New lower bound on ball packing density in high-dimensional hyperbolic spaces
Fuente:
arXiv
Saved in:
| Main Authors: | Fernández, Irene Gil, Kim, Jaehoon, Liu, Hong, Pikhurko, Oleg |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
New upper bound for lattice covering by spheres
by: Gao, Jun, et al.
Published: (2025)
by: Gao, Jun, et al.
Published: (2025)
Covering large-dimensional Euclidean spaces by random translates of a given convex body
by: Bukh, Boris, et al.
Published: (2025)
by: Bukh, Boris, et al.
Published: (2025)
Circle Squaring with Pieces of Small Boundary and Low Borel Complexity
by: Máthé, András, et al.
Published: (2022)
by: Máthé, András, et al.
Published: (2022)
Lower bounds for sphere packing in arbitrary norms
by: Schildkraut, Carl
Published: (2024)
by: Schildkraut, Carl
Published: (2024)
Variations on five-dimensional sphere packings
by: Cohn, Henry, et al.
Published: (2024)
by: Cohn, Henry, et al.
Published: (2024)
A new lower bound for the kissing number in 19 dimensions
by: Ho, Boon Suan
Published: (2026)
by: Ho, Boon Suan
Published: (2026)
Stiefel manifolds and upper bounds for spherical codes and packings
by: Zargar, Masoud
Published: (2024)
by: Zargar, Masoud
Published: (2024)
On a square packing conjecture of Erdős
by: Singh, Anshul Raj
Published: (2026)
by: Singh, Anshul Raj
Published: (2026)
New bounds in the discrete analogue of Minkowski's second theorem
by: Tointon, Matthew
Published: (2023)
by: Tointon, Matthew
Published: (2023)
An explicit lower bound for the unit distance problem
by: Sawin, Will
Published: (2026)
by: Sawin, Will
Published: (2026)
Examples of hyperbolic spaces without the properties of quasi-ball or bounded eccentricity
by: You, Qizheng, et al.
Published: (2023)
by: You, Qizheng, et al.
Published: (2023)
Borsuk's conjecture for two-distance sets and its equivalent formulation for graphs
by: Musin, Oleg R.
Published: (2025)
by: Musin, Oleg R.
Published: (2025)
Density bounds for unit ball packings relative to their outer parallel domains
by: Bezdek, Károly, et al.
Published: (2024)
by: Bezdek, Károly, et al.
Published: (2024)
Quasi-isometry invariance of hyperbolicity in semimetric spaces, digraphs and semigroups
by: Hamann, Matthias
Published: (2021)
by: Hamann, Matthias
Published: (2021)
Upper bounds for Heilbronn's triangle problem in higher dimensions
by: Zakharov, Dmitrii
Published: (2022)
by: Zakharov, Dmitrii
Published: (2022)
Klein-Arnold tensegrities
by: Karpenkov, Oleg, et al.
Published: (2024)
by: Karpenkov, Oleg, et al.
Published: (2024)
Flips in Two-dimensional Hypertriangulations
by: Edelsbrunner, Herbert, et al.
Published: (2022)
by: Edelsbrunner, Herbert, et al.
Published: (2022)
Upper bounds on chromatic number of $\mathbb{E}^n$ in low dimensions
by: Arman, Andrii, et al.
Published: (2021)
by: Arman, Andrii, et al.
Published: (2021)
Quasimetric spaces with few lines
by: Quintero, Guillermo Gamboa, et al.
Published: (2024)
by: Quintero, Guillermo Gamboa, et al.
Published: (2024)
Algorithms for orthogonal partitioning into four parts
by: Fakhrutdinov, Alexey, et al.
Published: (2025)
by: Fakhrutdinov, Alexey, et al.
Published: (2025)
The chromatic number of 4-dimensional lattices
by: Vallentin, Frank, et al.
Published: (2024)
by: Vallentin, Frank, et al.
Published: (2024)
On the chromatic numbers of 3-dimensional slices
by: Cherkashin, D. D., et al.
Published: (2022)
by: Cherkashin, D. D., et al.
Published: (2022)
An improved lower bound to Erdos' problem concerning products of distances for fixed diameter
by: Sothanaphan, Nat
Published: (2025)
by: Sothanaphan, Nat
Published: (2025)
Fractional Divisibility of Spheres with Partially Generic Sets of Rotations
by: Grebík, Jan, et al.
Published: (2025)
by: Grebík, Jan, et al.
Published: (2025)
No weak epsilon nets for lines and convex sets in space
by: Cheong, Otfried, et al.
Published: (2022)
by: Cheong, Otfried, et al.
Published: (2022)
Sub-25-dimensional counterexamples to Borsuk's conjecture in the Leech lattice?
by: Jenrich, Thomas
Published: (2023)
by: Jenrich, Thomas
Published: (2023)
Beyond chromatic threshold via the $(p,q)$-theorem, and a sharp blow-up phenomenon
by: Liu, Hong, et al.
Published: (2024)
by: Liu, Hong, et al.
Published: (2024)
No-dimensional Tverberg-type problems
by: Polyanskii, Alexander
Published: (2025)
by: Polyanskii, Alexander
Published: (2025)
Drums of high width
by: Davies, Alex, et al.
Published: (2025)
by: Davies, Alex, et al.
Published: (2025)
Spherical codes with prescribed signed permutation automorphisms inside shells of low-dimensional integer lattices
by: Mikhail, Ganzhinov, et al.
Published: (2024)
by: Mikhail, Ganzhinov, et al.
Published: (2024)
The packing density of the $n$-dimensional cross-polytope
by: Tóth, G. Fejes, et al.
Published: (2015)
by: Tóth, G. Fejes, et al.
Published: (2015)
A boundary for hyperbolic digraphs and semigroups
by: Hamann, Matthias
Published: (2024)
by: Hamann, Matthias
Published: (2024)
Spanning trees of bounded degree in random geometric graphs
by: Anastos, Michael, et al.
Published: (2025)
by: Anastos, Michael, et al.
Published: (2025)
Remarks on soft ball packings in dimensions 2 and 3
by: Bezdek, Károly, et al.
Published: (2023)
by: Bezdek, Károly, et al.
Published: (2023)
Discrete groups of packed, non-positively curved, Gromov hyperbolic metric spaces
by: Cavallucci, Nicola, et al.
Published: (2021)
by: Cavallucci, Nicola, et al.
Published: (2021)
On the cross-product conjecture for the number of linear extensions
by: Chan, Swee Hong, et al.
Published: (2023)
by: Chan, Swee Hong, et al.
Published: (2023)
On the Undecidability of Tiling the $3$-dimensional Space with a Set of $3$ Polycubes
by: Yang, Chao, et al.
Published: (2025)
by: Yang, Chao, et al.
Published: (2025)
Borsuk-Ulam type theorem for Stiefel manifolds and orthogonal mass partitions
by: Musin, Oleg R.
Published: (2026)
by: Musin, Oleg R.
Published: (2026)
Glued spaces and lower curvature bounds
by: Ketterer, Christian
Published: (2024)
by: Ketterer, Christian
Published: (2024)
Penny graphs in the hyperbolic plane
by: Sagmeister, Ádám, et al.
Published: (2025)
by: Sagmeister, Ádám, et al.
Published: (2025)
Similar Items
-
New upper bound for lattice covering by spheres
by: Gao, Jun, et al.
Published: (2025) -
Covering large-dimensional Euclidean spaces by random translates of a given convex body
by: Bukh, Boris, et al.
Published: (2025) -
Circle Squaring with Pieces of Small Boundary and Low Borel Complexity
by: Máthé, András, et al.
Published: (2022) -
Lower bounds for sphere packing in arbitrary norms
by: Schildkraut, Carl
Published: (2024) -
Variations on five-dimensional sphere packings
by: Cohn, Henry, et al.
Published: (2024)