메뉴 건너뛰기




Volumn 14, Issue , 2009, Pages 2438-2462

Variational characterisation of Gibbs measures with Delaunay triangle interaction

Author keywords

Delaunay triangulation; Free energy; Gibbs measure; Large deviations; Pressure; Variational principle; Voronoi tessellation

Indexed keywords


EID: 77956129994     PISSN: None     EISSN: 10836489     Source Type: Journal    
DOI: 10.1214/EJP.v14-713     Document Type: Article
Times cited : (9)

References (21)
  • 2
    • 0033351016 scopus 로고    scopus 로고
    • Existence of "nearest-neighbour" spatial Gibbs models, Adv
    • E. Bertin, J.-M. Billiot and R. Drouilhet, Existence of "nearest-neighbour" spatial Gibbs models, Adv. in Appl. Probab. 31:895-909 (1999)
    • (1999) Appl. Probab , vol.31 , pp. 895-909
    • Bertin, E.1    Billiot, J.-M.2    Drouilhet, R.3
  • 3
    • 0033121355 scopus 로고    scopus 로고
    • Existence of Delaunay pairwise Gibbs point process with superstable component
    • E. Bertin, J.-M. Billiot and R. Drouilhet, Existence of Delaunay pairwise Gibbs point process with superstable component, J. Statist. Phys. 95:719-744 (1999)
    • (1999) J. Statist. Phys , vol.95 , pp. 719-744
    • Bertin, E.1    Billiot, J.-M.2    Drouilhet, R.3
  • 4
    • 3543020964 scopus 로고    scopus 로고
    • Phase transition in the nearest-neighbor continuum Potts model
    • E. Bertin, J.-M. Billiot and R. Drouilhet, Phase transition in the nearest-neighbor continuum Potts model, J. Statist. Phys. 114:79-100 (2004)
    • (2004) J. Statist. Phys , vol.114 , pp. 79-100
    • Bertin, E.1    Billiot, J.-M.2    Drouilhet, R.3
  • 7
    • 39749134713 scopus 로고    scopus 로고
    • Gibbs Delaunay tessellations with geometric hard core conditions
    • D. Dereudre, Gibbs Delaunay tessellations with geometric hard core conditions, J. Statist. Phys. 131:127-151 (2008).
    • (2008) J. Statist. Phys , vol.131 , pp. 127-151
    • Dereudre, D.1
  • 9
    • 0038856460 scopus 로고
    • Generalization of McMillan's theorem to random set functions
    • J. Fritz, Generalization of McMillan's theorem to random set functions. Stud. Sci. Math. Hung. 5:369-394 (1970).
    • (1970) Stud. Sci. Math. Hung , vol.5 , pp. 369-394
    • Fritz, J.1
  • 11
    • 0001358508 scopus 로고
    • Large deviations and maximum entropy principle for interacting random fields on Zd
    • H.O. Georgii, Large deviations and maximum entropy principle for interacting random fields on Zd, Ann. Probab. 21:1845-1875 (1993).
    • (1993) Ann. Probab , vol.21 , pp. 1845-1875
    • Georgii, H.O.1
  • 12
    • 21344494760 scopus 로고
    • Large deviations and the equivalence of ensembles for Gibbsian particle systems with superstable interaction
    • H.O. Georgii, Large deviations and the equivalence of ensembles for Gibbsian particle systems with superstable interaction, Probab. Theory Relat. Fields 99:171-195 (1994).
    • (1994) Probab. Theory Relat. Fields , vol.99 , pp. 171-195
    • Georgii, H.O.1
  • 13
    • 21844497518 scopus 로고
    • The equivalence of ensembles for classical systems of particles
    • H.O. Georgii, The equivalence of ensembles for classical systems of particles, J. Statist. Phys. 80:1341-1378 (1995).
    • (1995) J. Statist. Phys , vol.80 , pp. 1341-1378
    • Georgii, H.O.1
  • 14
    • 21144466135 scopus 로고
    • Large deviations and the maximum entropy principle for marked point random fields
    • H.O. Georgii and H. Zessin, Large deviations and the maximum entropy principle for marked point random fields, Probab. Theory Relat. Fields 96:177-204 (1993).
    • (1993) Probab. Theory Relat. Fields , vol.96 , pp. 177-204
    • Georgii, H.O.1    Zessin, H.2
  • 15
    • 21344498625 scopus 로고
    • Potts models and random-cluster processes with many-body interactions
    • G. Grimmett, Potts models and random-cluster processes with many-body interactions, J. Statist. Phys. 75:67-121 (1994).
    • (1994) J. Statist. Phys. , vol.75 , pp. 67-121
    • Grimmett, G.1
  • 16
    • 2942645862 scopus 로고
    • Nearest neighbor birth and death processes on the real line
    • R. Holley and D. W Stroock, Nearest neighbor birth and death processes on the real line, Acta Math.È140:103-154 (1978).
    • (1978) Acta Math.È140 , pp. 103-154
    • Holley, R.1    Stroock, D.W.2
  • 17
    • 0006440927 scopus 로고
    • Lectures on Random Voronoi Tessellations
    • Springer, Berlin etc
    • J. Mfiller, Lectures on Random Voronoi Tessellations, Lecture Notes in Statistics Vol. 87, Springer, Berlin etc., 1994.
    • (1994) Lecture Notes in Statistics , vol.87
    • Mfiller, J.1
  • 21
    • 39749101434 scopus 로고    scopus 로고
    • Specific index and curvature for random simplicial complexes
    • H. Zessin, Specific index and curvature for random simplicial complexes, Inst. Math. Natl. Acad. Sci. Armenia 37:64-81 (2002).
    • (2002) Inst. Math. Natl. Acad. Sci. Armenia , vol.37 , pp. 64-81
    • Zessin, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.