Tilings by translation
Mihail N. Kolountzakis, Mate Matolcsi
TL;DR
This survey reviews the mathematical theory and methods related to tiling by translation, emphasizing Fourier analysis techniques used to understand and characterize such tilings.
Contribution
It compiles and discusses existing results and methods specifically focused on translation tilings, highlighting Fourier analysis approaches.
Findings
Fourier analysis provides key tools for understanding translation tilings
Characterization of tilings using harmonic analysis techniques
Open problems and future directions in translation tiling research
Abstract
This is a survey about tiling by translation only and related questions and methods, especially those that have to do with Fourier Analysis.
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Taxonomy
TopicsMathematical Dynamics and Fractals · semigroups and automata theory · Cellular Automata and Applications