Yanlu Lian

activity

20212026

most citedOn Hadwiger's covering functional for the simplex and the cross-polytope

2 citations · 3 across the 10 of their papers we have counts for

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Showing 2023Show all

3 papers · 1 filter

math.FA2023

On Landau-Kato inequalities via semigroup orbits

Yi C. Huang, Yanlu Lian, Fei Xue

Let $ω > 0$ . Given a strongly continuous semigroup ${e^{t A}}$ on a Banach space and an element $f \in D (A^{2})$ satisfying the exponential orbital estimates $$\|e^{tA}f\|\leq…

math.MG2023

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…

math.CO2023

On lattice tilings of $Z^{n}$ by limited magnitude error balls $B (n, 2, 1, 1)$

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 $Z^{n}$ by limited magnitude error balls. In this…

On Landau-Kato inequalities via semigroup orbits

Lower Bound on Translative Covering Density of Octahedron

On lattice tilings of Zn by limited magnitude error balls B(n,2,1,1)

On lattice tilings of $Z^{n}$ by limited magnitude error balls $B (n, 2, 1, 1)$