4 papers
The Tammes Problem in and Linear Programming Method
Yanlu Lian, Qun Mo, Yu Xia
The Tammes problem delves into the optimal arrangement of points on the surface of the -dimensional unit sphere (denoted as ), aiming to maximize the minim…
On Landau-Kato inequalities via semigroup orbits
Yi C. Huang, Yanlu Lian, Fei Xue
Let . Given a strongly continuous semigroup on a Banach space and an element satisfying the exponential orbital estimates $$\|e^{tA}f\|\leq…
Lower Bound on Translative Covering Density of Octahedron
Yiming Li, Yanlu Lian, Miao Fu +1
In this paper, we present the first nontrivial lower bound on the translative covering density of octahedron. To this end, we show the lower bound, in any translative covering of o…
On lattice tilings of by limited magnitude error balls
Tao Zhang, Yanlu Lian, Gennian Ge
Limited magnitude error model has applications in flash memory. In this model, a perfect code is equivalent to a tiling of by limited magnitude error balls. In this…