Analyticity properties in ising models

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1. [1] T.D. Lee, C.N. Yang, Statistical Theory... Phys. Rev., t. 87, 1952, p. 410. Zbl0048.43401MR53029
2. [2] T. Asano, Theorem on the Partition Function of the Heisenberg Ferromagnet. Journal of the Physical Society of Japan, t. 29, 1970, p. 2. MR280127
3. [3] D. Ruelle, Extension of the Lee Yang Circle Theorem. Phys. Rev. Lett., t. 26, 1971, p. 6. MR292441
4. [4] A. Messager, J.C. Trotin, On Analyticity Properties of Pressure. Nuovo Cimento B, vol. 19B, ser. 2, no. p. 239. 
5. [5] C. Berge, Graphes et hypergraphes. Dunod, 1970. Zbl0213.25702MR357173
6. [6] R.A. Minlos, Ja. G. Sinai, Some New Results on First Order... Trans. of the Moscow Math. Soc.; vol. 17, 1967. 
7. [7] G. Domb, Adv. in Phys., t. 9, 1960, p. 149. 
8. [8] D. Ruelle, Statistical Mechanics: Rigorous Results. W. A. Benjamin, New York, 1969. Zbl0177.57301MR289084
9. [9] D. Ruelle, On the Use of Small External Field... Annals of Physics, t. 69, 1972, p. 364. 
10. [10] C. Fortuin, P. Kasteleyn, J. Ginibre, Correlation Inequalities...Commun. math. Phys., t. 22, 1971. Zbl0346.06011MR309498
11. [11] R.L. Dobruschin, État gibbsien décrivant la coexistence de plusieurs phases. Théorie des Probabilités et ses applications, t. 17, 1973, p. 4 (In Russian). 
12. [12] G. Gallavotti, S. Miracle Sole, Equilibrium state of the Ising model... Phys. Rev., B5, 1972, p. 2555. 
13. [13] J. Slawny, Seminar in Marseille, 1972-1973. Zbl0669.53018
14. [14] O.E. Lanford, D. Ruelle, Observables at infinity... Commun. Math. Phys., t. 13, 1969, p. 194. MR256687
15. [15] R.L. Dobruschin, Gibbsian random field... Funktsional'nyi Analiz i Ego prilozheniya, t. 2, 1968, p. 4. 
16. [16] C. Domb, M.S. Green, Phase transitions and critical phenomena (Part III, R. B. Griffiths), Academic Press, 1972. 
17. [17] J. Leowitz, A. Martin Lof, On the uniqueness of the equilibrium state... Commun. Math. Phys., t. 25, 1972, p. 276. MR312854
18. [18] H.J. Brascamp, H. Kunz, Analyticity properties of the Ising model... Commun. Math. Phys., t. 32, 1973, p. 2. MR342109
19. [ 19] R.L. Dobruschin, The problem of uniqueness... Funktsional'nyi Analiz i Ego prilozheniya, t. 2, 1968, p. 4. 
20. [20] R.B. Griffiths, Rigorous results on Ising ferromagnets. Journ. of Math. Phys., t. 10, n° 9, 1969. MR256682
21. [21] G. Domb, Adv. in Phys., t. 9, 1960, p. 149. 
22. [22] P. Newman, Zero of the partition function for generalized Ising system. Preprint. 
23. [23] R.B. Griffiths, B. Simon, The P(φ)2 field theory as a classical Ising model. Preprint. 
24. [24] C. Gruber, D. Merlini, W. Greenberg, Spin 1/2 lattice system duality... Preprint.