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

页码：1003 / 1018

页数：15

共 50 条

[21] The Lagrange and Markov Spectra from the Dynamical Point of View
Matheus, Carlos
[J]. ERGODIC THEORY AND DYNAMICAL SYSTEMS IN THEIR INTERACTIONS WITH ARITHMETICS AND COMBINATORICS, 2018, 2213 : 259 - 291
[22] Limit Distributions for Conflict Dynamical System with Point Spectra
Koshmanenko, V. D.
Voloshyna, V. O.
[J]. UKRAINIAN MATHEMATICAL JOURNAL, 2019, 70 (12) : 1861 - 1872
[23] Constraints on pure point diffraction on aperiodic point patterns of finite local complexity*
Kalugin, Pavel
Katz, Andre
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2022, 55 (06)
[24] INFINITE PRODUCT OF ERGODIC FLOWS WITH PURE POINT SPECTRA
KUBO, I
[J]. PROCEEDINGS OF THE JAPAN ACADEMY, 1967, 43 (04): : 258 - &
[25] Dense Dirac combs in Euclidean space with pure point diffraction
Richard, C
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2003, 44 (10) : 4436 - 4449
[26] The Inverse Problem of Pure Point Diffraction—Examples and Open Questions
Venta Terauds
[J]. Journal of Statistical Physics, 2013, 152 : 954 - 968
[27] Is the border surface of a crystal indeed the weakest point of the dynamical theory of diffraction?
Dub, P
Litzman, O
[J]. ACTA CRYSTALLOGRAPHICA SECTION A, 2001, 57 : 686 - 689
[28] Pure point diffraction and cut and project schemes for measures: the smooth case
Daniel Lenz
Christoph Richard
[J]. Mathematische Zeitschrift, 2007, 256 : 347 - 378
[29] A short guide to pure point diffraction in cut-and-project sets
Richard, Christoph
Strungaru, Nicolae
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2017, 50 (15)
[30] The Inverse Problem of Pure Point Diffraction-Examples and Open Questions
Terauds, Venta
[J]. JOURNAL OF STATISTICAL PHYSICS, 2013, 152 (05) : 954 - 968

← 1 2 3 4 5 →