Cover Image

The Complex Illumination Problem

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Rotem, Liran, Schejter, Alon, Slomka, Boaz A.
Format:	Preprint
Published:	2024
Subjects:	Metric Geometry 52C17 (Primary) 52A21, 52A37 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On averaged self-distances in finite dimensional Banach spaces
by: Lakos, Gyula
Published: (2024)

Illuminating 1-unconditional convex bodies in ${\mathbb R}^3$ and ${\mathbb R}^4$, and certain cases in higher dimensions
by: Sun, Wen Rui, et al.
Published: (2024)

Illumination number of 3-dimensional cap bodies
by: Arman, Andrii, et al.
Published: (2025)

Spherical coverings and X-raying convex bodies of constant width
by: Bondarenko, A., et al.
Published: (2020)

Vertex generated polytopes
by: Artstein-Avidan, Shiri, et al.
Published: (2024)

A note on the affine plank conjecture
by: Bakaev, Egor, et al.
Published: (2026)

Closed polylines with fixed self-intersection index
by: Fomin, Dmitri
Published: (2026)

On a Gallai-type problem and illumination of spiky balls and cap bodies
by: Arman, Andrii, et al.
Published: (2024)

On the illumination of 1-symmetric convex bodies
by: Sun, Wen Rui, et al.
Published: (2024)

Convex bodies of constant width with exponential illumination number
by: Arman, Andrii, et al.
Published: (2023)

Infinitesimal rigidity and prestress stability for frameworks in normed spaces
by: Dewar, Sean
Published: (2021)

A Comprehensive Definition of the Geometric Mean of Convex Bodies Based on Relations Between Their $p$-Means
by: Brandenberg, René, et al.
Published: (2023)

Illumination Bodies in Projective Geometries
by: Assouline, Rotem, et al.
Published: (2026)

Minimal dispersion on the sphere
by: Litvak, Alexander E., et al.
Published: (2025)

Plank theorems and their applications: a survey
by: Verreault, William
Published: (2022)

Boundary restricted Brunn-Minkowski inequalities
by: Artstein-Avidan, Shiri, et al.
Published: (2023)

Edge-length preserving embeddings of graphs between normed spaces
by: Dewar, Sean, et al.
Published: (2024)

Uniquely realisable graphs in polyhedral normed spaces
by: Dewar, Sean
Published: (2025)

On asymptotic Lebesgue's universal covering problem
by: Arman, Andrii, et al.
Published: (2025)

On the Many Faces of Easily Covered Polytopes
by: Florentin, Dan I., et al.
Published: (2024)

A solution to Bezdek's conjecture
by: Drach, Kostiantyn, et al.
Published: (2025)

Homothetic packings of centrally symmetric convex bodies
by: Dewar, Sean
Published: (2020)

Hadwiger's conjecture for cap bodies
by: Arman, Andrii, et al.
Published: (2025)

Dimension-free estimates for covering functionals of simplices and $\ell_p$ balls
by: Chen, Feifei, et al.
Published: (2026)

A Sharp Bound on Large Planar Signed Vector Sums
by: Grundbacher, Florian
Published: (2025)

A strengthening of the Blaschke-Santaló inequality for $o$-symmetric planar convex bodies
by: Böröczky, Károly J., et al.
Published: (2026)

On the minimal area of quadrangles circumscribed about planar convex bodies
by: Fodor, Ferenc, et al.
Published: (2025)

From Circles to Convex Bodies: Approximating Curved Shapes by Polytopes
by: Hoehner, Steven
Published: (2025)

Regular functional covering numbers
by: Giannopoulos, Apostolos, et al.
Published: (2025)

On Hadwiger's covering problem in small dimensions
by: Arman, Andrii, et al.
Published: (2024)

Tightening Inequalities on Volume Extremal $k$-Ellipsoids Using Asymmetry Measures
by: Brandenberg, René, et al.
Published: (2024)

Jung-type Inequalities and Blaschke-Santaló Diagrams for Different Diameter Variants
by: Brandenberg, René, et al.
Published: (2023)

Covering spiky annuli by planks
by: Ambrus, Gergely, et al.
Published: (2025)

Infinitesimal rigidity in normed planes
by: Dewar, Sean
Published: (2018)

An example of an "unlinked" set of $2k + 3$ points in $2k$-space
by: Starkov, M.
Published: (2024)

On Axial Symmetry in Convex Bodies
by: Goenka, Ritesh, et al.
Published: (2023)

Weighted Brunn-Minkowski Theory II: Inequalities for Mixed Measures and Applications
by: Fradelizi, Matthieu, et al.
Published: (2024)

The Weighted $L^p$ Minkowski Problem
by: Langharst, Dylan, et al.
Published: (2024)

Complex and Quaternionic Analogues of Busemann's Random Simplex and Intersection Inequalities
by: Saroglou, Christos, et al.
Published: (2024)

The smallest mono-unstable, homogeneous convex polyhedron has at least 7 vertices
by: Bozóki, Sándor, et al.
Published: (2024)