-
1
-
-
33749356721
-
Reducibility or nonuniform hyperbolicity for quasiperi- odic Schrödinger cocycles
-
A. Avila and R. Krikorian, Reducibility or nonuniform hyperbolicity for quasiperiodic Schrödinger cocycles, Ann. of Math. 164 (2006), 911-940.
-
(2006)
Ann. of Math.
, vol.164
, pp. 911-940
-
-
Avila, A.1
Krikorian, R.2
-
2
-
-
0001539982
-
On the measure of the spectrum for the almost Mathieu operator
-
J. Avron, P. H. M. Van Mouche, and B. Simon, On the measure of the spectrum for the almost Mathieu operator, Comm. Math. Phys. 132 (1990), 103-118.
-
(1990)
Comm. Math. Phys.
, vol.132
, pp. 103-118
-
-
Avron, J.1
Van Mouche, P.H.M.2
Simon, B.3
-
3
-
-
84972566320
-
Almost periodic Schrödinger operators. II: The integrated density of states
-
J. Avron and B. Simon, Almost periodic Schrödinger operators. II: The integrated density of states, Duke Math. J. 50 (1983), 369-391.
-
(1983)
Duke Math. J.
, vol.50
, pp. 369-391
-
-
Avron, J.1
Simon, B.2
-
4
-
-
0000653017
-
Energy spectrum of a conduction electron in a magnetic field
-
M. Y. Azbel, Energy spectrum of a conduction electron in a magnetic field, Sov. Phys. JETP 19 (1964), 634-645.
-
(1964)
Sov. Phys. JETP
, vol.19
, pp. 634-645
-
-
Azbel, M.Y.1
-
5
-
-
0000407064
-
Cantor spectrum for the almost Mathieu equation
-
J. Béllissard and B. Simon, Cantor spectrum for the almost Mathieu equation, J. Funct. Anal. 48 (1982), 408-419.
-
(1982)
J. Funct. Anal.
, vol.48
, pp. 408-419
-
-
Béllissard, J.1
Simon, B.2
-
6
-
-
0003316646
-
Expansions in Eigenfunctions of Selfadjoint Operators
-
Amer. Math. Soc., Providence, R.I
-
J. M. Berezans'kiǐ, Expansions in Eigenfunctions of Selfadjoint Operators, Transl. Math. Monogr. 17, Amer. Math. Soc., Providence, R.I., 1968.
-
(1968)
Transl. Math. Monogr
, pp. 17
-
-
Berezans'kiǐ, J.M.1
-
7
-
-
0141450327
-
Continuity of the Lyapunov exponent for quasiperiodic operators with analytic potential
-
J. Bourgain and S. Jitomirskaya, Continuity of the Lyapunov exponent for quasiperiodic operators with analytic potential, J. Statist. Phys. 108 (2002), 1203-1218.
-
(2002)
J. Statist. Phys.
, vol.108
, pp. 1203-1218
-
-
Bourgain, J.1
Jitomirskaya, S.2
-
8
-
-
0001391870
-
Gauss polynomials and the rotation algebra
-
M. D. Choi, G. A. Elliott, and N. Yui, Gauss polynomials and the rotation algebra, Invent. Math. 99 (1990), 225-246.
-
(1990)
Invent. Math.
, vol.99
, pp. 225-246
-
-
Choi, M.D.1
Elliott, G.A.2
Yui, N.3
-
10
-
-
0031521310
-
On the multiplicative ergodic theorem for uniquely ergodic systems
-
A. Furman, On the multiplicative ergodic theorem for uniquely ergodic systems, Ann. Inst. H. Poincaré Probab. Statist. 33 (1997), 797-815.
-
(1997)
Ann. Inst. H. Poincaré Probab. Statist.
, vol.33
, pp. 797-815
-
-
Furman, A.1
-
11
-
-
0002330387
-
Semiclassical analysis for Harper's equation. III: Cantor structure of the spectrum
-
B. Helffer and J. Sjöstrand, Semiclassical analysis for Harper's equation. III: Cantor structure of the spectrum, Mém. Soc. Math. France (1989), 1-124.
-
(1989)
Mém. Soc. Math. France
, pp. 1-124
-
-
Helffer, B.1
Sjöstrand, J.2
-
12
-
-
51249181642
-
Une méthode pour minorer les exposants de Lyapounov et quelques exemples montrant le caractère local d'un théorème d'Arnol'd et de Moser sur le tore de dimension 2
-
M.-R. Herman, Une méthode pour minorer les exposants de Lyapounov et quelques exemples montrant le caractère local d'un théorème d'Arnol'd et de Moser sur le tore de dimension 2, Comment. Math. Helv. 58 (1983), 453-502.
-
(1983)
Comment. Math. Helv.
, vol.58
, pp. 453-502
-
-
Herman, M.-R.1
-
14
-
-
15244348930
-
Localization for a family of one-dimensional quasiperiodic operators of magnetic origin
-
S. Jitomirskaya, D. A. Koslover, and M. S. Schulteis, Localization for a family of one-dimensional quasiperiodic operators of magnetic origin, Ann. Henri Poincaré 6 (2005), 103-124.
-
(2005)
Ann. Henri Poincaré
, vol.6
, pp. 103-124
-
-
Jitomirskaya, S.1
Koslover, D.A.2
Schulteis, M.S.3
-
15
-
-
0036662124
-
Continuity of the measure of the spectrum for discrete quasiperiodic operators
-
S. Y. Jitomirskaya and I. V. Krasovsky, Continuity of the measure of the spectrum for discrete quasiperiodic operators, Math. Res. Lett. 9 (2002), 413-421.
-
(2002)
Math. Res. Lett.
, vol.9
, pp. 413-421
-
-
Jitomirskaya, S.Y.1
Krasovsky, I.V.2
-
16
-
-
0033235963
-
Metal-insulator transition for the almost Mathieu operator
-
S. Y. Jitomirskaya, Metal-insulator transition for the almost Mathieu operator, Ann. of Math. 150 (1999), 1159-1175.
-
(1999)
Ann. of Math.
, vol.150
, pp. 1159-1175
-
-
Jitomirskaya, S.Y.1
-
17
-
-
0000423029
-
The rotation number for almost periodic potentials
-
R. Johnson and J. Moser, The rotation number for almost periodic potentials, Comm. Math. Phys. 84 (1982), 403-438.
-
(1982)
Comm. Math. Phys.
, vol.84
, pp. 403-438
-
-
Johnson, R.1
Moser, J.2
-
18
-
-
33847667155
-
Zero measure spectrum for the almost Mathieu operator
-
Y. Last, Zero measure spectrum for the almost Mathieu operator, Comm. Math. Phys. 164 (1994), 421-432.
-
(1994)
Comm. Math. Phys.
, vol.164
, pp. 421-432
-
-
Last, Y.1
-
19
-
-
33845315782
-
Spectral theory of Sturm-Liouville operators on infinite intervals: A review of recent developments
-
(W. O. Amrein, A. M. Hinz, and D. B. Pearson, eds.), Birkhäuser, Basel
-
Y. Last, Spectral theory of Sturm-Liouville operators on infinite intervals: A review of recent developments, in Sturm-Liouville Theory (W. O. Amrein, A. M. Hinz, and D. B. Pearson, eds.), Birkhäuser, Basel, 2005, pp. 99-120.
-
(2005)
Sturm-Liouville Theory
, pp. 99-120
-
-
Last, Y.1
-
20
-
-
0842346768
-
Cantor spectrum for the almost Mathieu operator
-
J. Puig, Cantor spectrum for the almost Mathieu operator, Comm. Math. Phys. 244 (2004), 297-309.
-
(2004)
Comm. Math. Phys.
, vol.244
, pp. 297-309
-
-
Puig, J.1
-
21
-
-
0000451964
-
Kotani theory for one-dimensional stochastic Jacobi matrices
-
B. Simon, Kotani theory for one-dimensional stochastic Jacobi matrices, Comm. Math. Phys. 89 (1983), 227-234.
-
(1983)
Comm. Math. Phys.
, vol.89
, pp. 227-234
-
-
Simon, B.1
-
22
-
-
0003273202
-
Schrödinger operators in the twenty-first century
-
(A. Fokas, A. Grigoryan, T. Kibble, and B. Zegarlinski, eds.), Imp. Coll. Press, London, 2000
-
B. Simon, Schrödinger operators in the twenty-first century, in Mathematical Physics 2000 (A. Fokas, A. Grigoryan, T. Kibble, and B. Zegarlinski, eds.), Imp. Coll. Press, London, 2000, pp. 283-288.
-
(2000)
Mathematical Physics
, pp. 283-288
-
-
Simon, B.1
-
23
-
-
0000763917
-
Anderson localization for one-dimensional difference Schrödinger operator with quasiperiodic potential
-
Y. G. Sinaǐ, Anderson localization for one-dimensional difference Schrödinger operator with quasiperiodic potential, J. Statist. Phys. 46 (1987), 861-909.
-
(1987)
J. Statist. Phys.
, vol.46
, pp. 861-909
-
-
Sinaǐ, Y.G.1
-
24
-
-
0002660412
-
The coexistence problem for the discrete Mathieu operator
-
P. Van Mouche, The coexistence problem for the discrete Mathieu operator, Comm. Math. Phys. 122 (1989), 23-33.
-
(1989)
Comm. Math. Phys.
, vol.122
, pp. 23-33
-
-
Van Mouche, P.1
|