Renormalisation of pair correlation measures for primitive inflation rules and absence of absolutely continuous diffraction

DOI10.1007/s00220-019-03500-wzbMath1433.37014arXiv1805.09650OpenAlexW3101492875MaRDI QIDQ2323512

Neil Mañibo, Franz Gähler, Michael Baake

Publication date: 3 September 2019

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.09650

zbMATH Keywords

substitutioninflation tilling

Mathematics Subject Classification ID

Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Symbolic dynamics (37B10) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Tiling dynamics (37B52)

Related Items (16)

Eberlein decomposition for PV inflation systems ⋮ Spectral theory of regular sequences ⋮ On substitution automorphisms with pure singular spectrum ⋮ On the (dis)continuity of the Fourier transform of measures ⋮ Spectral theory of spin substitutions ⋮ Self-similarity and spectral theory: on the spectrum of substitutions ⋮ Lyapunov exponents for binary substitutions of constant length ⋮ Uniformly distributed orbits in \(\mathbb{T}^d\) and singular substitution dynamical systems ⋮ Fourier transform of Rauzy fractals and point spectrum of 1D Pisot inflation tilings ⋮ Renormalisation of Pair Correlations and Their Fourier Transforms for Primitive Block Substitutions ⋮ Spectral structures and topological methods in mathematical quasicrystals. Abstracts from the workshop held October 1--7, 2017 ⋮ Binary Constant-Length Substitutions and Mahler Measures of Borwein Polynomials ⋮ A spectral cocycle for substitution systems and translation flows ⋮ Spectral analysis of a family of binary inflation rules ⋮ Three variations on a theme by Fibonacci ⋮ Renormalisation for inflation tilings. II: Connections to number theory

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