Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Neil Mañibo"'
Publikováno v:
Discrete Analysis (2024)
Substitution tilings with transcendental inflation factor, Discrete Analysis 2024:11, 24 pp. Symbolic dynamics is the study of topological dynamical systems $(X,T)$, called *subshifts*, where $T\colon X\to X$ is the shift transformation acting on a
Externí odkaz:
https://doaj.org/article/e1cdfffd08bf480c98098f890d2bf443
Regular sequences are natural generalisations of fixed points of constant-length substitutions on finite alphabets, that is, of automatic sequences. Using the harmonic analysis of measures associated with substitutions as motivation, we study the lim
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::542e9e5c5455c2a88f03f357540f9185
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 at every level. As a consequence, we get that the subshifts they define
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b6bd869ffdf6bb0f0fcbbcb963198a61
https://doi.org/10.1016/j.indag.2022.04.004
https://doi.org/10.1016/j.indag.2022.04.004
Autor:
Neil Mañibo
Publikováno v:
2019-20 MATRIX Annals ISBN: 9783030624965
In the study of spectral properties of a d-dimensional aperiodic tiling which arises from an inflation rule ρ on a finite set of prototiles.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4c3bc75c91f6acd7370ab05c5c1cfab9
https://doi.org/10.1007/978-3-030-62497-2_52
https://doi.org/10.1007/978-3-030-62497-2_52
Publikováno v:
Tsukuba Journal of Mathematics. 44
We use generalised Zeckendorf representations of natural numbers to investigate mixing properties of symbolic dynamical systems. The systems we consider consist of bi-infinite sequences associated with so-called random substitutions. We focus on rand
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6ebb3354bd255282d80aae595c83b83e
https://doi.org/10.21099/tkbjm/20204402251
https://doi.org/10.21099/tkbjm/20204402251
Autor:
Neil Mañibo
Publikováno v:
Acta Crystallographica Section A Foundations and Advances. 77:C306-C306
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0505c5d8fdc3c667548113af626a6359
https://doi.org/10.1107/s0108767321093776
https://doi.org/10.1107/s0108767321093776
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 Fourier matrix of the inflation and deduce various consequences of its
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f3d069965417a6dfce715dc87fd89efb
The family of primitive binary substitutions defined by $1 \mapsto 0 \mapsto 0 1^m$ with $m\in\mathbb{N}$ is investigated. The spectral type of the corresponding diffraction measure is analysed for its geometric realisation with prototiles (intervals
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8516dae6fdd586729280f2eb010866ee
Autor:
Neil Mañibo
Publikováno v:
Journal of Mathematical Physics. 58:113504
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 provides an approach that is independent of previous results on the b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::75c5d3924a8a375a57ecea95dc1b40e9
https://doi.org/10.1063/1.4993169
https://doi.org/10.1063/1.4993169