메뉴 건너뛰기




Volumn 1, Issue 1, 2000, Pages 59-100

Correlation asymptotics of classical lattice spin systems with nonconvex Hamilton function at low temperature

Author keywords

Correlation Function; Exponential Decay; Lattice Spin Systems; Witten Laplacian

Indexed keywords


EID: 0034381954     PISSN: 14240637     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00001002     Document Type: Article
Times cited : (21)

References (19)
  • 1
    • 0040757988 scopus 로고    scopus 로고
    • Renormalization group analysis of spectral problems in quantum field theory
    • V. Bach, J. Fröhlich, and I. M. Sigal. Renormalization group analysis of spectral problems in quantum field theory. Adv. in Math., 137:205-298, 1998.
    • (1998) Adv. in Math. , vol.137 , pp. 205-298
    • Bach, V.1    Fröhlich, J.2    Sigal, I.M.3
  • 2
    • 49549132663 scopus 로고
    • On extensions of the Brunn-Minkowski and Prékopa-Leindler theorems including inequalities for log concave functions, and with applications to the diffusion equation
    • H.J. Brascamp and E.H. Lieb. On extensions of the Brunn-Minkowski and Prékopa-Leindler theorems including inequalities for log concave functions, and with applications to the diffusion equation. J. Funct. Anal., 22:366-389, 1976.
    • (1976) J. Funct. Anal. , vol.22 , pp. 366-389
    • Brascamp, H.J.1    Lieb, E.H.2
  • 5
    • 0009073651 scopus 로고
    • Phase diagrams for continuous spin models: An extension of the Pirogov-Sinai theory
    • R. Dobroushin, editor. Reidel, Dordrecht
    • R. Dobroushin and M. Zahradnik. Phase diagrams for continuous spin models: An extension of the Pirogov-Sinai theory. In R. Dobroushin, editor, Mathematical Problems of Statistical Mechanics. Reidel, Dordrecht, 1986.
    • (1986) Mathematical Problems of Statistical Mechanics
    • Dobroushin, R.1    Zahradnik, M.2
  • 6
    • 0007445431 scopus 로고    scopus 로고
    • On Laplace integrals and transfer operators in large dimension: Examples in the non-convex case
    • B. Helffer. On Laplace integrals and transfer operators in large dimension: examples in the non-convex case. Lett. Math. Phys., 38(3):297-312, 1996.
    • (1996) Lett. Math. Phys. , vol.38 , Issue.3 , pp. 297-312
    • Helffer, B.1
  • 7
    • 0002873443 scopus 로고    scopus 로고
    • Remarks on the decay of correlations and Witten's Laplacians - I. Brascamp-Lieb inequalities and the semiclassical limit
    • B. Helffer. Remarks on the decay of correlations and Witten's Laplacians - I. Brascamp-Lieb inequalities and the semiclassical limit. J. Funct. Anal., 155:571-586, 1998.
    • (1998) J. Funct. Anal. , vol.155 , pp. 571-586
    • Helffer, B.1
  • 8
    • 0033438685 scopus 로고    scopus 로고
    • Remarks on the decay of correlations and Witten's Laplacians - II. Analysis of the dependence of the interaction
    • in press
    • B. Helffer. Remarks on the decay of correlations and Witten's Laplacians - II. Analysis of the dependence of the interaction. Rev. Math. Phys. (in press), 1999.
    • (1999) Rev. Math. Phys.
    • Helffer, B.1
  • 9
    • 0039462300 scopus 로고    scopus 로고
    • Remarks on the decay of correlations and Witten's Laplacians - III. Applications to logarithmic Sobolev inequalities
    • to appear
    • B. Helffer. Remarks on the decay of correlations and Witten's Laplacians - III. applications to logarithmic Sobolev inequalities. Ann. de l'Inst. H. Poincaré (Sect. Proba-Stat) (to appear), 1998.
    • (1998) Ann. de l'Inst. H. Poincaré (Sect. Proba-Stat)
    • Helffer, B.1
  • 10
    • 34249763895 scopus 로고
    • On the correlations for Kac like models in the convex case
    • B. Helffer and J. Sjöstrand. On the correlations for Kac like models in the convex case. J. Stat. Phys., 74:349-369, 1994.
    • (1994) J. Stat. Phys. , vol.74 , pp. 349-369
    • Helffer, B.1    Sjöstrand, J.2
  • 14
    • 0037703286 scopus 로고    scopus 로고
    • Correlation asymptotics and Witten Laplacians
    • J. Sjöstrand. Correlation asymptotics and Witten Laplacians. St. Petersburg Math. J. (AMS), 8:123-148, 1997. Also in St. Petersburg Math. J. 8 (1996), no. 1, pp. 160-161.
    • (1997) St. Petersburg Math. J. (AMS) , vol.8 , pp. 123-148
    • Sjöstrand, J.1
  • 15
    • 0038869501 scopus 로고    scopus 로고
    • J. Sjöstrand. Correlation asymptotics and Witten Laplacians. St. Petersburg Math. J. (AMS), 8:123-148, 1997. Also in St. Petersburg Math. J. 8 (1996), no. 1, pp. 160-161.
    • (1996) St. Petersburg Math. J. , vol.8 , Issue.1 , pp. 160-161
  • 17
    • 0003619310 scopus 로고
    • Springer-Verlag, Heidelberg, New York
    • B. Thaller. The Dirac Equation. Springer-Verlag, Heidelberg, New York, 1992.
    • (1992) The Dirac Equation
    • Thaller, B.1
  • 18
    • 84972500802 scopus 로고
    • Supersymmetry and Morse theory
    • E. Witten. Supersymmetry and Morse theory. J. Diff. Geom., 17:661-692, 1982.
    • (1982) J. Diff. Geom. , vol.17 , pp. 661-692
    • Witten, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.