Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 5 of 5 for “"Aperiodic order"”.
-
Aperiodic Order and Singular Spectra
This work focuses on several models of aperiodic order and their applications in different areas of mathematics and mathematical physics. After a short introduction to the theory of dynamicals systems, we present random substitutions as a stochastic variant of substitutions which create symbolic …
-
Fractal and Statistical Phenomena in Aperiodic Order
… known results about pair correlations to higher-order correlations. By that, we derive a general framework for exact computation of frequencies in any primitive inflation system. We also show how to pass from the geometrical point of view to a symbolic one. <br /><br /> Lastly, we merge these two …
-
Quasicrystalline optical lattices for ultracold atoms
Quasicrystals are long-range ordered and yet non-periodic. This interplay results in a wealth of intriguing physical phenomena, such as the inheritance of topological properties from higher dimensions, self-similarity, and the presence of non-trivial structure on all scales. The concept of …
-
Combinatorial aspects of root lattices and words
… topics that are of interest for the theory of aperiodic order. In the first part, the similar sublattices and coincidence site lattices of the root lattice A4 are analysed by means of a particular quaternion algebra. Dirichlet series generating functions are derived, which count the number of …
-
Between order and disorder: ultracold atoms in a quasicrystalline optical lattice
Quasicrystals are long-range ordered and yet non-periodic. This interplay results in a wealth of intriguing physical phenomena, such as self-similarity, the inheritance of topological properties from higher dimensions, and the presence of non-trivial structure on all lengthscales. However, …