Ergodic properties of visible lattice points

DOI10.1134/S0081543815010137zbMath1336.37005arXiv1501.01198MaRDI QIDQ492218

Christian Huck, Michael Baake

Publication date: 20 August 2015

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.01198

zbMATH Keywords

Möbius functioncorrelation functionspectral propertysquare-free integermathematical diffraction theoryvisible lattice point

Mathematics Subject Classification ID

Related Items (21)

Visible lattice points in random walks ⋮ On -approachability, entropy density and -free shifts ⋮ Generalized visibility of lattice points in higher dimensions ⋮ On the garden of Eden theorem for \(\mathscr{B}\)-free subshifts ⋮ A note on entropy of Delone sets ⋮ 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 ⋮ Divisibility properties of random samples of integers ⋮ On weakly almost periodic measures ⋮ Scaling of the diffraction measure of \(k\)-free integers near the origin ⋮ ℬ-free sets and dynamics ⋮ Dynamics on the graph of the torus parametrization ⋮ Number-theoretic positive entropy shifts with small centralizer and large normalizer ⋮ Hereditary subshifts whose measure of maximal entropy does not have the Gibbs property ⋮ Relative topological entropy for actions of non-discrete groups on compact spaces in the context of cut and project schemes ⋮ Proximality of multidimensional \(\mathscr{B}\)-free systems ⋮ On pattern entropy of weak model sets ⋮ Weak model sets ⋮ Spectral and arithmetic structures in aperiodic order ⋮ On coprime percolation, the visibility graphon, and the local limit of the GCD profile

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