-
1
-
-
33846875539
-
Spectral properties of one-dimensional quasicrystals
-
[BIST]
-
[BIST] J. Bellissard, B. Iochum, E. Scoppola and D. Testard, Spectral properties of one-dimensional quasicrystals, Comm. Math. Phys. 125 (1989), 527-543.
-
(1989)
Comm. Math. Phys.
, vol.125
, pp. 527-543
-
-
Bellissard, J.1
Iochum, B.2
Scoppola, E.3
Testard, D.4
-
2
-
-
0003316646
-
Expansions in eigenfunctions of selfadjoint operators
-
[B], Amer. Math. Soc., Providence, RI
-
[B] Yu. M. Berezanskiǐ, Expansions in Eigenfunctions of Selfadjoint Operators, Transl. Math. Monographs 17, Amer. Math. Soc., Providence, RI, 1968.
-
(1968)
Transl. Math. Monographs
, vol.17
-
-
Berezanskiǐ, Y.M.1
-
4
-
-
0013464506
-
Fractal dimensions and quantum evolution associated with sparse potential Jacobi matrices
-
[CM], Long Time Behaviour of Classical and Quantum Systems (Bologna, 1999), World Sci. Publishing, River Edge, NJ
-
[CM] J.-M. Combes and G. Mantica, Fractal dimensions and quantum evolution associated with sparse potential Jacobi matrices, in Long Time Behaviour of Classical and Quantum Systems (Bologna, 1999), Ser. Concr. Appl. Math. 1, World Sci. Publishing, River Edge, NJ, 2001, pp. 107-123.
-
(2001)
Ser. Concr. Appl. Math.
, vol.1
, pp. 107-123
-
-
Combes, J.-M.1
Mantica, G.2
-
5
-
-
0002380788
-
α-continuity properties of one-dimensional quasicrystals
-
[D]
-
[D] D. Damanik, α-continuity properties of one-dimensional quasicrystals, Comm. Math. Phys. 192 (1998), 169-182.
-
(1998)
Comm. Math. Phys.
, vol.192
, pp. 169-182
-
-
Damanik, D.1
-
6
-
-
12144251598
-
Half-line Schrödinger operators with no bound states
-
[DK]
-
[DK] D. Damanik and R. Killip, Half-line Schrödinger operators with no bound states, Acta Math. 193 (2004), 31-72.
-
(2004)
Acta Math.
, vol.193
, pp. 31-72
-
-
Damanik, D.1
Killip, R.2
-
7
-
-
0034349285
-
Uniform spectral properties of one-dimensional quasicrystals. III. α-continuity
-
[DKL]
-
[DKL] D. Damanik, R. Killip and D. Lenz, Uniform spectral properties of one-dimensional quasicrystals. III. α-continuity, Comm. Math. Phys. 212 (2000), 191-204.
-
(2000)
Comm. Math. Phys.
, vol.212
, pp. 191-204
-
-
Damanik, D.1
Killip, R.2
Lenz, D.3
-
8
-
-
0037790895
-
Log-dimensional spectral properties of one-dimensional quasicrystals
-
[DLa]
-
[DLa] D. Damanik and M. Landrigan, Log-dimensional spectral properties of one-dimensional quasicrystals, Proc. Amer. Math. Soc. 131 (2003), 2209-2216.
-
(2003)
Proc. Amer. Math. Soc.
, vol.131
, pp. 2209-2216
-
-
Damanik, D.1
Landrigan, M.2
-
9
-
-
0033475027
-
Uniform spectral properties of one-dimensional quasicrystals, I. Absence of eigenvalues
-
[DLe]
-
[DLe] D. Damanik and D. Lenz, Uniform spectral properties of one-dimensional quasicrystals, I. Absence of eigenvalues, Comm. Math. Phys. 207 (1999), 687-696.
-
(1999)
Comm. Math. Phys.
, vol.207
, pp. 687-696
-
-
Damanik, D.1
Lenz, D.2
-
10
-
-
4344640996
-
Power-law bounds on transfer matrices and quantum dynamics in one dimension II
-
[DST]
-
[DST] D. Damanik, A. Sütö and S. Tcheremchantsev, Power-law bounds on transfer matrices and quantum dynamics in one dimension II., J. Funct. Anal. 216 (2004), 362-387.
-
(2004)
J. Funct. Anal.
, vol.216
, pp. 362-387
-
-
Damanik, D.1
Sütö, A.2
Tcheremchantsev, S.3
-
11
-
-
0038239329
-
Power-law bounds on transfer matrices and quantum dynamics in one dimension
-
[DT]
-
[DT] D. Damanik and S. Tcheremchantsev, Power-law bounds on transfer matrices and quantum dynamics in one dimension, Comm. Math. Phys. 236 (2003), 513-534.
-
(2003)
Comm. Math. Phys.
, vol.236
, pp. 513-534
-
-
Damanik, D.1
Tcheremchantsev, S.2
-
12
-
-
4644334752
-
Transfer matrices and transport for Schrödinger operators
-
[GKT]
-
[GKT] F. Germinet, A. Kiselev and S. Tcheremchantsev, Transfer matrices and transport for Schrödinger operators, Ann. Inst. Fourier 54 (2004), 787-830.
-
(2004)
Ann. Inst. Fourier
, vol.54
, pp. 787-830
-
-
Germinet, F.1
Kiselev, A.2
Tcheremchantsev, S.3
-
13
-
-
0002280835
-
On subordinacy and analysis of the spectrum of one-dimensional Schrödinger operators
-
[GP]
-
[GP] D. J. Gilbert and D. B. Pearson, On subordinacy and analysis of the spectrum of one-dimensional Schrödinger operators, J. Math. Anal. Appl. 128 (1987), 30-56.
-
(1987)
J. Math. Anal. Appl.
, vol.128
, pp. 30-56
-
-
Gilbert, D.J.1
Pearson, D.B.2
-
14
-
-
0001074871
-
Resistance of one-dimensional quasicrystals
-
[IRT]
-
[IRT] B. Iochum, L. Raymond and D. Testard, Resistance of one-dimensional quasicrystals, Physica A 187 (1992), 353-368.
-
(1992)
Physica A
, vol.187
, pp. 353-368
-
-
Iochum, B.1
Raymond, L.2
Testard, D.3
-
15
-
-
0001666109
-
Power-law subordinacy and singular spectra. I. Half-line operators
-
[JL1]
-
[JL1] S. Jitomirskaya and Y. Last, Power-law subordinacy and singular spectra. I. Half-line operators, Acta Math. 183 (1999), 171-189.
-
(1999)
Acta Math.
, vol.183
, pp. 171-189
-
-
Jitomirskaya, S.1
Last, Y.2
-
16
-
-
0034348973
-
Power-law subordinacy and singular spectra. II. Line operators
-
[JL2]
-
[JL2] S. Jitomirskaya and Y. Last, Power-law subordinacy and singular spectra. II. Line operators, Comm. Math. Phys. 211 (2000), 643-658.
-
(2000)
Comm. Math. Phys.
, vol.211
, pp. 643-658
-
-
Jitomirskaya, S.1
Last, Y.2
-
18
-
-
0141541804
-
Dynamical upper bounds on wavepacket spreading
-
[KKL]
-
[KKL] R. Killip, A. Kiselev and Y. Last, Dynamical upper bounds on wavepacket spreading, Amer. J. Math. 125 (2003), 1165-1198.
-
(2003)
Amer. J. Math.
, vol.125
, pp. 1165-1198
-
-
Killip, R.1
Kiselev, A.2
Last, Y.3
-
19
-
-
0037455848
-
Stability of singular spectral types under decaying perturbations
-
[KLS]
-
[KLS] A. Kiselev, Y. Last and B. Simon, Stability of singular spectral types under decaying perturbations, J. Funct. Anal. 198 (2003), 1-27.
-
(2003)
J. Funct. Anal.
, vol.198
, pp. 1-27
-
-
Kiselev, A.1
Last, Y.2
Simon, B.3
-
22
-
-
0032367056
-
The absolutely continuous spectrum of one-dimensional Schrödinger operators with decaying potentials
-
[R]
-
[R] C. Remling, The absolutely continuous spectrum of one-dimensional Schrödinger operators with decaying potentials, Comm. Math. Phys. 193 (1998), 151-170.
-
(1998)
Comm. Math. Phys.
, vol.193
, pp. 151-170
-
-
Remling, C.1
-
23
-
-
85016600983
-
Schrödinger semigroups
-
[Si1]
-
[Si1] B. Simon, Schrödinger semigroups, Bull. Amer. Math. Soc. 7 (1982), 447-526.
-
(1982)
Bull. Amer. Math. Soc.
, vol.7
, pp. 447-526
-
-
Simon, B.1
-
24
-
-
21444433761
-
Bounded eigenfunctions and absolutely continuous spectra for one-dimensional Schrödinger operators
-
[Si2]
-
[Si2] B. Simon, Bounded eigenfunctions and absolutely continuous spectra for one-dimensional Schrödinger operators, Proc. Amer. Math. Soc. 124 (1996), 3361-3369.
-
(1996)
Proc. Amer. Math. Soc.
, vol.124
, pp. 3361-3369
-
-
Simon, B.1
-
25
-
-
34250103530
-
The spectrum of a quasiperiodic Schrödinger operator
-
[Sü]
-
[Sü] A. Sütö, The spectrum of a quasiperiodic Schrödinger operator, Comm. Math. Phys. 111 (1987), 409-415.
-
(1987)
Comm. Math. Phys.
, vol.111
, pp. 409-415
-
-
Sütö, A.1
-
26
-
-
0037428622
-
Mixed lower bounds for quantum transport
-
[T1]
-
[T1] S. Tcheremchantsev, Mixed lower bounds for quantum transport, J. Funct. Anal. 197 (2003), 247-282.
-
(2003)
J. Funct. Anal.
, vol.197
, pp. 247-282
-
-
Tcheremchantsev, S.1
-
27
-
-
11244292158
-
Dynamical analysis of Schrödinger operators with growing sparse potentials
-
[T2]
-
[T2] S. Tcheremchantsev, Dynamical analysis of Schrödinger operators with growing sparse potentials, Comm. Math. Phys. 253 (2005), 221-252.
-
(2005)
Comm. Math. Phys.
, vol.253
, pp. 221-252
-
-
Tcheremchantsev, S.1
-
28
-
-
1642560621
-
Sparse potentials with fractional Hausdorff dimension
-
[Z]
-
[Z] A. Zlatoš, Sparse potentials with fractional Hausdorff dimension, J. Funct. Anal. 207 (2004), 216-252.
-
(2004)
J. Funct. Anal.
, vol.207
, pp. 216-252
-
-
Zlatoš, A.1
|