A general Lee-Yang theorem for one-component and multicomponent ferromagnets (original) (raw)
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References
- Ruelle, D.: Statistical mechanics—rigourous results. Chap. 5. New York: Benjamin 1969
Google Scholar - Fröhlich, J.: Poetic phenomena in (two dimensional) quantum field theory: non-uniqueness of the vacuum, the solitons and all that. In: Les méthodes mathématiques de la théorie quantique des champs (1975 Marseille conference). Paris: CNRS 1976
Google Scholar - Penrose, O., Lebowitz, J. L.: Commun. Math. Phys.39 165–184 (1974)
Google Scholar - Guerra, F., Rosen, L., Simon, B.: Commun. Math. Phys.41, 19–32 (1975)
Google Scholar - Newman, C. M.: Commun. Math. Phys.41, 1–9 (1975)
Google Scholar - Dunlop, F.: J. Stat. Phys.21, 561–572 (1979)
Google Scholar - Baker, G. A. Jr.: Phys. Rev. Lett.20, 990–992 (1968)
Google Scholar - Sokal, A. D.: J. Stat. Phys.25, 25–50 (1981)
Google Scholar - Lee, T. D., Yang, C. N.: Phys. Rev.87, 410–419 (1952)
Google Scholar - Asano, T.: J. Phys. Soc. Jpn29, 350–359 (1970)
Google Scholar - Suzuki, M., Fisher, M. E.: J. Math. Phys. (N. Y.)12, 235–246 (1971)
Google Scholar - Ruelle, D.: Phys. Rev. Lett.26, 303–304, 870 (E) (1971)
Google Scholar - Ruelle, D.: Commun. Math. Phys.31, 265–277 (1973)
Google Scholar - Simon, B.: The P (ϕ)2 Euclidean (quantum) field theory. Sect. IX.3. Princeton: Princeton University Press 1974
Google Scholar - Newman, C. M.: Commun. Pure Appl. Math.27, 143–159 (1974)
Google Scholar - Dunlop, F.: J. Stat. Phys.17, 215–228 (1977)
Google Scholar - Sylvester, G. S.: A note on the Lee-Yang Theorem. Oklahoma State University preprint (1980)
- Griffiths, R. B.: J. Math. Phys.10, 1559–1565 (1969)
Google Scholar - Simon, B., Griffiths, R. B.: Commun. Math. Phys.33, 145–164 (1973)
Google Scholar - Dunlop, F.: Commun. Math. Phys.69, 81–88 (1979)
Google Scholar - Dunlop, F., Newman, C. M.: Commun. Math. Phys.44, 223–235 (1975)
Google Scholar - Takagi, T.: Proc. Physico-Math. Soc. Japan3, 175–179 (1921). The collected papers of T. Takagi Kuroda, S. (ed.) Tokyo: Iwanami Shoten Publishers 1973
Google Scholar - Marden, M.: Geometry of polynomials (2nd edit). Providence: American Mathematical Society 1966
Google Scholar - Dieudonné, J.: C. R. Acad. Sci. Paris199, 999–1001 (1934)
Google Scholar - Grace, J. H.: Proc. Cambridge Philos. Soc.11, 352–357 (1902)
Google Scholar - Obreschkoff, N.: Verteilung und Berechung der Nullstellen reeller Polynome. Berlin: VEB Deutscher Verlag der Wissenschaften 1963
Google Scholar - Millard, K. Y., Viswanathan, K. S.: J. Math. Phys.15, 1821–1825 (1974)
Google Scholar - Taylor, B. A.: Some locally convex spaces of entire functions. In: Entire functions and related parts of analysis. Korevaar, J. (ed.). Proceedings of symposia in pure mathematics, Vol. XI. Providence: American Mathematical Society 1968
Google Scholar - Sikkema, P. C.: Differential operators and differential equations of infinite order with constant coefficients. Groningen-Djakarta: Noordhoff 1953
Google Scholar - Hille, E.: Analytic function theory, Vol. II. Boston: Ginn 1962
Google Scholar - Pólya, G.: Sur les opérations fonctionelles linéaires, échangeables avec la dérivation et sur les zéros des polynômes. C. R. Acad. Sci. (Paris)183, 413–414 (1926). Collected papers, Vol. II Boas, R. P. (ed.). pp. 261–262, 427. Cambridge: MIT Press 1974
Google Scholar - Benz, E.: Comments. Math. Helv.7, 243–289 (1935)
Google Scholar - Levin, B. Ja: Distribution of zeros of entire functions. Providence: American Mathematical Society 1964 (Translated from Russian)
Google Scholar - Obrechkoff, N.: Quelques classes de fonctions entières limites de polynômes et de fonctions méromorphes limites de fractions rationelles. In: Actualités Sci. et Ind. Vol. 891 pp. 24–25. Paris: Hermann 1941
Google Scholar - Korevaar, J.: Limits of polynomials whose zeros lie in a given set. In: Entire functions and related parts of analysis (Korevaar, J. (ed.). Proceedings of symposia in pure mathematics, Vol. XI. Providence: American Mathematical Society 1968
Google Scholar - Schwartz, L.: Théorie des distributions (nouv. éd.). Paris: Hermann 1966
Google Scholar - Pirogov, S. A., Sinai, Ya. G.: Teor. Mat. Fiz.25, 358–369 (1975);26, 61–76 (1976) Theor. Math. Phys. (USSR)25, 1185–1192 (1975);26, 39–49 (1976)
Google Scholar - Gawedzki, K.: Commun. Math. Phys.59, 117–142 (1978)
Google Scholar - Newman, C. M.: Proc. Am. Math. Soc.61, 245–251 (1976)
Google Scholar - Newman, C. M.: J. Stat. Phys.15, 399–406 (1976)
Google Scholar - Heilmann, O. J., Lieb, E. H.: Commun. Math. Phys.25, 190–232 (1972); Erratum27, 166 (1972)
Google Scholar - Dunlop, F.: Zeros of the partition function for some generalized ising models. Esztergom Colloquium. IHES Preprint 1979
- Runnels, L. K., Lebowitz, J. L.: J. Stat. Phys.23, 1–10 (1980)
Google Scholar