5 papers
Renormalisation techniques for inflation systems and some of their applications
Michael Baake, Franz Gähler, Anna Klick +2
Exact renormalisation techniques are important and powerful, particularly for inflation-generated systems. We review recent results in this direction. We recall the necessary notio…
Radius-zero Extended Symmetries and Irregular Fibres of -Substitution Subshifts
Ãlvaro 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…
Substitutions on compact alphabets
Neil Mañibo, Dan Rust, James J. Walton
We develop a systematic approach to continuous substitutions on compact Hausdorff alphabets. Focussing on implications of irreducibility and primitivity, we highlight important fea…
On the full centraliser of ErdÅs $\cB$-free shifts
Michael Baake, Neil Mañibo
The sets of $\cB$-free integers are considered with respect to (reversing) symmetries. It is well known that, for a large class of them, the centraliser of the associated $\cB$-fre…
Substitution tilings with transcendental inflation factor
Dirk Frettlöh, Alexey Garber, Neil Mañibo
For any , we construct a substitution on an infinite alphabet which gives rise to a substitution tiling with inflation factor . In particular, we obtain the first class o…