@article{ASENS_1999_4_32_3_347_0,
author = {Sj\"ostrand, Johannes and Wang, Wei-Min},
title = {Supersymmetric measures and maximum principles in the complex domain. Exponential decay of Green's functions},
journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
volume = {32},
year = {1999},
pages = {347-414},
doi = {10.1016/s0012-9593(99)80017-2},
mrnumber = {2000h:82050},
zbl = {0941.47033},
language = {en},
url = {http://dml.mathdoc.fr/item/ASENS_1999_4_32_3_347_0}
}
Sjöstrand, J.; Wang, W.-M. Supersymmetric measures and maximum principles in the complex domain. Exponential decay of Green's functions. Annales scientifiques de l'École Normale Supérieure, Tome 32 (1999) pp. 347-414. doi : 10.1016/s0012-9593(99)80017-2. http://gdmltest.u-ga.fr/item/ASENS_1999_4_32_3_347_0/
[A] , Absence of diffusion in certain random lattices, Phys. Rev. 109, 1492 (1958).
[AM] and , Localization at large disorder and at extreme energies : an elementary derivation, Commun. Math. Phys. 157, 245 (1993). | MR 95a:82052 | Zbl 0782.60044
[Be] , The method of second quantization, New York : Academic press, 1966. | MR 34 #8738 | Zbl 0151.44001
[BCKP] , , , and , Smoothness of the density of states in the Anderson model at high disorder, Commun. Math. Phys. 114 439-461, (1988). | MR 89c:82050 | Zbl 0644.60057
[CFS] , , and , Analyticity of the density of states and replica method for random Schrödinger operators on a lattice, J. Stat. Phys. 34 571-596, (1984). | Zbl 0591.60060
[DK] and , A new proof of localization in the Anderson tight binding model, Commun. Math. Phys. 124, 285-299 (1989). | MR 90k:82056 | Zbl 0698.60051
[Ec] , Green's functions in quantum physics, Springer Series in Solid State Sciences 7, 1979. | MR 82j:81001
[FMSS] , , and , Constructive proof of localization in Anderson tight binding model, Commun. Math. Phys. 101, 21-46 (1985). | MR 87a:82047 | Zbl 0573.60096
[FS] and , Absence of diffusion in the Anderson tight binding model for large disorder or low energy, Commun. Math. Phys. 88, 151-184 (1983). | MR 85c:82004 | Zbl 0519.60066
[HS] and , On the correlation for Kac-like models in the convex case, J. of Stat. Phys. (1994). | Zbl 0946.35508
[K] , The supersymmetric replica trick and smoothness of the density of states for the random Schrödinger operators, Proceedings of Symposium in Pure Mathematics, 51, 1990. | MR 92b:82076 | Zbl 0709.60105
[KS] and , Smoothness of the density of states in the Anderson model on a one dimensional strip, Annals of Physics 183, 352-398 (1988). | MR 89k:82012 | Zbl 0635.60077
[S1] , Ferromagnetic integrals, correlations and maximum principle, Ann. Inst. Fourier 44, 601-628 (1994). | Numdam | MR 95h:81015 | Zbl 0831.35031
[S2] , Correlation asymptotics and Witten Laplacians, Algebra and Analysis 8 (1996). | Zbl 0877.35084
[SW] and , Exponential decay of averaged Green functions for the random Schrödinger operators, a direct approach, Ann. Scient. Éc. Norm. Sup., 32 (1999). | Numdam | Zbl 0934.35036
[Sp] , The Schrödinger equation with a random potential-a mathematical review, Les Houches XLIII, K. Osterwalder, R. Stora (eds.) (1984). | Zbl 0655.60050
[V] , Geometric integration theory on supermanifolds, Mathematical Physics Review, USSR Academy of Sciences, Moscow, 1993.
[W1] , Asymptotic expansion for the density of states of the magnetic Schrödinger operator with a random potential, Commun. Math. Phys. 172, 401-425 (1995). | Zbl 0851.35145
[W2] , Supersymmetry and density of states of the magnetic Schrödinger operator with a random potential revisited, (submitted).