59
Views
6
CrossRef citations to date
0
Altmetric
Original Articles

Large deviations for the empirical field of curie-weiss modelsFootnote

Pages 3-14 | Received 25 Jan 1988, Published online: 04 Apr 2007

References

  • Bolthausen , E. 1986 . Laplace approximations of sums of independent random vectors . Prob. Th. Rel. Fields , 72 : 305 – 318 .
  • Bolthausen , E. 1987 . Laplace approximations of sums of independent random vectors. Part II. Degenerate maxima and manifolds of maxima . Prob. Th. Rel. Fields , 76 : 167 – 206 .
  • Comets , F. Grandes deviation pour les champs de Gibbs sur Z , Comptes Rendus de I'Academie des Sciences .
  • Denker , M. , Grillenberger , C. and Sigmund , K. 1970 . “ Ergodic theory on compact spaces. Lecture notes in Mathematics 527 ” . Berlin : Springer .
  • Donsker , M. D. and Varadhan , S.R.S. 1983 . Asymptotic evaluation of certain Markov process expectations for large time, IV . Comm. Pure Appl. Math , 36 : 183 – 212 .
  • Dunford , N. and Schwartz , J.T. 1958 . Linear Operators, Part I , London : Interscience .
  • Ellis , R. and Newman , C. 1978 . The statistics of the Curie-Weiss Model . J. Stat. Phys , 19 : 149 – 161 .
  • Ellis , R. S. 1985 . Entropy, large deviations and statistical mechanics , New York : Springer-Verlag .
  • Ellis , R. S. Large deviations for the spin per site in ferromagnetic models , Ann. of prob. to appear .
  • Follmer , H. 1973 . On entropy and information gain in random fields . Z. Wahrsch. verw-geb , 26 : 207 – 217 .
  • Follmer , H. and Orey , S. Large deviations for the empirical field of a Gibbs measure , Ann. of prob. to appear .
  • Kusuoka , S. and Tamura , Y. 1984 . The convergence of Gibbs measures associated with mean field potentials . J. Fac. Sci. Univ. Tokyo , 26 : 223 – 245 .
  • Olla , S. Large deviations for Gibbs random fields , preprint .
  • Preston , C. J. 1976 . “ Random fields. Lecture notes in Mathematics 534 ” . Berlin : Springer .
  • Wu , F. Y. 1982 . The Potts model . Rev. Mod. Physics , 54 : 235 – 268 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.