7 citations · 7 across the 4 of their papers we have counts for
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Radius-zero Extended Symmetries and Irregular Fibres of -Substitution Subshifts
Álvaro Bustos-Gajardo, Daniel Luz, Neil Mañibo
In this work, we consider -shifts generated by digit substitutions. For such a shift , we study the elements of the normaliser of in the gr…
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…
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…
Zeckendorf representations and mixing properties of sequences
Neil Manibo, Eden Miro, Dan Rust +1
We use generalised Zeckendorf representations of natural numbers to investigate mixing properties of symbolic dynamical systems. The systems we consider consist of bi-infinite sequ…
Renormalisation of pair correlation measures for primitive inflation rules and absence of absolutely continuous diffraction
Michael Baake, Franz Gaehler, Neil Manibo
The pair correlations of primitive inflation rules are analysed via their exact renormalisation relations. We introduce the inflation displacement algebra that is generated by the…
Lyapunov exponents for binary substitutions of constant length
Neil Mañibo
A method of confirming the absence of absolutely continuous diffraction via the positivity of Lyapunov exponents derived from the corresponding Fourier matrices is presented, which…