38 citations · 107 across the 17 of their papers we have counts for
15 papers · 1 filter
(Don't) Mind the Gap
Natalie Priebe Frank, May Mei, Kitty Yang
Infinite sequences are of tremendous theoretical and practical importance, and in the Information Age sequences of 0s and 1s are of particular interest. Over the past century, the…
Spectral theory of spin substitutions
Natalie Priebe Frank, Neil Mañibo
We introduce qubit substitutions in , which have non-rectangular domains based on an endomorphism of and a set of coset representativ…
Flow views and infinite interval exchange transformations for recognizable substitutions
Natalie Priebe Frank
A flow view is the graph of a measurable conjugacy between a substitution or S-adic subshift and an exchange of infinitely many intervals in , where $…
Three variations on a theme by Fibonacci
Michael Baake, Natalie Priebe Frank, Uwe Grimm
Several variants of the classic Fibonacci inflation tiling are considered in an illustrative fashion, in one and in two dimensions, with an eye on changes or robustness of diffract…
Introduction to hierarchical tiling dynamical systems
Natalie Priebe Frank
This paper is about the tiling dynamical systems approach to the study of aperiodic order. We compare and contrast four related types of systems: ordinary (one-dimensional) symboli…
Geometric properties of a binary non-Pisot inflation and absence of absolutely continuous diffraction
Michael Baake, Natalie P. Frank, Uwe Grimm +1
One of the simplest non-Pisot substitution rules is investigated in its geometric version as a tiling with intervals of natural length as prototiles. Via a detailed renormalisation…