@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] Localization at large disorder and at extreme energies : an elementary derivation, Commun. Math. Phys. 157, 245 (1993). | MR 95a:82052 | Zbl 0782.60044
and ,[Be] The method of second quantization, New York : Academic press, 1966. | MR 34 #8738 | Zbl 0151.44001
,[BCKP] 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
, , , and ,[CFS] 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
, , and ,[DK] A new proof of localization in the Anderson tight binding model, Commun. Math. Phys. 124, 285-299 (1989). | MR 90k:82056 | Zbl 0698.60051
and ,[Ec] Green's functions in quantum physics, Springer Series in Solid State Sciences 7, 1979. | MR 82j:81001
,[FMSS] Constructive proof of localization in Anderson tight binding model, Commun. Math. Phys. 101, 21-46 (1985). | MR 87a:82047 | Zbl 0573.60096
, , and ,[FS] 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
and ,[HS] On the correlation for Kac-like models in the convex case, J. of Stat. Phys. (1994). | Zbl 0946.35508
and ,[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] 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
and ,[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] 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
and ,[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).
,