Physics – Mathematical Physics
Scientific paper
2010-03-15
Physics
Mathematical Physics
31 pages
Scientific paper
Meyer sets have a relatively dense set of Bragg peaks and for this reason they may be considered as basic mathematical examples of (aperiodic) crystals. In this paper we investigate the pure point part of the diffraction of Meyer sets in more detail. The results are of two kinds. First we show that given a Meyer set and any intensity a less than the maximum intensity of its Bragg peaks, the set of Bragg peaks whose intensity exceeds a is itself a Meyer set (in the Fourier space). Second we show that if a Meyer set is modified by addition and removal of points in such a way that its density is not altered too much (the allowable amount being given explicitly as a proportion of the original density) then the newly obtained set still has a relatively dense set of Bragg peaks.
No associations
LandOfFree
On the Spectrum of a Meyer Set does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On the Spectrum of a Meyer Set, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Spectrum of a Meyer Set will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-244521