메뉴 건너뛰기




Volumn 34, Issue 4, 2002, Pages 689-701

Continuum percolation in the Gabriel graph

Author keywords

Gabriel graph; Hard core point process; Percolation; Poisson point process

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTER SIMULATION; MATHEMATICAL MODELS; MONTE CARLO METHODS; PHASE TRANSITIONS; POISSON DISTRIBUTION; RANDOM PROCESSES; SET THEORY;

EID: 0036954668     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1239/aap/1037990948     Document Type: Article
Times cited : (18)

References (24)
  • 1
    • 0002826444 scopus 로고
    • Nearest-neighbour Markov point processes and random sets
    • BADDELEY, A. AND MØLLER, J. (1989). Nearest-neighbour Markov point processes and random sets. Internat. Statist. Rev. 57, 89-121.
    • (1989) Internat. Statist. Rev. , vol.57 , pp. 89-121
    • Baddeley, A.1    Møller, J.2
  • 2
    • 0033121355 scopus 로고    scopus 로고
    • Existence of Delaunay pairwise Gibbs point processes with superstable component
    • BERTIN, E., BILLIOT, J.-M. AND DROUILHET, R. (1999). Existence of Delaunay pairwise Gibbs point processes with superstable component. J. Statist. Phys. 95, 719-744.
    • (1999) J. Statist. Phys. , vol.95 , pp. 719-744
    • Bertin, E.1    Billiot, J.-M.2    Drouilhet, R.3
  • 3
    • 0033351016 scopus 로고    scopus 로고
    • Existence of 'nearest-neighbour' spatial Gibbs models
    • BERTIN, E., BILLIOT, J.-M. AND DROUILHET, R. (1999). Existence of 'nearest-neighbour' spatial Gibbs models. Adv. Appl. Prob. 31, 895-909.
    • (1999) Adv. Appl. Prob. , vol.31 , pp. 895-909
    • Bertin, E.1    Billiot, J.-M.2    Drouilhet, R.3
  • 5
  • 7
    • 21844484208 scopus 로고
    • The analysis of the Widom-Rowlinson model by stochastic geometric methods
    • CHAYES, J., CHAYES, L. AND KOTECKY, R. (1995). The analysis of the Widom-Rowlinson model by stochastic geometric methods. Commun. Math. Phys. 172, 551-569.
    • (1995) Commun. Math. Phys. , vol.172 , pp. 551-569
    • Chayes, J.1    Chayes, L.2    Kotecky, R.3
  • 9
    • 0000191550 scopus 로고    scopus 로고
    • Phase transition and percolation in Gibbsian particle models
    • Statistical Physics and Spatial Statistics, eds K. R. Mecke and D. Stoyan, Springer, Berlin
    • GEORGII, H.-O. (2000). Phase transition and percolation in Gibbsian particle models. In Statistical Physics and Spatial Statistics (Lecture Notes Phys. 554), eds K. R. Mecke and D. Stoyan, Springer, Berlin, pp. 267-294.
    • (2000) Lecture Notes Phys. , vol.554 , pp. 267-294
    • Georgii, H.-O.1
  • 10
    • 0000516890 scopus 로고    scopus 로고
    • Phase transition in continuum Potts models
    • GEORGII, H.-O. AND HÄGGSTRÖM, O. (1996). Phase transition in continuum Potts models. Commun. Math. Phys. 181, 507-528.
    • (1996) Commun. Math. Phys. , vol.181 , pp. 507-528
    • Georgii, H.-O.1    Häggström, O.2
  • 11
    • 0842337237 scopus 로고    scopus 로고
    • The random geometry of equilibrium phases
    • eds C. Domb and J. Lebowitz, Academic Press, London
    • GEORGII, H.-O., HÄGGSTRÖM, O. AND MAES, C. (2001). The random geometry of equilibrium phases. In Phase Transitions and Critical Phenomena, Vol. 18, eds C. Domb and J. Lebowitz, Academic Press, London, pp. 1-142.
    • (2001) Phase Transitions and Critical Phenomena , vol.18 , pp. 1-142
    • Georgii, H.-O.1    Häggström, O.2    Maes, C.3
  • 12
    • 0002218961 scopus 로고    scopus 로고
    • Likelihood inference for spatial point processes
    • eds W. S. Kendall, O. E. Barndoff-Nielsen and M. N. M. van Lieshout, Chapman and Hall, London
    • GEYER, C. (1999). Likelihood inference for spatial point processes. In Stochastic Geometry. Likelihood and Computation, eds W. S. Kendall, O. E. Barndoff-Nielsen and M. N. M. van Lieshout, Chapman and Hall, London, pp. 141-172.
    • (1999) Stochastic Geometry. Likelihood and Computation , pp. 141-172
    • Geyer, C.1
  • 13
    • 0001309227 scopus 로고
    • Simulation procedures and likelihood inference for spatial point processes
    • GEYER, C. AND MØLLER, J. (1994). Simulation procedures and likelihood inference for spatial point processes. Scand. J. Statist. 21, 359-373.
    • (1994) Scand. J. Statist. , vol.21 , pp. 359-373
    • Geyer, C.1    Møller, J.2
  • 14
    • 21344436631 scopus 로고
    • The stochastic random-cluster process, and uniqueness of random cluster measures
    • GRIMMET, G. (1995). The stochastic random-cluster process, and uniqueness of random cluster measures. Ann. Prob. 23, 1461-1510.
    • (1995) Ann. Prob. , vol.23 , pp. 1461-1510
    • Grimmet, G.1
  • 16
    • 0000531315 scopus 로고    scopus 로고
    • Markov random fields and percolation on general graphs
    • HÄGGSTRÖM, O. (2000). Markov random fields and percolation on general graphs. Adv. Appl. Prob. 32, 39-66.
    • (2000) Adv. Appl. Prob. , vol.32 , pp. 39-66
    • Häggström, O.1
  • 17
    • 0039056192 scopus 로고    scopus 로고
    • Nearest neighbor and hard sphere models in continuum percolation
    • HÄGGSTRÖM, O. AND MEESTER, R. (1996). Nearest neighbor and hard sphere models in continuum percolation. Random Structures Algorithms 9, 295-315.
    • (1996) Random Structures Algorithms , vol.9 , pp. 295-315
    • Häggström, O.1    Meester, R.2
  • 19
    • 6644221561 scopus 로고    scopus 로고
    • Packing densities and simulated tempering for hard core Gibbs point processes
    • MASE, S. et al. (2001). Packing densities and simulated tempering for hard core Gibbs point processes. Ann. Inst. Statist. Math. 53, 661-680.
    • (2001) Ann. Inst. Statist. Math. , vol.53 , pp. 661-680
    • Mase, S.1
  • 21
    • 0003231693 scopus 로고
    • Lectures on random voronoi tessellations
    • Springer, New York
    • MØLLER, J. (1994). Lectures on Random Voronoi Tessellations (Lecture Notes Statist. 87). Springer, New York.
    • (1994) Lecture Notes Statist. , vol.87
    • Møller, J.1
  • 23
    • 0001174680 scopus 로고
    • Superstable interactions in classical statistical mechanics
    • RUELLE, D. (1970). Superstable interactions in classical statistical mechanics. Commun. Math. Phys. 18, 127-159.
    • (1970) Commun. Math. Phys. , vol.18 , pp. 127-159
    • Ruelle, D.1
  • 24
    • 4243561640 scopus 로고
    • A proposal for the estimation of percolation thresholds in two-dimensional lattices
    • SAKAMOTO, S., YONEZAWA, F. AND HORI, M. (1989). A proposal for the estimation of percolation thresholds in two-dimensional lattices. J. Phys. A 22, L699-L704.
    • (1989) J. Phys. A , vol.22
    • Sakamoto, S.1    Yonezawa, F.2    Hori, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.