Renormalisation of Pair Correlations and Their Fourier Transforms for Primitive Block Substitutions
From MaRDI portal
Publication:5141336
DOI10.1007/978-3-030-57666-0_7zbMath1457.52016arXiv1906.10484OpenAlexW2954619996MaRDI QIDQ5141336
Publication date: 18 December 2020
Published in: Lecture Notes in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.10484
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Relations between ergodic theory and harmonic analysis (37A46)
Related Items (5)
On the (dis)continuity of the Fourier transform of measures ⋮ Fourier transform of Rauzy fractals and point spectrum of 1D Pisot inflation tilings ⋮ Renormalisation for inflation tilings. I: General theory ⋮ Renormalisation for inflation tilings. II: Connections to number theory ⋮ Renormalisation of pair correlation measures for primitive inflation rules and absence of absolutely continuous diffraction
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Pair correlations of aperiodic inflation rules via renormalisation: some interesting examples
- Dynamical properties of almost repetitive Delone sets
- Spectral notions of aperiodic order
- Spectral analysis of a family of binary inflation rules
- Fusion: a general framework for hierarchical tilings of \(\mathbb{R }^d\)
- A primer of substitution tilings of the Euclidean plane
- Substitution dynamical systems. Spectral analysis
- Topology of some tiling spaces without finite local complexity
- Nonperiodicity implies unique composition for self-similar translationally finite tilings
- Heights of polynomials and entropy in algebraic dynamics
- Pure point dynamical and diffraction spectra
- Quasi-Monte Carlo algorithms for unbounded, weighted integration problems
- Scaling properties of a structure intermediate between quasiperiodic and random.
- Renormalisation of pair correlation measures for primitive inflation rules and absence of absolutely continuous diffraction
- Mathematics of aperiodic order
- Spectrum of a Rudin-Shapiro-like sequence
- On substitution tilings and Delone sets without finite local complexity
- On the modulus of continuity for spectral measures in substitution dynamics
- Multidimensional constant-length substitution sequences
- Squirals and beyond: substitution tilings with singular continuous spectrum
- Dynamical versus diffraction spectrum for structures with finite local complexity
- Multifractal analysis in reciprocal space and the nature of the Fourier transform of self-similar structures
- Binary Constant-Length Substitutions and Mahler Measures of Borwein Polynomials
- When shape matters: deformations of tiling spaces
- Dynamics of self-similar tilings
- When size matters: subshifts and their related tiling spaces
- Lyapunov exponents for binary substitutions of constant length
- Spectral theory of substitutions
- Dynamical systems on translation bounded measures: pure point dynamical and diffraction spectra
- Delone Sets and Dynamical Systems
- Introduction to Hierarchical Tiling Dynamical Systems
- More Inflation Tilings
- Almost Periodic Measures and their Fourier Transforms
- Almost Periodic Pure Point Measures
- Averaging Almost Periodic Functions along Exponential Sequences
- Singular substitutions of constant length
- On the Pisot Substitution Conjecture
- Tilings with Infinite Local Complexity
- Generalized $\beta$-expansions, substitution tilings, and local finiteness
- Lectures on Lyapunov Exponents
- Geometric properties of a binary non-Pisot inflation and absence of absolutely continuous diffraction
- Ergodic Theory
- Dynamical systems of algebraic origin
This page was built for publication: Renormalisation of Pair Correlations and Their Fourier Transforms for Primitive Block Substitutions