Renormalisation for inflation tilings. II: Connections to number theory

DOI10.1007/978-3-030-62497-2_52zbMath1487.52026OpenAlexW3133351745MaRDI QIDQ2058979

Neil Mañibo

Publication date: 10 December 2021

Full work available at URL: https://doi.org/10.1007/978-3-030-62497-2_52

zbMATH Keywords

Mahler measureLyapunov exponentsubstitutionsFourier matrixmathematical diffraction

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Measures of irrationality and of transcendence (11J82) Polynomials (irreducibility, etc.) (11R09) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Quasicrystals and aperiodic tilings in discrete geometry (52C23) Tiling dynamics (37B52)

Cites Work

• Spectral analysis of a family of binary inflation rules
• Renormalisation of pair correlation measures for primitive inflation rules and absence of absolutely continuous diffraction
• Binary Constant-Length Substitutions and Mahler Measures of Borwein Polynomials
• Lyapunov exponents for binary substitutions of constant length
• Renormalisation of Pair Correlations and Their Fourier Transforms for Primitive Block Substitutions
• Geometric properties of a binary non-Pisot inflation and absence of absolutely continuous diffraction

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