Problème diophantien des moments et modèle d'Ising
Moussa, Pierre
Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 30 (1982), p. 1-41 / Harvested from Numdam
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Publié le : 1982-01-01
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     author = {Moussa, Pierre},
     title = {Probl\`eme diophantien des moments et mod\`ele d'Ising},
     journal = {Les rencontres physiciens-math\'ematiciens de Strasbourg -RCP25},
     volume = {30},
     year = {1982},
     pages = {1-41},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/RCP25_1982__30__1_0}
}

Moussa, Pierre. Problème diophantien des moments et modèle d'Ising. Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 30 (1982) pp. 1-41. http://gdmltest.u-ga.fr/item/RCP25_1982__30__1_0/

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[2] Pour plus détails sur le modèle d'Ising, voir par exemple l'article de revue "On the theory of cooperative phenomena in crystals" de C. Domb, Advances in Physics, Vol IX, p 149, 1960

[3] T.D. Lee and C.N. Yang, Phys. Rev. Vol 87, p 410, 1952 | Zbl 0048.43401

[4] D. Ruelle, Phys. Rev. Lett. Vol 26, p 303, 1971 | MR 292441

D. Ruelle Commun. Math. Phys. Vol 31, p 265, 1973 | MR 353912 | Zbl 1125.82311

[5] C.N. Yang and T.D. Lee, Phys. Rev. Vol 87, p 404, 1952 | Zbl 0048.43305

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[7] J.D. Bessis, J.M. Drouffe, and P. Moussa, J. Phys. A : Math. Gen. Vol 9, p 2105, 1976

[8] E. Hewitt and H.S. Zuckerman, Duke Mathematical Journal, Vol 26, p 305, 1959 | MR 149164 | Zbl 0087.05802

[9] D. Bessis, in "Bifurcation phenomena in mathematical physics and related topics", C. Bardos and D. Bessis editors, Nato Advanced Study Institute Series, Series C, Vol 54, p 203, D. Reidel Publishing Company 1980 | MR 580287 | Zbl 0425.00010

[10] P. Dienes, "The Taylor series", Dover, New-York, 1957, p 324 | JFM 57.0339.10 | MR 89895 | Zbl 0078.05901

[11] Voir l'article de revue "Uber potenzreihen, die irrationale funktionen darstellen" I, "Uberblicke Mathematik", Vol 6, p 179, 1973 et | MR 372166

"Uber potenzreihen, die irrationale funktionen darstellen" II, "Uberblicke Mathematik", Vol 7, p 7, 1974. | MR 372167 | Zbl 0311.30002

Les références originales sont : G. Polya, Proceedings of the London Mathematical Society (2), Vol 21, p 22, 1923 et

F. Carlson, Mathematische Zeitschrift, Vol 9, p 1, 1921 | JFM 48.1208.02

[12] U. Grenander and G. Szegö, "Toeplitz forms and their applications" University of California Press, 1958 | MR 94840 | Zbl 0080.09501

[13] Voir par exemple A. Zygmund, "Trygonometric series", Cambridge University Press, 1968, Vol II, p 150 | Zbl 0085.05601

[14] F. Gramain, "Fonctions entières arithmétiques", séminaire Delange-Pisot-Poitou, 19è année, 1977/1978, n°8, Paris) | Numdam | MR 520304 | Zbl 0402.10034

[15] R. Creighton Buck, Duke Mathematical journal, Vol 15 page 879, 1948 | MR 29984 | Zbl 0033.36402

[16] D. Bessis, M.L. Mehta and P. Moussa, "Orthogonal polynomials on a family of Cantor sets and the problem of iteration of quadratic mappings" Preprint Saclay DPh-T/81/79, à paraître en 1982 "Letters in Mathematical Physics" | MR 651127 | Zbl 0483.33006