Zobrazeno 1 - 10
of 59
pro vyhledávání: '"MAÑIBO, NEIL"'
Autor:
Baake, Michael, Mañibo, Neil
Publikováno v:
Coll. Math. 176 (2024), 121--134
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 $\cB$-free shift (otherwise known as its automorphism group) is trivial. We ext
Externí odkaz:
http://arxiv.org/abs/2406.15242
Autor:
Mañibo, Neil
Tilings and point sets arising from substitutions are classical mathematical models of quasicrystals. Their hierarchical structure allows one to obtain concrete answers regarding spectral questions tied to the underlying measures and potentials. In t
Externí odkaz:
http://arxiv.org/abs/2311.05731
We extend the existence of ghost measures beyond nonnegative primitive regular sequences to a large class of nonnegative real-valued regular sequences. In the general case, where the ghost measure is not unique, we show that they can be parametrised
Externí odkaz:
http://arxiv.org/abs/2307.15185
We determine asymptotic growth rates for lengths of monochromatic arithmetic progressions in certain automatic sequences. In particular, we look at (one-sided) fixed points of aperiodic, primitive, bijective substitutions and spin substitutions, whic
Externí odkaz:
http://arxiv.org/abs/2302.12908
In this work, we consider a class of substitutions on infinite alphabets and show that they exhibit a growth behaviour which is impossible for substitutions on finite alphabets. While for both settings the leading term of the tile counting function i
Externí odkaz:
http://arxiv.org/abs/2211.02548
In this work we study $S$-adic shifts generated by sequences of morphisms that are constant-length. We call a sequence of constant-length morphisms torsion-free if any prime divisor of one of the lengths is a divisor of infinitely many of the lengths
Externí odkaz:
http://arxiv.org/abs/2209.02104
Publikováno v:
Discrete Analysis 2024:11, 24 pp
For any $\lambda>2$, we construct a substitution on an infinite alphabet which gives rise to a substitution tiling with inflation factor $\lambda$. In particular, we obtain the first class of examples of substitutive systems with transcendental infla
Externí odkaz:
http://arxiv.org/abs/2208.01327
We develop a systematic approach to continuous substitutions on compact Hausdorff alphabets. Focussing on implications of irreducibility and primitivity, we highlight important features of the topological dynamics of their subshifts. We then reframe
Externí odkaz:
http://arxiv.org/abs/2204.07516
Publikováno v:
In Indagationes Mathematicae September 2024 35(5):890-913
Autor:
Frank, Natalie Priebe, Mañibo, Neil
We introduce qubit substitutions in $\mathbb{Z}^m$, which have non-rectangular domains based on an endomorphism $Q$ of $\mathbb{Z}^m$ and a set $\mathcal{D}$ of coset representatives of $\mathbb{Z}^m/Q\mathbb{Z}^m$. We then focus on a specific family
Externí odkaz:
http://arxiv.org/abs/2108.08642