Luyining Gan

activity

20202026

most citedHamiltonicity in Cherry-quasirandom 3-graphs

1 citations · 2 across the 15 of their papers we have counts for

collaborators

Showing 2021Show all

4 papers · 1 filter

math.CO2021

Large $Y_{k, b}$ -tilings and Hamilton $ℓ$ -cycles in $k$ -uniform hypergraphs

Luyining Gan, Jie Han, Lin Sun +1

Let $Y_{3, 2}$ be the $3$ -uniform hypergraph with two edges intersecting in two vertices. Our main result is that any $n$ -vertex 3-uniform hypergraph with at least $\binom{n}{3} - \…

math.RA2021★ 1 cited

Inequalities and limits of weighted spectral geometric mean

Luyining Gan, Tin-Yau Tam

We establish some new properties of spectral geometric mean. In particular, we prove a log majorization relation between $(B^{t s /2} A^{(1 - t) s} B^{t s /2})^{1/ s}$ and the $t…

math.RA2021

On two geometric means and sum of adjoint orbits

Luyining Gan, Xuhua Liu, Tin-Yau Tam

In this paper, we study the metric geometric mean introduced by Pusz and Woronowicz and the spectral geometric mean introduced by Fiedler and Pták, originally for positive definite…

math.DG2021

Curvature of matrix and reductive Lie groups

Luyining Gan, Ming Liao, Tin-Yau Tam

In this paper, we give a simple formula for sectional curvatures on the general linear group, which is also valid for many other matrix groups. Similar formula is given for a reduc…

Large Yk,b​-tilings and Hamilton ℓ-cycles in k-uniform hypergraphs

Inequalities and limits of weighted spectral geometric mean

On two geometric means and sum of adjoint orbits

Curvature of matrix and reductive Lie groups

Large $Y_{k, b}$ -tilings and Hamilton $ℓ$ -cycles in $k$ -uniform hypergraphs