Diffractive point sets with entropy
Baake, M. ; Moody, R. V.
arXiv, 9809002 / Harvested from arXiv
Text on arXiv
After a brief historical survey, the 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.
Publié le : 1998-09-01
Classification:  Mathematical Physics,  Condensed Matter 
@article{9809002,
     author = {Baake, M. and Moody, R. V.},
     title = {Diffractive point sets with entropy},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9809002}
}

Baake, M.; Moody, R. V. Diffractive point sets with entropy. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9809002/