Controlling Griffiths' singularities
Annales de l'I.H.P. Physique théorique, Tome 64 (1996) no. 3, pp. 309-323. 
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     author = {Klein, Abel and Perez, J. Fernando},
     title = {Controlling {Griffiths'} singularities},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {309--323},
     publisher = {Gauthier-Villars},
     volume = {64},
     number = {3},
     year = {1996},
     mrnumber = {1400294},
     zbl = {0853.60082},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1996__64_3_309_0/}
}
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Klein, Abel; Perez, J. Fernando. Controlling Griffiths' singularities. Annales de l'I.H.P. Physique théorique, Tome 64 (1996) no. 3, pp. 309-323. http://www.numdam.org/item/AIHPA_1996__64_3_309_0/

[1] L. Bassalygo and R. Dobrushin, Uniqueness of a Gibbs field with random potential - an elementary approach, Theory Probab. Appl., Vol. 31, 1986, pp. 572-589. | MR | Zbl

[2] A. Berretti, Some properties of random Ising models, J. Stat. Phys., Vol. 38, 1985, pp. 483-496. | MR | Zbl

[3] H. Von Dreifus, A. Klein and J.F. Perez, Taming Griffiths' singularities: infinite differentiability of quenched correlation functions, Commun. Math. Phys., Vol. 170, 1995, pp. 21-39. | MR | Zbl

[4] J. Fröhlich, Mathematical aspects of the Physics of disordered systems, in: "Critical Phenomena Random Systems, Gauge Theories", K. Osterwalder and R. Stora (eds.), Elsevier, 1986. | MR | Zbl

[5] J. Fröhlich and J. Imbrie, Improved perturbation expansion for disordered systems: beating Griffiths singularities, Commun. Math. Phys., Vol. 96, 1984, pp. 145-180. | MR | Zbl

[6] J. Fröhlich and B. Zegarlinski, The high temperature phase of long range spin glasses, Commun. Math. Phys., Vol. 110, 1987, pp. 121-155. | MR

[7] G. Gielis and C. Maes, The uniqueness regime of Gibbs field with unbounded disorder, J. Stat. Phys., Vol. 81, 1995, pp. 829-835. | MR | Zbl

[8] R.B. Griffiths, Non-analytic behavior above the critical point in a random Ising ferromagnet, Phys. Rev. Lett., Vol. 23, 1969, pp. 17-19.

[9] H. Kesten, Percolation Theory for Mathematicians, Birkhauser, 1982. | MR | Zbl

[10] H. Kesten, Aspects of first passage percolation, in: "École d'Été de Probabilités de Saint-Flour XIV", P. L. Hennequin, ed., Lecture Notes in Mathematics, Springer, Berlin, Vol. 1180, 1986, pp. 125-264. | MR | Zbl

[11] A. Klein, Who is afraid of Griffiths' singularities?, in: "On Three Levels. Micro, Meso and Macroscopic Approaches in Physics", M. Fannes, C. Maes, and A. Verbeure, eds., Plenum Press, New York, 1994, pp. 253-258. | Zbl

[12] E. Olivieri, J.F. Perez and S.G. Rosa Jr., Some rigorous results on the phase diagram of dilute Ising systems, Phys. Lett., Vol. 94A, 1983, p. 309.

[13] J.F. Perez, Controlling the effect of Griffiths' singularities in random ferromagnets, Braz. J. Phys., Vol. 23, 1993, pp. 356-362.

[14] A. Süto, Weak singularity and absence of metastability in random Ising ferromagnets, J. Phys., Vol. A15, 1982, pp. L749-L752. | MR

[15] G.S. Sylvester, Representations and inequalities for Ising model Ursell functions, Commun. Math. Phys., Vol. 42, 1975, pp. 209-220. | MR

[16] B. Zegarlinski, Spin glasses and long range interactions at high temperature, J. Stat. Phys., Vol. 47, 1987, pp. 911-930. | MR