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Volumn 28, Issue 1, 1996, Pages 29-52

Large deviations for discrete and continuous percolation

Author keywords

Continuum percolation; Large deviations; Poisson process; Supercritical phase

Indexed keywords


EID: 0007262590     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0001867800027270     Document Type: Article
Times cited : (90)

References (19)
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  • 3
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    • Bernoulli percolation above threshold; and invasion percolation analysis
    • CHAYES, J. T., CHAYES, L. AND NEWMAN, C. M. (1987) Bernoulli percolation above threshold; and invasion percolation analysis. Ann. Prob. 15, 1272-1287.
    • (1987) Ann. Prob. , vol.15 , pp. 1272-1287
    • Chayes, J.T.1    Chayes, L.2    Newman, C.M.3
  • 4
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    • Surface order large deviations for high-density percolation
    • To appear
    • DEUSCHEL, J.-D. AND PISZTORA, A. (1995) Surface order large deviations for high-density percolation. Prob. Theory Rel. Fields. To appear.
    • (1995) Prob. Theory Rel. Fields
    • Deuschel, J.-D.1    Pisztora, A.2
  • 7
    • 34250106099 scopus 로고
    • Large deviations for the contact process and two dimensional percolation
    • DURRETT, R. AND SCHONMANN, R. H. (1988) Large deviations for the contact process and two dimensional percolation. Prob. Theory Rel. Fields 77, 583-603.
    • (1988) Prob. Theory Rel. Fields , vol.77 , pp. 583-603
    • Durrett, R.1    Schonmann, R.H.2
  • 8
    • 85033829392 scopus 로고
    • Ph.D. Thesis. Technische Universiteit Delft
    • GANDOLFI, A. (1989) Ph.D. Thesis. Technische Universiteit Delft.
    • (1989)
    • Gandolfi, A.1
  • 10
    • 0001626028 scopus 로고
    • The supercritical phase of percolation is well-behaved
    • GRIMMETT, G. AND MARSTRAND, J. M. (1990) The supercritical phase of percolation is well-behaved. Proc. R. Soc. A 430, 439-457.
    • (1990) Proc. R. Soc. A , vol.430 , pp. 439-457
    • Grimmett, G.1    Marstrand, J.M.2
  • 11
    • 0002023496 scopus 로고
    • The probability of a large finite cluster in supercritical Bernoulli percolation
    • KESTEN, H. AND ZHANG, Y. (1990) The probability of a large finite cluster in supercritical Bernoulli percolation. Ann. Prob. 18, 537-555.
    • (1990) Ann. Prob. , vol.18 , pp. 537-555
    • Kesten, H.1    Zhang, Y.2
  • 13
    • 0001012904 scopus 로고
    • On a continuum percolation model
    • PENROSE, M. D. (1991) On a continuum percolation model. Adv. Appl. Prob. 23, 536-556.
    • (1991) Adv. Appl. Prob. , vol.23 , pp. 536-556
    • Penrose, M.D.1
  • 14
    • 0004699056 scopus 로고
    • Single linkage clustering and continuum percolation
    • PENROSE, M. D. (1995) Single linkage clustering and continuum percolation. J. Multivar. Anal. 53, 94-109.
    • (1995) J. Multivar. Anal. , vol.53 , pp. 94-109
    • Penrose, M.D.1
  • 15
    • 3342987252 scopus 로고
    • Ph.D. Thesis. E.T.H., Zurich
    • PISZTORA, A. (1993) Ph.D. Thesis. E.T.H., Zurich.
    • (1993)
    • Pisztora, A.1
  • 16
    • 85033819914 scopus 로고
    • Surface order large deviations for Ising, Potts and percolation models
    • To appear
    • PISZTORA, A. (1994) Surface order large deviations for Ising, Potts and percolation models. Prob. Theory Rel. Fields. To appear.
    • (1994) Prob. Theory Rel. Fields
    • Pisztora, A.1
  • 17
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    • Personal communication
    • ROY, R. AND SARKAR, A. (1992) Personal communication.
    • (1992)
    • Roy, R.1    Sarkar, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.