-
1
-
-
21144468416
-
Analyticity of the density of states in the Anderson model on the Bethe lattice
-
Acosta, V., Klein, A.: Analyticity of the density of states in the Anderson model on the Bethe lattice. J. Statist. Phys. 69, 277-305 (1992)
-
(1992)
J. Statist. Phys
, vol.69
, pp. 277-305
-
-
Acosta, V.1
Klein, A.2
-
2
-
-
51249162086
-
Density of states in spectral geometry
-
Adachi, T., Sunada, T.: Density of states in spectral geometry. Comment. Math. Helv. 68, 480-493 (1993)
-
(1993)
Comment. Math. Helv
, vol.68
, pp. 480-493
-
-
Adachi, T.1
Sunada, T.2
-
3
-
-
21344491724
-
Localization at large disorder and at extreme energies: An elementary derivation
-
Aizenman, M., Molchanov, S.: Localization at large disorder and at extreme energies: an elementary derivation. Comm. Math. Phys. 157, 245-278 (1993)
-
(1993)
Comm. Math. Phys
, vol.157
, pp. 245-278
-
-
Aizenman, M.1
Molchanov, S.2
-
4
-
-
0001324593
-
Localization at weak disorder: Some elementary bounds
-
Aizenman, M.: Localization at weak disorder: some elementary bounds. Rev. Math. Phys. 6, 1163-1182 (1994)
-
(1994)
Rev. Math. Phys
, vol.6
, pp. 1163-1182
-
-
Aizenman, M.1
-
5
-
-
33747884265
-
Stability of the absolutely continuous spectrum of random Schrödinger operators on tree graphs
-
Aizenman, M., Sims, R., Warzel, S.: Stability of the absolutely continuous spectrum of random Schrödinger operators on tree graphs. Probab. Theory Related Fields 136, 363-394 (2006)
-
(2006)
Probab. Theory Related Fields
, vol.136
, pp. 363-394
-
-
Aizenman, M.1
Sims, R.2
Warzel, S.3
-
6
-
-
33645979029
-
Absolutely continuous spectra of quantum tree graphs with weak disorder
-
Aizenman, M., Sims, R., Warzel, S.: Absolutely continuous spectra of quantum tree graphs with weak disorder. Comm. Math. Phys. 264, 371-389 (2006)
-
(2006)
Comm. Math. Phys
, vol.264
, pp. 371-389
-
-
Aizenman, M.1
Sims, R.2
Warzel, S.3
-
7
-
-
0034555445
-
A Mourre estimate for a Schrödinger operator on a binary tree
-
Allard, C., Froese, R.: A Mourre estimate for a Schrödinger operator on a binary tree. Rev. Math. Phys. 12, 1655-1667 (2000)
-
(2000)
Rev. Math. Phys
, vol.12
, pp. 1655-1667
-
-
Allard, C.1
Froese, R.2
-
8
-
-
0001258717
-
Repulsion of energy levels and conductivity of metal samples
-
Altshuler, B., Shklovski, B.I.: Repulsion of energy levels and conductivity of metal samples. Sov. Phys. JETP 64, 127-135 (1986)
-
(1986)
Sov. Phys. JETP
, vol.64
, pp. 127-135
-
-
Altshuler, B.1
Shklovski, B.I.2
-
9
-
-
0035532622
-
Random incidence matrices: Moments of the spectral density
-
Bauer, M., Golinelli, O.: Random incidence matrices: moments of the spectral density. J. Statist. Phys. 103, 301-337 (2000)
-
(2000)
J. Statist. Phys
, vol.103
, pp. 301-337
-
-
Bauer, M.1
Golinelli, O.2
-
11
-
-
0042181128
-
On the comparison of transcendentals, with certain application to the theory of definite integrals
-
Boole, G.: On the comparison of transcendentals, with certain application to the theory of definite integrals. Philos. Trans. Roy. Soc. London Ser. A 147, 780 (1857)
-
(1857)
Philos. Trans. Roy. Soc. London Ser. A
, vol.147
, pp. 780
-
-
Boole, G.1
-
12
-
-
34249738369
-
-
Breuer, J.: Singular continuous and dense point spectrum for sparse trees with finite dimensions. Available at math.SP/0608159 (2006)
-
Breuer, J.: Singular continuous and dense point spectrum for sparse trees with finite dimensions. Available at math.SP/0608159 (2006)
-
-
-
-
13
-
-
0002362803
-
Anderson localization for Bernoulli and other singular potentials
-
Carmona, R., Klein, A., Martinelli, F.: Anderson localization for Bernoulli and other singular potentials. Comm. Math. Phys. 108, 41-66 (1987)
-
(1987)
Comm. Math. Phys
, vol.108
, pp. 41-66
-
-
Carmona, R.1
Klein, A.2
Martinelli, F.3
-
15
-
-
34249723533
-
-
del Rio, R., Simon, B., Stolz, G.: Stability of spectral types for Sturm-Liouville operators. Math. Res. Lett. 1, 437-.450 (1994)
-
del Rio, R., Simon, B., Stolz, G.: Stability of spectral types for Sturm-Liouville operators. Math. Res. Lett. 1, 437-.450 (1994)
-
-
-
-
16
-
-
0001067228
-
Appearance of purely singular continuous spectrum in a class of random Schrödinger operators
-
Delyon, F.: Appearance of purely singular continuous spectrum in a class of random Schrödinger operators. J. Statist. Phys. 40, 621-630 (1985)
-
(1985)
J. Statist. Phys
, vol.40
, pp. 621-630
-
-
Delyon, F.1
-
17
-
-
36149045549
-
One-dimensional wave equations in disordered media
-
Delyon, F., Kunz, H., Souillard, B.: One-dimensional wave equations in disordered media. J. Phys. A, Math. Gen. 16, 25-42 (1983)
-
(1983)
J. Phys. A, Math. Gen
, vol.16
, pp. 25-42
-
-
Delyon, F.1
Kunz, H.2
Souillard, B.3
-
18
-
-
0036386544
-
The spectral measure of certain elements of the complex group ring of a wreath product
-
Dicks, W., Schick, T.: The spectral measure of certain elements of the complex group ring of a wreath product. Geom. Dedicata 93, 121-134 (2001)
-
(2001)
Geom. Dedicata
, vol.93
, pp. 121-134
-
-
Dicks, W.1
Schick, T.2
-
20
-
-
0003072651
-
Spectral density singularities, level statistics, and localization in a sparse random matrix ensemble
-
Evangelou, S.N., Economou, E.N.: Spectral density singularities, level statistics, and localization in a sparse random matrix ensemble. Phys. Rev. Lett. 68, 361-364 (1992)
-
(1992)
Phys. Rev. Lett
, vol.68
, pp. 361-364
-
-
Evangelou, S.N.1
Economou, E.N.2
-
21
-
-
21144466780
-
A numerical study of sparse random matrices
-
Evangelou, S.N.: A numerical study of sparse random matrices. J. Statist. Phys. 69, 361-364 (1992)
-
(1992)
J. Statist. Phys
, vol.69
, pp. 361-364
-
-
Evangelou, S.N.1
-
23
-
-
33751082634
-
Absolutely continuous spectrum for the Anderson model on a tree: A geometric proof of Klein's theorem
-
Froese, R., Hasler, D., Spitzer, W.: Absolutely continuous spectrum for the Anderson model on a tree: a geometric proof of Klein's theorem. Comm. Math. Phys. 269, 239-257 (2007)
-
(2007)
Comm. Math. Phys
, vol.269
, pp. 239-257
-
-
Froese, R.1
Hasler, D.2
Spitzer, W.3
-
24
-
-
34249739465
-
-
Graf, G.M., Vaghi, A.: A remark on an estimate by Minami. Available at math-ph/0604033 (2006).
-
Graf, G.M., Vaghi, A.: A remark on an estimate by Minami. Available at math-ph/0604033 (2006).
-
-
-
-
25
-
-
0003231591
-
The lamplighter group as a group generated by a 2-state automaton and its spectrum
-
Grigorchuk, R.I., Zuk, A.: The lamplighter group as a group generated by a 2-state automaton and its spectrum. Geom. Dedicata 87, 209-244 (2001)
-
(2001)
Geom. Dedicata
, vol.87
, pp. 209-244
-
-
Grigorchuk, R.I.1
Zuk, A.2
-
26
-
-
0242353284
-
Eigenvalue spacing for regular graphs
-
Hejhal D.A. et al, eds, Spinger, Berlin
-
Jacobson, D., Miller, S.D., Rivin, I., Rudnick, Z.: Eigenvalue spacing for regular graphs. In: Hejhal D.A. et al. (eds.), Emerging Applications in Number Theory. Spinger, Berlin (1999)
-
(1999)
Emerging Applications in Number Theory
-
-
Jacobson, D.1
Miller, S.D.2
Rivin, I.3
Rudnick, Z.4
-
28
-
-
33747889674
-
The Anderson metal-insulator transition on the Bethe lattice
-
Iagolnitzer, D, ed, Paris, France, July 18-23, International Press, Cambridge, MA
-
Klein, A.: The Anderson metal-insulator transition on the Bethe lattice. In: Iagolnitzer, D. (ed.), Proceedings of the XIth International Congress on Mathematical Physics, Paris, France, July 18-23, 1994. International Press, Cambridge, MA (1995)
-
(1994)
Proceedings of the XIth International Congress on Mathematical Physics
-
-
Klein, A.1
-
29
-
-
0000120387
-
Extended states in the Anderson model on the Bethe lattice
-
Klein, A.: Extended states in the Anderson model on the Bethe lattice. Adv. Math. 133, 163-184 (1998)
-
(1998)
Adv. Math
, vol.133
, pp. 163-184
-
-
Klein, A.1
-
30
-
-
0001097161
-
Sur le spectre des operateurs aux difference finies aleatoire
-
Kunz, H., Souillard, B.: Sur le spectre des operateurs aux difference finies aleatoire. Comm. Math. Phys. 78, 201-246 (1980)
-
(1980)
Comm. Math. Phys
, vol.78
, pp. 201-246
-
-
Kunz, H.1
Souillard, B.2
-
31
-
-
0347963946
-
Periodic orbit theory and spectral statistics for quantum graphs
-
Kottos, T., Smilansky, U.: Periodic orbit theory and spectral statistics for quantum graphs. Ann. Physics 274, 76-124 (1999)
-
(1999)
Ann. Physics
, vol.274
, pp. 76-124
-
-
Kottos, T.1
Smilansky, U.2
-
32
-
-
34249766319
-
Weak disorder expansion for the Anderson model on a tree
-
Miller, J.D., Derrida, B.: Weak disorder expansion for the Anderson model on a tree. J. Statist. Phys. 75, 357-388 (1993)
-
(1993)
J. Statist. Phys
, vol.75
, pp. 357-388
-
-
Miller, J.D.1
Derrida, B.2
-
33
-
-
0030553788
-
Local fluctuation of the spectrum of a multidimensional Anderson tight binding model
-
Minami, N.: Local fluctuation of the spectrum of a multidimensional Anderson tight binding model. Comm. Math. Phys. 177, 709-725 (1996)
-
(1996)
Comm. Math. Phys
, vol.177
, pp. 709-725
-
-
Minami, N.1
-
34
-
-
36149035179
-
Universality of the level correlation function of sparse random matrices
-
Mirlin, A.D., Fyodorov, Y.V.: Universality of the level correlation function of sparse random matrices. J. Phys. A, Math. Gen. 24, 2273-2286 (1991)
-
(1991)
J. Phys. A, Math. Gen
, vol.24
, pp. 2273-2286
-
-
Mirlin, A.D.1
Fyodorov, Y.V.2
-
35
-
-
5544291378
-
The local structure of the spectrum of the one-dimensional Schrödinger operator
-
Molchanov, S.A.: The local structure of the spectrum of the one-dimensional Schrödinger operator. Comm. Math. Phys. 78, 429-446 (1981)
-
(1981)
Comm. Math. Phys
, vol.78
, pp. 429-446
-
-
Molchanov, S.A.1
-
37
-
-
21344446681
-
-
Simon, B.: Operators with singular continuous spectrum, IV: Graph Laplacians and Laplace-Beltrami operators. Proc. Amer. Math. Soc. 124, 1177-1182 (1996)
-
Simon, B.: Operators with singular continuous spectrum, IV: Graph Laplacians and Laplace-Beltrami operators. Proc. Amer. Math. Soc. 124, 1177-1182 (1996)
-
-
-
-
38
-
-
84990576488
-
Singular continuous spectrum under rank one perturbations and localization for random Hamiltonians
-
Simon, B., Wolff, T.: Singular continuous spectrum under rank one perturbations and localization for random Hamiltonians. Comm. Pure Appl. Math. 39, 75-90 (1986)
-
(1986)
Comm. Pure Appl. Math
, vol.39
, pp. 75-90
-
-
Simon, B.1
Wolff, T.2
-
39
-
-
0001664226
-
Statistics of spectra of disordered systems near the metal-insulator transition
-
Shklovskii, B.I., Shapiro, B., Sears, B.R., Lambrianides, P., Shore, H.B.: Statistics of spectra of disordered systems near the metal-insulator transition. Phys. Rev. B 47, 11487-11490 (1993)
-
(1993)
Phys. Rev. B
, vol.47
, pp. 11487-11490
-
-
Shklovskii, B.I.1
Shapiro, B.2
Sears, B.R.3
Lambrianides, P.4
Shore, H.B.5
-
41
-
-
84990582138
-
Lifshitz tail and Wiener sausage on hyperbolic space
-
Sznitman, A.-S.: Lifshitz tail and Wiener sausage on hyperbolic space. Comm. Pure Appl. Math. 17, 1033-1065 (1989)
-
(1989)
Comm. Pure Appl. Math
, vol.17
, pp. 1033-1065
-
-
Sznitman, A.-S.1
-
42
-
-
84990627117
-
Lifshitz tail on hyperbolic space: Neumann conditions
-
Sznitman, A.-S.: Lifshitz tail on hyperbolic space: Neumann conditions. Comm. Pure Appl. Math. 18, 1-30 (1990)
-
(1990)
Comm. Pure Appl. Math
, vol.18
, pp. 1-30
-
-
Sznitman, A.-S.1
-
43
-
-
0002037112
-
Bounds on the density of states in disordered systems
-
Wegner, F.: Bounds on the density of states in disordered systems. Z. Phys. B 44, 9-15 (1981)
-
(1981)
Z. Phys. B
, vol.44
, pp. 9-15
-
-
Wegner, F.1
-
44
-
-
0005282985
-
Random walks on infinite graphs and groups
-
Cambridge University Press, Cambridge
-
Woess, W.: Random walks on infinite graphs and groups. In: Cambridge Tracts in Mathematics, vol. 138. Cambridge University Press, Cambridge (2000)
-
(2000)
Cambridge Tracts in Mathematics
, vol.138
-
-
Woess, W.1
|