Around the Danzer problem and the construction of dense forests

DOI10.4171/LEM/1020zbMath1493.52005arXiv2010.06756OpenAlexW4220696821MaRDI QIDQ2154802

Faustin Adiceam

Publication date: 15 July 2022

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.06756

zbMATH Keywords

integral geometryvisibilitymetric geometryconvex geometryconstruction of dense forests

Mathematics Subject Classification ID

Metric geometry (51F99) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (2)

Visibility properties of spiral sets ⋮ Danzer's problem, effective constructions of dense forests and digital sequences

Cites Work

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• Van der Corput's difference theorem: some modern developments
• Deloné property of the holonomy vectors of translation surfaces
• Piercing quasi-rectangles-on a problem of Danzer and Rogers
• A set containing rectifiable arcs QC-locally but not QC-globally
• Sequences, discrepancies and applications
• Matrix representation of Husserl's part-whole-foundation theory
• \(\epsilon\)-nets and simplex range queries
• Diophantine approximation
• Unsolved problems in geometry
• Weak \(\varepsilon\)-nets for points on a hypersphere
• Minimal sets for flows on moduli space
• Quasi-Monte-Carlo methods and the dispersion of point sequences
• On visibility problems with an infinite discrete set of obstacles
• Translation surfaces and their orbit closures: an introduction for a broad audience
• Dynamical directions in numeration
• On a problem of Danzer
• A Danzer set for axis parallel boxes
• Dense forests and Danzer sets
• Uniformly Discrete Forests with Poor Visibility
• The growth rate of trajectories of a quadratic differential
• Asymptotic expansions of finite theta series
• Dynamics of self-similar tilings
• Directions in Mathematical Quasicrystals
• How Far Can You See in a Forest?
• On Problems of Danzer and Gowers and Dynamics on the Space of Closed Subsets of ${\mathbb{R}}^d$
• Multiscale substitution tilings
• Rational approximation and arithmetic progressions
• Cut‐and‐project quasicrystals, lattices and dense forests

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