Pure Point Dynamical and Diffraction Spectra

被引:0
|
作者
J.-Y. Lee
R. V. Moody
B. Solomyak
机构
[1] Department of Mathematical and Statistical Sciences,
[2] University of Alberta,undefined
[3] Edmonton,undefined
[4] Alberta T6G 2G1,undefined
[5] Canada,undefined
[6] ¶ e-mail: jlee@sirius1.math.ualberta.ca¶ e-mail: rmoody@ualberta.ca,undefined
[7] Department of Mathematics,undefined
[8] University of Washington,undefined
[9] Seattle,undefined
[10] WA 98195,undefined
[11] USA,undefined
[12] ¶ e-mail: solomyak@math.washington.edu,undefined
来源
Annales Henri Poincaré | 2002年 / 3卷
关键词
Dynamical Spectrum; Diffraction Spectrum; Local Complexity; Pure Point; Point Dynamical;
D O I
暂无
中图分类号
学科分类号
摘要
We show that for multi-colored Delone point sets with finite local complexity and uniform cluster frequencies the notions of pure point diffraction and pure point dynamical spectrum are equivalent.
引用
收藏
页码:1003 / 1018
页数:15
相关论文
共 50 条
  • [1] Pure point dynamical and diffraction spectra
    Lee, JY
    Moody, RV
    Solomyak, B
    ANNALES HENRI POINCARE, 2002, 3 (05): : 1003 - 1018
  • [2] Dynamical systems on translation bounded measures: pure point dynamical and diffraction spectra
    Baake, M
    Lenz, D
    ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2004, 24 : 1867 - 1893
  • [3] Deformation of Delone Dynamical Systems and Pure Point Diffraction
    Michael Baake
    Daniel Lenz
    Journal of Fourier Analysis and Applications, 2005, 11 : 125 - 150
  • [4] Extinctions and Correlations for Uniformly Discrete Point Processes with Pure Point Dynamical Spectra
    Lenz, Daniel
    Moody, Robert V.
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2009, 289 (03) : 907 - 923
  • [5] Extinctions and Correlations for Uniformly Discrete Point Processes with Pure Point Dynamical Spectra
    Daniel Lenz
    Robert V. Moody
    Communications in Mathematical Physics, 2009, 289 : 907 - 923
  • [6] MOSSBAUER TRANSMISSION SPECTRA AT PURE NUCLEAR DYNAMICAL DIFFRACTION IN BRAGG GEOMETRY
    VANBURCK, U
    MAURUS, HJ
    SMIRNOV, GV
    MOSSBAUER, RL
    JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1984, 17 (11): : 2003 - 2010
  • [7] Consequences of Pure Point Diffraction Spectra for Multiset Substitution Systems
    Discrete & Computational Geometry, 2003, 29 : 525 - 560
  • [8] Consequences of pure point diffraction spectra for multiset substitution systems
    Lee, JY
    Moody, RV
    Solomyak, B
    DISCRETE & COMPUTATIONAL GEOMETRY, 2003, 29 (04) : 525 - 560
  • [9] Pure point diffraction
    Baake, M
    Moody, RV
    JOURNAL OF NON-CRYSTALLINE SOLIDS, 2004, 334 : 77 - 82
  • [10] Pure Point Diffraction and Almost Periodicity
    Lenz, Daniel
    Spindeler, Timo
    Strungaru, Nicolae
    ISRAEL JOURNAL OF CHEMISTRY, 2024, 64 (10-11)