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Volumn 120, Issue 3, 2001, Pages 309-345

Large deviation principles for Euclidean functionals and other nearly additive processes

Author keywords

Combinatorial optimization; Large deviation principles; Random graphs; Spin glass model; Statistical mechanics

Indexed keywords


EID: 0035633088     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00008785     Document Type: Article
Times cited : (24)

References (31)
  • 1
    • 0030523782 scopus 로고    scopus 로고
    • The RSW theorem for continuum percolation and the CLT for Euclidean minimal spanning trees
    • Alexander, K.: The RSW theorem for continuum percolation and the CLT for Euclidean minimal spanning trees, Ann. Appl. Prob., 6, 466-494 (1996)
    • (1996) Ann. Appl. Prob. , vol.6 , pp. 466-494
    • Alexander, K.1
  • 3
    • 0011586477 scopus 로고
    • Large deviations by the asymptotic value method
    • ed. R. Pinsky, Birkhäuser
    • Bryc, W.: Large deviations by the asymptotic value method. Diffusion Processes and Related Problems in Analysis, ed. R. Pinsky, Birkhäuser, 447-472 (1990)
    • (1990) Diffusion Processes and Related Problems in Analysis , pp. 447-472
    • Bryc, W.1
  • 7
    • 0001301115 scopus 로고
    • Random fields and diffusion processes
    • Springer, Berlin
    • Föllmer, H.: Random fields and diffusion processes, Lecture Notes in Mathematics 1362, 101-203, Springer, Berlin (1988)
    • (1988) Lecture Notes in Mathematics , vol.1362 , pp. 101-203
    • Föllmer, H.1
  • 8
    • 0000982881 scopus 로고
    • Large deviations for the empirical field of a Gibbs measure
    • Föllmer, H., Orey, S.: Large deviations for the empirical field of a Gibbs measure, Ann. Probab., 16, 961-977 (1988)
    • (1988) Ann. Probab. , vol.16 , pp. 961-977
    • Föllmer, H.1    Orey, S.2
  • 10
    • 21144466135 scopus 로고
    • Large deviations and the maximum entropy principle for marked point random fields
    • Georgii, H.-O., Zessin, H.: Large deviations and the maximum entropy principle for marked point random fields, Probab. Theory Related Fields, 96, 177-204 (1993)
    • (1993) Probab. Theory Related Fields , vol.96 , pp. 177-204
    • Georgii, H.-O.1    Zessin, H.2
  • 11
    • 0038859798 scopus 로고
    • Large deviations in subadditive processes and first-passage percolation
    • Particle Systems, Random Media, and Large Deviations, R. Durrett, ed.
    • Grimmett, G.R.: Large deviations in subadditive processes and first-passage percolation, Contemporary Mathematics, (Particle Systems, Random Media, and Large Deviations, R. Durrett, ed.), 41, 175-194 (1985)
    • (1985) Contemporary Mathematics , vol.41 , pp. 175-194
    • Grimmett, G.R.1
  • 13
    • 0001658352 scopus 로고
    • Postulates for subadditive processes
    • Hammersley, J.M.: Postulates for subadditive processes, Ann. Prob., 2, 652-680 (1974)
    • (1974) Ann. Prob. , vol.2 , pp. 652-680
    • Hammersley, J.M.1
  • 14
    • 0000264803 scopus 로고
    • Aspects of first-passage percolation
    • Springer, Berlin
    • Kesten, H.: Aspects of first-passage percolation, Lecture Notes in Mathematics 1180, 125-264 Springer, Berlin (1986)
    • (1986) Lecture Notes in Mathematics , vol.1180 , pp. 125-264
    • Kesten, H.1
  • 15
    • 0030501338 scopus 로고    scopus 로고
    • The central limit theorem for weighted minimal spanning trees on random points
    • Kesten, H., Lee, S.: The central limit theorem for weighted minimal spanning trees on random points, Ann. Appl. Prob., 6, 495-527 (1996)
    • (1996) Ann. Appl. Prob. , vol.6 , pp. 495-527
    • Kesten, H.1    Lee, S.2
  • 17
    • 0000652715 scopus 로고
    • Large deviations for Gibbs random fields
    • Olla, S.: Large deviations for Gibbs random fields, Probab. Theory Related Fields, 77, 343-357 (1988)
    • (1988) Probab. Theory Related Fields , vol.77 , pp. 343-357
    • Olla, S.1
  • 18
    • 0001213874 scopus 로고
    • A matching problem and subadditive Euclidean functionals
    • Rhee, W.: A matching problem and subadditive Euclidean functionals, Ann. Appl. Prob., 3, 794-801 (1993)
    • (1993) Ann. Appl. Prob. , vol.3 , pp. 794-801
    • Rhee, W.1
  • 20
    • 21844493653 scopus 로고
    • Large deviations for Ising spin glasses with constrained disorder
    • Scarlatti, S., Serva, S. Pasquini, M.: Large deviations for Ising spin glasses with constrained disorder, J. Statist. Phys.: 80, 337-356 (1995)
    • (1995) J. Statist. Phys. , vol.80 , pp. 337-356
    • Scarlatti, S.1    Serva, S.2    Pasquini, M.3
  • 21
    • 21144464979 scopus 로고
    • Large deviations for lattice systems I
    • Seppäläinen, T.: Large deviations for lattice systems I, Probab. Theory Related Fields, 96, 241-260 (1993)
    • (1993) Probab. Theory Related Fields , vol.96 , pp. 241-260
    • Seppäläinen, T.1
  • 22
    • 21844525446 scopus 로고
    • Entropy, limit theorems, and variational principles for disordered lattice systems
    • Seppäläinen, T.: Entropy, limit theorems, and variational principles for disordered lattice systems, Comm. Math. Phys., 171, 233-277 (1995)
    • (1995) Comm. Math. Phys. , vol.171 , pp. 233-277
    • Seppäläinen, T.1
  • 23
    • 0342696483 scopus 로고    scopus 로고
    • Entropy for translation-invariant random-cluster measures
    • Seppäläinen, T.: Entropy for translation-invariant random-cluster measures, Ann. Probab., 26, 1139-1178 (1998)
    • (1998) Ann. Probab. , vol.26 , pp. 1139-1178
    • Seppäläinen, T.1
  • 24
    • 0032188524 scopus 로고    scopus 로고
    • Large deviations for increasing sequences on the plane
    • Seppäläinen, T.: Large deviations for increasing sequences on the plane, Probab. Theory Related Fields, 112, 221-244 (1998)
    • (1998) Probab. Theory Related Fields , vol.112 , pp. 221-244
    • Seppäläinen, T.1
  • 27
    • 51249165477 scopus 로고
    • Concentration of measure and isoperimetric inequalities in product spaces
    • Talagrand, M.: Concentration of measure and isoperimetric inequalities in product spaces, Publications Mathématiques de l'I.H.E.S., 81, 73-205 (1995)
    • (1995) Publications Mathématiques de l'I.H.E.S. , vol.81 , pp. 73-205
    • Talagrand, M.1
  • 28
    • 0039450022 scopus 로고
    • The thermodynamic limit and the replica method for short-range random systems
    • van Hemmen, J.L., Palmer, R.G.: The thermodynamic limit and the replica method for short-range random systems, J. Phys. A: Math. Gen., 15, 3881-3890 (1982)
    • (1982) J. Phys. A: Math. Gen. , vol.15 , pp. 3881-3890
    • Van Hemmen, J.L.1    Palmer, R.G.2
  • 30
    • 0000733381 scopus 로고
    • Fluctuations of extensive functions of quenched random couplings
    • Wehr, J., Aizenman, M.: Fluctuations of extensive functions of quenched random couplings, J. Statist. Phys., 60, 287-306 (1990)
    • (1990) J. Statist. Phys. , vol.60 , pp. 287-306
    • Wehr, J.1    Aizenman, M.2
  • 31
    • 0003268979 scopus 로고    scopus 로고
    • Probability theory of classical Euclidean optimization problems
    • Springer-Verlag
    • Yukich, J.E.: Probability Theory of Classical Euclidean Optimization Problems, Lecture Notes in Mathematics, 1675, Springer-Verlag (1998)
    • (1998) Lecture Notes in Mathematics , pp. 1675
    • Yukich, J.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.