20 citations · 48 across the 17 of their papers we have counts for
5 papers · 1 filter
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…
Ghost distributions of regular sequences are affine transformations of self-affine sets
Michael Coons, James Evans, Zachary Groth +1
Ghost measures of regular sequences---the unbounded analogue of automatic sequences---are generalisations of standard fractal mass distributions. They were introduced to determine…
Spectral properties of substitutions on compact alphabets
Neil Mañibo, Dan Rust, James J. Walton
We consider substitutions on compact alphabets and provide sufficient conditions for the diffraction to be pure point, absolutely continuous and singular continuous. This allows on…
Mixing properties and entropy bounds of a family of Pisot random substitutions
Giovanni B. Escolano, Neil Mañibo, Eden Delight Miro
We consider a two-parameter family of random substitutions and show certain combinatorial and topological properties they satisfy. We establish that they admit recognisable words a…
Admissible reversing and extended symmetries for bijective substitutions
Álvaro Bustos, Daniel Luz, Neil Mañibo
In this paper, we deal with reversing and extended symmetries of shifts generated by bijective substitutions. We provide equivalent conditions for a permutation on the alphabet to…