메뉴 건너뛰기




Volumn 5, Issue , 1999, Pages 1-16

Lower bounds on wave packet propagation by packing dimensions of spectral measures

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0003232182     PISSN: 10866655     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (33)

References (20)
  • 1
    • 0001684131 scopus 로고
    • A general form of the covering principle and relative differentiation of additive functions
    • Be
    • [Be] A. S. Besicovitch, A general form of the covering principle and relative differentiation of additive functions, Proc. Camb. Phil. Soc. 41, 103-110 (1945).
    • (1945) Proc. Camb. Phil. Soc. , vol.41 , pp. 103-110
    • Besicovitch, A.S.1
  • 2
    • 0031220833 scopus 로고    scopus 로고
    • [Co] edited by W.F.Ames, E.M.Harrel and I.V.Herod Academic, Boston
    • [Co] J.-M. Combes, in Differential Equations with applications to Mathematical Physics, edited by W.F.Ames, E.M.Harrel and I.V.Herod (Academic, Boston 1993); J.-M. Barbaroux, J.-M. Combes, R. Montcho, Remarks on the relation between quantum dynamics and fractal spectra, J. Math. Anal. and Appl. 213, 698-722 (1997).
    • (1993) Differential Equations with Applications to Mathematical Physics
    • Combes, J.-M.1
  • 3
    • 0031220833 scopus 로고    scopus 로고
    • Remarks on the relation between quantum dynamics and fractal spectra
    • [Co] J.-M. Combes, in Differential Equations with applications to Mathematical Physics, edited by W.F.Ames, E.M.Harrel and I.V.Herod (Academic, Boston 1993); J.-M. Barbaroux, J.-M. Combes, R. Montcho, Remarks on the relation between quantum dynamics and fractal spectra, J. Math. Anal. and Appl. 213, 698-722 (1997).
    • (1997) J. Math. Anal. and Appl. , vol.213 , pp. 698-722
    • Barbaroux, J.-M.1    Combes, J.-M.2    Montcho, R.3
  • 4
    • 0011046907 scopus 로고
    • Measure disintegrations with respect to σ-stable monotone indices and the pointwise representation of packing dimensions
    • [Cu] serie II
    • [Cu] C. D. Cutler, Measure disintegrations with respect to σ-stable monotone indices and the pointwise representation of packing dimensions, Supp. Rend. Circ. Mat. Palermo 28, serie II, 319-339 (1992).
    • (1992) Supp. Rend. Circ. Mat. Palermo , vol.28 , pp. 319-339
    • Cutler, C.D.1
  • 6
    • 84956097442 scopus 로고
    • Spectral properties of quantum diffusion on discrete lattices
    • G1
    • [G1] I. Guarneri, Spectral properties of quantum diffusion on discrete lattices, Europhys. Lett., 10, 95-100, (1989); On an estimate concerning quantum diffusion in the presence of a fractal spectrum, Europhys. Lett., 21, 729-733, (1993); and I. Guarneri, G. Mantica, On the asymptotic properties of quantum dynamics in the presence of fractal spectrum, Ann. Inst. H. Poincaré, 61, 369-379, (1994).
    • (1989) Europhys. Lett. , vol.10 , pp. 95-100
    • Guarneri, I.1
  • 7
    • 84956119636 scopus 로고
    • On an estimate concerning quantum diffusion in the presence of a fractal spectrum, Europhys
    • [G1] I. Guarneri, Spectral properties of quantum diffusion on discrete lattices, Europhys. Lett., 10, 95-100, (1989); On an estimate concerning quantum diffusion in the presence of a fractal spectrum, Europhys. Lett., 21, 729-733, (1993); and I. Guarneri, G. Mantica, On the asymptotic properties of quantum dynamics in the presence of fractal spectrum, Ann. Inst. H. Poincaré, 61, 369-379, (1994).
    • (1993) Lett. , vol.21 , pp. 729-733
  • 8
    • 84956097442 scopus 로고
    • On the asymptotic properties of quantum dynamics in the presence of fractal spectrum
    • G1
    • [G1] I. Guarneri, Spectral properties of quantum diffusion on discrete lattices, Europhys. Lett., 10, 95-100, (1989); On an estimate concerning quantum diffusion in the presence of a fractal spectrum, Europhys. Lett., 21, 729-733, (1993); and I. Guarneri, G. Mantica, On the asymptotic properties of quantum dynamics in the presence of fractal spectrum, Ann. Inst. H. Poincaré, 61, 369-379, (1994).
    • (1994) Ann. Inst. H. Poincaré , vol.61 , pp. 369-379
    • Guarneri, I.1    Mantica, G.2
  • 9
    • 0030494615 scopus 로고    scopus 로고
    • Singular continuous spectra and discrete wave packet dynamics
    • G2
    • [G2] I. Guarneri, Singular continuous spectra and discrete wave packet dynamics, J. Math. Phys. 37, 5195-5206, (1996).
    • (1996) J. Math. Phys. , vol.37 , pp. 5195-5206
    • Guarneri, I.1
  • 10
    • 0002353263 scopus 로고    scopus 로고
    • On the Dynamical Meaning of Spectral Dimensions
    • [G3] to appear
    • [G3] I. Guarneri, On the Dynamical Meaning of Spectral Dimensions, to appear in Ann. Inst. H. Poincaré, 1998.
    • (1998) Ann. Inst. H. Poincaré
    • Guarneri, I.1
  • 11
    • 0000167355 scopus 로고
    • Multifractal Energy Spectra and Their Dynamical Implications
    • GM
    • [GM] I. Guarneri, G. Mantica, Multifractal Energy Spectra and Their Dynamical Implications, Phys. Rev. Lett. 73, 3379-3383 (1994).
    • (1994) Phys. Rev. Lett. , vol.73 , pp. 3379-3383
    • Guarneri, I.1    Mantica, G.2
  • 13
    • 0000443928 scopus 로고    scopus 로고
    • What determines the spreading of a wave packet?
    • KKK
    • [KKK] R. Ketzmerick, K. Kruse, S. Kraut, T. Geisel, What determines the spreading of a wave packet?, Phys. Rev. Lett. 79, 1959-1962 (1997).
    • (1997) Phys. Rev. Lett. , vol.79 , pp. 1959-1962
    • Ketzmerick, R.1    Kruse, K.2    Kraut, S.3    Geisel, T.4
  • 14
    • 0030589769 scopus 로고    scopus 로고
    • Quantum dynamics and decomposition of singular continuous spectra
    • La
    • [La] Y. Last, Quantum dynamics and decomposition of singular continuous spectra, J. Funct. Analysis 142, 402-445 (1996).
    • (1996) J. Funct. Analysis , vol.142 , pp. 402-445
    • Last, Y.1
  • 15
    • 0000280495 scopus 로고    scopus 로고
    • Operators with singular continuous spectrum: IV. Hausdorff dimension, rank-one perturbations and localization
    • RJLS
    • [RJLS] R. del Rio, S. Jitomirskaya, Y. Last, B. Simon, Operators with singular continuous spectrum: IV. Hausdorff dimension, rank-one perturbations and localization, J. d'Analyse Math. 69, 153-200 (1996).
    • (1996) J. D'Analyse Math. , vol.69 , pp. 153-200
    • Del Rio, R.1    Jitomirskaya, S.2    Last, Y.3    Simon, B.4
  • 16
    • 0004122682 scopus 로고
    • [Ro] Cambridge University Press, Cambridge
    • [Ro] C. A. Rogers, Hausdorff measures, (Cambridge University Press, Cambridge, 1970).
    • (1970) Hausdorff Measures
    • Rogers, C.A.1
  • 17
    • 0032221727 scopus 로고    scopus 로고
    • Anomalous transport: A mathematical framework
    • SB
    • [SB] H. Schulz-Baldes, J. Bellissard, Anomalous transport: a mathematical framework, Rev. Math. Phys. 10, 1-46 (1998).
    • (1998) Rev. Math. Phys. , vol.10 , pp. 1-46
    • Schulz-Baldes, H.1    Bellissard, J.2
  • 18
    • 84966224394 scopus 로고
    • Packing measure and its evaluation for a Brownian path
    • TT
    • [TT] S. J. Taylor, C. Tricot, Packing measure and its evaluation for a Brownian path, Trans. Amer. Math. Soc. 288, 679-699 (1985); S. J. Taylor, C. Tricot, The packing measure of rectifiable subsets of the plane, Math. Proc. Camb. Phil. Soc. 99, 285-296 (1986).
    • (1985) Trans. Amer. Math. Soc. , vol.288 , pp. 679-699
    • Taylor, S.J.1    Tricot, C.2
  • 19
    • 84974132535 scopus 로고
    • The packing measure of rectifiable subsets of the plane
    • [TT] S. J. Taylor, C. Tricot, Packing measure and its evaluation for a Brownian path, Trans. Amer. Math. Soc. 288, 679-699 (1985); S. J. Taylor, C. Tricot, The packing measure of rectifiable subsets of the plane, Math. Proc. Camb. Phil. Soc. 99, 285-296 (1986).
    • (1986) Math. Proc. Camb. Phil. Soc. , vol.99 , pp. 285-296
    • Taylor, S.J.1    Tricot, C.2
  • 20
    • 84956256298 scopus 로고
    • Dimension, Entropy, and Lyapunov exponents
    • Yo
    • [Yo] L. S. Young, Dimension, Entropy, and Lyapunov exponents, Erg, Th. Dyn. Sys. 2, 109-124 (1982).
    • (1982) Erg, Th. Dyn. Sys. , vol.2 , pp. 109-124
    • Young, L.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.