Geodesic
Uniform Distribution in Model Sets
Canadian mathematical bulletin, Tome 45 (2002) no. 1, pp. 123-130

Voir la notice de l'article provenant de la source Cambridge

DOI

We give a new measure-theoretical proof of the uniform distribution property of points in model sets (cut and project sets). Each model set comes as a member of a family of related model sets, obtained by joint translation in its ambient (the ‘physical’) space and its internal space. We prove, assuming only that the window defining the model set is measurable with compact closure, that almost surely the distribution of points in any model set from such a family is uniform in the sense of Weyl, and almost surely the model set is pure point diffractive.
DOI : 10.4153/CMB-2002-015-3
Mots-clés : 52C23, 11K70, 28D05, 37A30 
Moody, Robert V. Uniform Distribution in Model Sets. Canadian mathematical bulletin, Tome 45 (2002) no. 1, pp. 123-130. doi: 10.4153/CMB-2002-015-3
@article{10_4153_CMB_2002_015_3,
     author = {Moody, Robert V.},
     title = {Uniform {Distribution} in {Model} {Sets}},
     journal = {Canadian mathematical bulletin},
     pages = {123--130},
     year = {2002},
     volume = {45},
     number = {1},
     doi = {10.4153/CMB-2002-015-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2002-015-3/}
}
TY  - JOUR
AU  - Moody, Robert V.
TI  - Uniform Distribution in Model Sets
JO  - Canadian mathematical bulletin
PY  - 2002
SP  - 123
EP  - 130
VL  - 45
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2002-015-3/
DO  - 10.4153/CMB-2002-015-3
ID  - 10_4153_CMB_2002_015_3
ER  - 
%0 Journal Article
%A Moody, Robert V.
%T Uniform Distribution in Model Sets
%J Canadian mathematical bulletin
%D 2002
%P 123-130
%V 45
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2002-015-3/
%R 10.4153/CMB-2002-015-3
%F 10_4153_CMB_2002_015_3

Cité par Sources :