Dynamics on the graph of the torus parametrization

DOI10.1017/etds.2016.53zbMath1388.37051arXiv1511.06137OpenAlexW2286506844MaRDI QIDQ4643275

Christoph Richard, Gerhard Keller

Publication date: 24 May 2018

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.06137

zbMATH Keywords

Haar measuremodel setlattice subsetparametrization map

Mathematics Subject Classification ID

Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Combinatorial dynamics (types of periodic orbits) (37E15) Quasicrystals and aperiodic tilings in discrete geometry (52C23) Dynamical systems involving maps of trees and graphs (37E25)

Related Items (22)

Spectral theory of regular sequences ⋮ Diffraction of compatible random substitutions in one dimension ⋮ On the (dis)continuity of the Fourier transform of measures ⋮ Spectrum of weak model sets with Borel windows ⋮ Fourier transformable measures with weak Meyer set support and their lift to the cut-and-project scheme ⋮ On the garden of Eden theorem for \(\mathscr{B}\)-free subshifts ⋮ Delone dynamical systems and spectral convergence ⋮ Why do (weak) Meyer sets diffract? ⋮ Maximal equicontinuous generic factors and weak model sets ⋮ Periods and factors of weak model sets ⋮ A short guide to pure point diffraction in cut-and-project sets ⋮ Modulated crystals and almost periodic measures ⋮ Hereditary subshifts whose measure of maximal entropy does not have the Gibbs property ⋮ On the Fourier analysis of measures with Meyer set support ⋮ Generalized heredity in ℬ-free systems ⋮ Weak model sets ⋮ A note on measures vanishing at infinity ⋮ Spectral and arithmetic structures in aperiodic order ⋮ Irregular \(\mathcal{B}\)-free Toeplitz sequences via Besicovitch's construction of sets of multiples without density ⋮ Irregular model sets and tame dynamics ⋮ Leptin densities in amenable groups ⋮ On arithmetic progressions in model sets

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