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Volumn 11, Issue 1, 2001, Pages 11-29

Multi-scale analysis implies strong dynamical localization

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EID: 0035634523     PISSN: 1016443X     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00001666     Document Type: Article
Times cited : (70)

References (32)
  • 1
    • 0001324593 scopus 로고
    • Localization at weak disorder: Some elementary bounds
    • M. AIZENMAN, Localization at weak disorder: Some elementary bounds, Rev. Math. Phys. 6 (1994), 1163-1182.
    • (1994) Rev. Math. Phys. , vol.6 , pp. 1163-1182
    • Aizenman, M.1
  • 2
    • 0032516668 scopus 로고    scopus 로고
    • Localization bounds for an electron gas
    • M. AIZENMAN, G.M. GRAF, Localization bounds for an electron gas, J. Phys. A: Math. Gen. 31 (1998), 6783-6806.
    • (1998) J. Phys. A: Math. Gen. , vol.31 , pp. 6783-6806
    • Aizenman, M.1    Graf, G.M.2
  • 3
    • 21344491724 scopus 로고
    • Localization at large disorder and at extreme energies: An elementary derivation
    • M. AIZENMAN, S. MOLCHANOV, Localization at large disorder and at extreme energies: An elementary derivation, Commun. Math. Phys. 157 (1993), 245-278.
    • (1993) Commun. Math. Phys. , vol.157 , pp. 245-278
    • Aizenman, M.1    Molchanov, S.2
  • 5
    • 24244444170 scopus 로고
    • Absence of diffusion in certain random lattices
    • P.W. ANDERSON, Absence of diffusion in certain random lattices, Phys. Rev. 109 (1958), 1492-1505.
    • (1958) Phys. Rev. , vol.109 , pp. 1492-1505
    • Anderson, P.W.1
  • 6
    • 0002271908 scopus 로고    scopus 로고
    • Localization near band edges for random Schrödinger operators
    • J.M. BARBAROUX, J.M. COMBES, P.D. HISLOP, Localization near band edges for random Schrödinger operators, Helv. Phys. Acta 70 (1997), 16-43.
    • (1997) Helv. Phys. Acta , vol.70 , pp. 16-43
    • Barbaroux, J.M.1    Combes, J.M.2    Hislop, P.D.3
  • 8
    • 0002362803 scopus 로고
    • Anderson localization for Bernoulli and other singular potentials
    • R. CARMONA, A. KLEIN, F. MARTINELLI, Anderson localization for Bernoulli and other singular potentials, Commun. Math. Phys. 108 (1987), 41-66.
    • (1987) Commun. Math. Phys. , vol.108 , pp. 41-66
    • Carmona, R.1    Klein, A.2    Martinelli, F.3
  • 9
    • 0001026869 scopus 로고
    • Localization for some continuous, random Hamiltonians in d-dimensions
    • J.M. COMBES, P.D. HISLOP Localization for some continuous, random Hamiltonians in d-dimensions, J. Funct. Anal. 124 (1994), 149-180.
    • (1994) J. Funct. Anal. , vol.124 , pp. 149-180
    • Combes, J.M.1    Hislop, P.D.2
  • 10
    • 0000059896 scopus 로고    scopus 로고
    • Landau Hamiltonians with random potentials: Localization and density of states
    • J.M. COMBES, P.D. HISLOP, Landau Hamiltonians with random potentials: Localization and density of states, Commun. Math. Phys. 177 (1996), 603-630.
    • (1996) Commun. Math. Phys. , vol.177 , pp. 603-630
    • Combes, J.M.1    Hislop, P.D.2
  • 11
    • 0000515551 scopus 로고
    • Localization in a single-band approximation to random Schrödinger operators in a magnetic field
    • T.C. DORLAS, N. MACRIS, J.V. PULÉ, Localization in a single-band approximation to random Schrödinger operators in a magnetic field, Helv. Phys. Acta 68 (1995), 329-364.
    • (1995) Helv. Phys. Acta , vol.68 , pp. 329-364
    • Dorlas, T.C.1    Macris, N.2    Pulé, J.V.3
  • 12
    • 0030532040 scopus 로고    scopus 로고
    • Localization in single Landau bands
    • T.C. DORLAS, N. MACRIS, J.V. PULÉ, Localization in single Landau bands, J. Math. Phys. 37:4 (1996), 1574-1595.
    • (1996) J. Math. Phys. , vol.37 , Issue.4 , pp. 1574-1595
    • Dorlas, T.C.1    Macris, N.2    Pulé, J.V.3
  • 13
    • 34249966896 scopus 로고
    • A new proof of localization in the Anderson tight binding model
    • H. VON DREIFUS, A. KLEIN, A new proof of localization in the Anderson tight binding model, Commun. Math. Phys. 124 (1989), 285-299.
    • (1989) Commun. Math. Phys. , vol.124 , pp. 285-299
    • Von Dreifus, H.1    Klein, A.2
  • 14
    • 21344494130 scopus 로고
    • Localization phenomenon in gaps of the spectrum of random lattice operators
    • A. FIGOTIN, A. KLEIN, Localization phenomenon in gaps of the spectrum of random lattice operators, J. Stat. Phys. 75 (1994), 997-1021.
    • (1994) J. Stat. Phys. , vol.75 , pp. 997-1021
    • Figotin, A.1    Klein, A.2
  • 15
    • 0030485972 scopus 로고    scopus 로고
    • Localization of classical waves, I: Acoustic waves
    • A. FIGOTIN, A. KLEIN, Localization of classical waves, I: Acoustic waves, Commun. Math. Phys. 180 (1996), 439-482.
    • (1996) Commun. Math. Phys. , vol.180 , pp. 439-482
    • Figotin, A.1    Klein, A.2
  • 16
    • 0002119217 scopus 로고
    • Constructive proof of localization in the Anderson tight binding model
    • J. FRÖHLICH, F. MARTINELLI, E. SCOPPOLA, T. SPENCER, Constructive proof of localization in the Anderson tight binding model, Commun. Math. Phys. 101 (1985), 21-46.
    • (1985) Commun. Math. Phys. , vol.101 , pp. 21-46
    • Fröhlich, J.1    Martinelli, F.2    Scoppola, E.3    Spencer, T.4
  • 17
    • 0000284780 scopus 로고
    • Absence of diffusion in the Anderson tight binding model for large disorder or low energy
    • J. FRÖHLICH, T. SPENCER, Absence of diffusion in the Anderson tight binding model for large disorder or low energy, Commun. Math. Phys. 88 (1983), 151-184.
    • (1983) Commun. Math. Phys. , vol.88 , pp. 151-184
    • Fröhlich, J.1    Spencer, T.2
  • 18
    • 0040163789 scopus 로고    scopus 로고
    • Dynamical localization for discrete and continuous random Schrödinger operators
    • F. GERMINET, S. DE BIÈVRE, Dynamical localization for discrete and continuous random Schrödinger operators, Commun. Math. Phys. 194 (1998), 323-341.
    • (1998) Commun. Math. Phys. , vol.194 , pp. 323-341
    • Germinet, F.1    De Bièvre, S.2
  • 21
    • 84868025903 scopus 로고    scopus 로고
    • Localization for random perturbations of periodic Schrödinger operators
    • W. KIRSCH, P. STOLLMANN, G. STOLZ, Localization for random perturbations of periodic Schrödinger operators, Random Oper. Stochastic Equations 6 (1998), 241-268.
    • (1998) Random Oper. Stochastic Equations , vol.6 , pp. 241-268
    • Kirsch, W.1    Stollmann, P.2    Stolz, G.3
  • 22
    • 0040350235 scopus 로고    scopus 로고
    • Anderson localization for random Schrödinger operators with long range interactions
    • W. KIRSCH, P. STOLLMANN, G. STOLZ, Anderson localization for random Schrödinger operators with long range interactions, Commun. Math. Phys. 195 (1998), 495-507.
    • (1998) Commun. Math. Phys. , vol.195 , pp. 495-507
    • Kirsch, W.1    Stollmann, P.2    Stolz, G.3
  • 23
    • 0034368999 scopus 로고    scopus 로고
    • Localization and Lifshitz tails for random quantum waveguides
    • F. KLEESPIES, P. STOLLMANN, Localization and Lifshitz tails for random quantum waveguides, Rev. Math. Phys. 12 (2000), 1345-1365.
    • (2000) Rev. Math. Phys. , vol.12 , pp. 1345-1365
    • Kleespies, F.1    Stollmann, P.2
  • 24
    • 21844521255 scopus 로고
    • Localization for some continuous random Schrödinger operators
    • F. KLOPP, Localization for some continuous random Schrödinger operators, Commun. Math. Phys. 167 (1995), 553-569.
    • (1995) Commun. Math. Phys. , vol.167 , pp. 553-569
    • Klopp, F.1
  • 25
    • 0033148063 scopus 로고    scopus 로고
    • Internal Lifshitz tails for random perturbations of periodic Schrödinger operators
    • F. KLOPP, Internal Lifshitz tails for random perturbations of periodic Schrödinger operators, Duke Math. J. 98:2 (1999), 335-396.
    • (1999) Duke Math. J. , vol.98 , Issue.2 , pp. 335-396
    • Klopp, F.1
  • 27
    • 0000280495 scopus 로고    scopus 로고
    • Operators with singular continuous spectrum, IV. Hausdorff dimensions, rank one perturbations, and localization
    • R. DEL RIO, S. JITOMIRSKAYA, Y. LAST, B. SIMON, Operators with singular continuous spectrum, IV. Hausdorff dimensions, rank one perturbations, and localization, J. d'Analyse Math. 69 (1996), 153-200.
    • (1996) J. D'analyse Math. , vol.69 , pp. 153-200
    • Del Rio, R.1    Jitomirskaya, S.2    Last, Y.3    Simon, B.4
  • 28
    • 0032411744 scopus 로고    scopus 로고
    • Localization for acoustic waves in random perturbations of periodic media
    • P. STOLLMANN, Localization for acoustic waves in random perturbations of periodic media, Israel J. Math. 107 (1998), 125-139.
    • (1998) Israel J. Math. , vol.107 , pp. 125-139
    • Stollmann, P.1
  • 29
    • 0034344396 scopus 로고    scopus 로고
    • Wegner estimates and localization for continuum Anderson models with some singular distributions
    • P. STOLLMANN, Wegner estimates and localization for continuum Anderson models with some singular distributions, Arch. Math., 75 (2000), 307-311.
    • (2000) Arch. Math. , vol.75 , pp. 307-311
    • Stollmann, P.1
  • 32
    • 0031142034 scopus 로고    scopus 로고
    • Microlocalization, percolation, and Anderson localization for the magnetic Schrödinger operator with a random potential
    • W.M. WANG, Microlocalization, percolation, and Anderson localization for the magnetic Schrödinger operator with a random potential, J. Funct. Anal. 146 (1997), 1-26.
    • (1997) J. Funct. Anal. , vol.146 , pp. 1-26
    • Wang, W.M.1


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