본문 바로가기
KERD
논문KCI 등재

PURE DISCRETE SPECTRUM ON TOEPLITZ ARRAYS

0

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

We look at Toeplitz arrays on Zd and study a characterizing property for pure discrete spectrum in terms of the periodic structures of the Toeplitz arrays.

Abstract

We look at Toeplitz arrays on Zd and study a characterizing property for pure discrete spectrum in terms of the periodic structures of the Toeplitz arrays.

참고문헌 (14)

  1. M. Baake, "Toeplitz ows and model sets", Bull. Lond. Math. Soc., 48(4), pp.691~698 (2016)[DOI]
  2. M. Baake, "Dynamical systems on translation bounded measures : pure point dynamical and diffraction spectra", Ergod. Theory Dynam. Syst., 24, pp.1867~1893 (2004)[DOI]
  3. M. Baake, "Characterization of model sets by dynamical systems", Ergod. Theory Dynam. Syst., 27(2), pp.341~382 (2007)[DOI]
  4. M. Baake, "Weighted Dirac combs with pure point diffraction", J. reine angew. Math., 573, pp.61~94 (2004)
  5. Cortez Maria, "Zd Toeplitz arrays", Discrete Contin. Dynm Syst, 15(3), pp.859~881 (2006)
  6. M.I. Cortez, "Continuous and measurable eigenfunctions of linearly recurrent dynamical Cantor systems", J. London Math. Soc. (2), 67(3), pp.790~804 (2003)[DOI]
  7. T. Downarowicz, "A non-regular Toeplitz ow with preset pure point spectrum", Studia Math., 120(3), pp.235~246 (1996)
  8. J.-B. Gouere, "Diffraction and Palm measure of point processes", C. R. Acad. Sci. Paris 336, 336(1), pp.57~62 (2003)[DOI]
  9. J.-Y. Lee, "Substitution Delone sets with pure point spectrum are inter-model sets", J. Geom. Phys., 57, pp.2263~2285 (2007)[DOI]
  10. J.-Y. Lee, "Lattice substitution systems and model sets", Discrete Comput. Geom., 25, pp.173~201 (2001)[DOI]
  11. J.-Y. Lee, "Characterization of model multi-colour sets", Ann. Henri Poincare, 7, pp.125~143 (2006)[DOI]
  12. J.-Y. Lee, "Pure point dynamical and diffraction spectra", Ann. Henri Poincare, 3, pp.1003~1018 (2002)[DOI]
  13. B. Solomyak, "Dynamics of self-similar tilings", rgod. Theory Dynam. Syst., 17, pp.695~738 (1997)[DOI]
  14. B. Solomyak, "Corrections to 'Dynamics of self-similar tilings'", rgod. Theory Dynam. Syst., 19, pp.1685~ (1999)[DOI]

관련 논문AI추천

이 간행물의 다른 논문 (8건)