Mean Green's function of the Anderson model at weak disorder with an infra-red cut-off
Annales de l'I.H.P. Physique théorique, Tome 70 (1999) no. 1, pp. 101-146.
@article{AIHPA_1999__70_1_101_0,
     author = {Poirot, Gilles},
     title = {Mean {Green's} function of the {Anderson} model at weak disorder with an infra-red cut-off},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {101--146},
     publisher = {Gauthier-Villars},
     volume = {70},
     number = {1},
     year = {1999},
     mrnumber = {1671211},
     zbl = {0920.60092},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1999__70_1_101_0/}
}
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Poirot, Gilles. Mean Green's function of the Anderson model at weak disorder with an infra-red cut-off. Annales de l'I.H.P. Physique théorique, Tome 70 (1999) no. 1, pp. 101-146. http://www.numdam.org/item/AIHPA_1999__70_1_101_0/

[1] D.J. Thouless, Phys. Report, Vol. 13, 1974, p. 93.

[2] M. Aizenman, in The State of Matter, World Scientific, 1994, p. 367. | MR | Zbl

[3] E. Fradkin, in Développement Récents en Théorie des Champs et Physique Statistique, Les Houches XXXIX, North Holland, 1984.

[4] D. Brydges, A short course on cluster expansion, in Critical phenomena, random systems, gauge theories, Les Houches session XLIII, 1984, Elsevier Science Publishers, 1986. | MR | Zbl

[5] V. Rivasseau, Cluster expansions with large/small field conditions, minicourse in Vanvouver summer school, 1993.

[6] J. Magnen, G. Poirot and V. Rivasseau, The Anderson Model as a Matrix Model, Nucl. Phys. B (Proc. Suppl.), Vol. 58, 1997, p. 149. | MR | Zbl

[7] A. Abdesselam and V. Rivasseau, An explicit large versus small field multiscale cluster expansion, Reviews in Math. Phys., Vol. 9, 1997, p. 123. | MR | Zbl

[8] J.M. Combes and L. Thomas, Asymptotic behaviour of eigenfunctions for multiparticle Schrödinger operators, Comm. Math. Phys., Vol. 34, 1973, pp. 251-270. | MR | Zbl

[9] V. Rivasseau, From Perturbative to constructive renormalization, Princeton University Press, 1991. | MR

[10] J. Feldman, J. Magnen, V. Rivasseau and E. Trubowitz, in The State of Matter, World Scientific, 1994, p. 293. | MR

[11] J. Feldman, J. Magnen, V. Rivasseau and E. Trubowitz, Europhys. Lett., Vol. 24, 1993, pp. 521. | Zbl

[12] M.L. Mehta, Random matrices, Academic Press, Boston, 1991. | MR | Zbl

[13] J. Magnen, G. Poirot and V. Rivasseau, Ward type identities for the 2d Anderson model at weak disorder, preprint of the Ecole Polytechnique CPHT S 599.0198, 1998. | MR