Gibbsian fields associated to exponentially decreasing quadratic potentials

Olivier Garet

Annales de l'I.H.P. Probabilités et statistiques (1999)

  • Volume: 35, Issue: 3, page 387-415
  • ISSN: 0246-0203

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Garet, Olivier. "Gibbsian fields associated to exponentially decreasing quadratic potentials." Annales de l'I.H.P. Probabilités et statistiques 35.3 (1999): 387-415. <http://eudml.org/doc/77634>.

@article{Garet1999,
author = {Garet, Olivier},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {Gibbsian fields; Gaussian fields; phase transition; Gibbs measure; symmetric potentials},
language = {eng},
number = {3},
pages = {387-415},
publisher = {Gauthier-Villars},
title = {Gibbsian fields associated to exponentially decreasing quadratic potentials},
url = {http://eudml.org/doc/77634},
volume = {35},
year = {1999},
}

TY - JOUR
AU - Garet, Olivier
TI - Gibbsian fields associated to exponentially decreasing quadratic potentials
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1999
PB - Gauthier-Villars
VL - 35
IS - 3
SP - 387
EP - 415
LA - eng
KW - Gibbsian fields; Gaussian fields; phase transition; Gibbs measure; symmetric potentials
UR - http://eudml.org/doc/77634
ER -

References

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  2. [2] G. Benfatto, E. Presutti and M. Pulvirenti, DLR measures for one-dimensional harmonic systems, Z. Wahrsch. Verw. Geb., Vol. 41, 1978, pp. 305-312. Zbl0355.60063MR467969
  3. [3] B. Chabat, Introduction à l'analyse complexe, Mir, 1990. 
  4. [4] S.C. Chay, On quasi-markov random fields, J. of Multivariate Analysis, Vol. 2, 1972, pp. 14-76. Zbl0228.60017MR303589
  5. [5] R.L. Dobrushin, Gaussian random fields - Gibbsian point of view. In R.L. Dobrushin and Ya.G. Sinai, editors, Multicomponent random systems, volume 6 of Advances in Probability and Related Topics, Dekker, 1980. Zbl0499.60046MR599534
  6. [6] O. Garet, Mesures de Gibbs gaussiennes et dynamiques aléatoires associées sur RZd, Thèse de doctorat, Lille, 1998. 
  7. [7] H.-O. Georgii, Gibbs Measures and Phase Transitions, Walter de Gruyter, 1988. Zbl0657.60122MR956646
  8. [8] J.P. Kahane and R. Salem, Ensembles parfaits et séries trigonométriques, Hermann, 1994. Zbl0856.42001MR1303593
  9. [9] H.-R. Künsch, Gaussian markov random fields, J. Fac. of Science of Univ. of Tokyo, Vol. 26, 1979, pp. 53-73. Zbl0408.60038MR539773
  10. [10] H.-R. Künsch, Reellwertige Zufallsfelder auf einem Gitter: Interpolationsprobleme, Variationsprinzip und statistische Analyse, PhD thesis, Zürich, 1980. 
  11. [11] G.K. Pedersen, Analysis Now, Springer-Verlag, 1995. Zbl0668.46002MR971256
  12. [12] Yu.A. Rosanov, On Gaussian fields with given conditional distributions, Th. of Prob. Appl., Vol. 12, 1967, pp. 433-443. Zbl0212.20101MR221582

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