long range percolation in one dimension. J. Phys. A: Math. Gen., 16(1983) L639-L641.
    • (1983) J. Phys. A: Math. Gen , vol.16
    • Schulman, L.S.1
  • 18
    • 80052184109 scopus 로고    scopus 로고
    • The giant component in a random subgraph of a weak expander
    • Y. Shang, The giant component in a random subgraph of a weak expander. Int. J. Math. Comput. Sci., 7(2011) 95-99.
    • (2011) Int. J. Math. Comput. Sci , vol.7 , pp. 95-99
    • Shang, Y.1
  • 19
    • 80052181621 scopus 로고    scopus 로고
    • Leader-following consensus problems with a time-varying leader under measurement noises
    • arXiv:0909.4349, to appear in
    • Y. Shang, Leader-following consensus problems with a time-varying leader under measurement noises. arXiv:0909.4349, to appear in Adv. Dyn. Syst. Appl.
    • Adv. Dyn. Syst. Appl
    • Shang, Y.1
  • 20
    • 47149118340 scopus 로고    scopus 로고
    • Cucker-Smale flocking under hierarchical leadership
    • J. Shen, Cucker-Smale flocking under hierarchical leadership. SIAM J. Appl. Math., 68(2007) 694-719.
    • (2007) SIAM J. Appl. Math , vol.68 , pp. 694-719
    • Shen, J.1
  • 21
    • 77957053951 scopus 로고    scopus 로고
    • The growth of the infinite long-range percolation cluster
    • P. Trapman, The growth of the infinite long-range percolation cluster. Ann. Probab., 38(2010) 1583-1608.
    • (2010) Ann. Probab , vol.38 , pp. 1583-1608
    • Trapman, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.