Perturbations of discrete lattices and almost periodic sets

• Date: 2018
• Main Authors: Favorov, Sergey, Kolbasina, Yevgeniia
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: perturbation of discrete lattice; almost periodic discrete set; signed discrete set; quasicrystals; 11K70; 52C07; 52C23
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/630
• Journal Title: Algebra and Discrete Mathematics

A discrete set in the p-dimensional Euclidian space is  almost periodic, if  the measure with the unite masses at points of the set is almost periodic in the weak sense. We propose to construct positive almost periodic discrete sets as an almost periodic perturbation of a full rank discrete lattice....