Add to ORKGThe Thue-Morse sequence is an aperiodically ordered infinite binary sequence. It is used as a one-dimensional way to model the structure of a quasicrystal. For example, taking autocorrelations of these sequences (roughly, measuring how similar a Thue-Morse sequence is to translates of itself) we can gain understanding of the diffraction patterns of quasicrystals. We generate abstract art images from these Thue-Morse autocorrelation functions, that capture the aperiodic structure of the Thue-Morse sequence in a compelling way.Comment: 20 page
The Julesz paradigm involving statistical constraints for the study of texture discrimination is ext...
We consider a mixture of ultracold bosonic atoms on a one-dimensional lattice described by the XXZ-B...
This master thesis (hovedfag) looks at the aperiodic autocorrelation of binary sequences. We give an...
What is order that is not based on simple repetition, that is, periodicity? How must atoms be arrang...
Quasicrystals are non-periodic solids that were discovered in 1982 by Dan Shechtman, Nobel Prize Lau...
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An n-dimensional tiling is formed by laying tiles, chosen from a finite collection of shapes (protot...
The mathematical theory of aperiodic order grew out of various predecessors in discrete geometry, ha...
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AbstractWe give some sufficient criteria for the existence of certain averages (mean, correlation fu...
We study the spatial spread of out-of-time-ordered correlators (OTOCs) in coupled map lattices (CMLs...
In the 1960’s and 1970’s, mathematicians discovered geometric patterns which displayed a high degree...
The Julesz paradigm involving statistical constraints for the study of texture discrimination is ext...
We consider a mixture of ultracold bosonic atoms on a one-dimensional lattice described by the XXZ-B...
This master thesis (hovedfag) looks at the aperiodic autocorrelation of binary sequences. We give an...
What is order that is not based on simple repetition, that is, periodicity? How must atoms be arrang...
Quasicrystals are non-periodic solids that were discovered in 1982 by Dan Shechtman, Nobel Prize Lau...
Periodic structures like a typical tiled kitchen floor or the arrangement of carbon atoms in a diamo...
The mathematical theory of aperiodic order grew out of various predecessors in discrete geometry, ha...
In this paper, we show that all odd-point correlation functions of the balanced Rudin--Shapiro seque...
This thesis complements the paper Lattice gas models on self-similar aperiodic tilings in that it gi...
An n-dimensional tiling is formed by laying tiles, chosen from a finite collection of shapes (protot...
The mathematical theory of aperiodic order grew out of various predecessors in discrete geometry, ha...
In crystallography, it was an axiom that any material with a diffraction pattern consisting of sharp...
AbstractWe give some sufficient criteria for the existence of certain averages (mean, correlation fu...
We study the spatial spread of out-of-time-ordered correlators (OTOCs) in coupled map lattices (CMLs...
In the 1960’s and 1970’s, mathematicians discovered geometric patterns which displayed a high degree...
The Julesz paradigm involving statistical constraints for the study of texture discrimination is ext...
We consider a mixture of ultracold bosonic atoms on a one-dimensional lattice described by the XXZ-B...
This master thesis (hovedfag) looks at the aperiodic autocorrelation of binary sequences. We give an...