Substitution Delone Sets
نویسندگان
چکیده
Substitution Delone set families are families of Delone sets X = (X1, . . . ,Xn) which satisfy the inflation functional equation
منابع مشابه
1 9 O ct 2 00 1 Substitution Delone Sets
Substitution Delone set families are families of Delone sets X = (X1, . . . ,Xn) which satisfy the inflation functional equation
متن کاملA ug 2 00 2 Substitution Delone Sets Jeffrey
Substitution Delone set families are families of Delone sets X = (X1, . . . ,Xn) which satisfy the inflation functional equation
متن کاملPure Point Diffractive Substitution Delone Sets Have the Meyer Property Jeong-yup Lee and Boris Solomyak
We prove that a primitive substitution Delone set, which is pure point diffractive, is a Meyer set. This answers a question of J. C. Lagarias. We also show that for primitive substitution Delone sets, being a Meyer set is equivalent to having a relatively dense set of Bragg peaks. The proof is based on tiling dynamical systems and the connection between the diffraction and dynamical spectra.
متن کاملPure Point Diffractive Substitution Delone Sets Have the Meyer Property
We prove that a primitive substitution Delone set, which is pure point diffractive, is a Meyer set. This answers a question of J. C. Lagarias. We also show that for primitive substitution Delone sets, being a Meyer set is equivalent to having a relatively dense set of Bragg peaks. The proof is based on tiling dynamical systems and the connection between the diffraction and dynamical spectra.
متن کاملMini-Workshop: The Pisot Conjecture - From Substitution Dynamical Systems to Rauzy Fractals and Meyer Sets
This mini-workshop brought together researchers with diverse backgrounds and a common interest in facets of the Pisot conjecture, which relates certain properties of a substitution to dynamical properties of the associated subshift. Mathematics Subject Classification (2000): 37B10, 28A80, 37B50, 52C23. Introduction by the Organisers A substitution is a non-erasing morphism of the free monoid. S...
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ورودعنوان ژورنال:
- Discrete & Computational Geometry
دوره 29 شماره
صفحات -
تاریخ انتشار 2003