Michael Baake and Robert V Moody 1998 J. Phys. A: Math. Gen. 31 9023 doi:10.1088/0305-4470/31/45/003
Diffractive point sets with entropy
Michael Baake
and Robert V Moody
After a brief historical survey, this paper introduces the notion of entropic model sets (cut and project sets), and, more generally, the notion of diffractive point sets with entropy. Such sets may be thought of as generalizations of lattice gases. We show that taking the site occupation of a model set stochastically results, with probabilistic certainty, in well-defined diffractive properties augmented by a constant diffuse background. We discuss both the case of independent, but identically distributed (i.i.d.) random variables and that of independent, but different (i.e. site dependent) random variables. Several examples are shown.
- PACS
- MSC
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60B15 Probability measures on groups, Fourier transforms, factorization
- Subjects
- Dates
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Issue 45 (13 November 1998)
Received 18 February 1998
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Diffractive point sets with entropy
Michael Baake and Robert V Moody 1998 J. Phys. A: Math. Gen. 31 9023
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