14 citations · 24 across the 8 of their papers we have counts for
8 papers
Auslander-Reiten components with bounded short cycles
Shiping Liu, Jinde Xu
We study Auslander-Reiten components of an artin algebra with bounded short cycles, namely, there exists a bound for the depths of maps appearing on short cycles of non-zero non-in…
The bounded derived categories of an algebra with radical squared zero
Raymundo Bautista, Shiping Liu
Let $\La$ be an elementary locally bounded linear category over a field with radical squared zero. We shall show that the bounded derived category $D^b(\ModbLa)$ of finitely suppor…
Ricci curvature and eigenvalue estimates for the magnetic Laplacian on manifolds
Michela Egidi, Shiping Liu, Florentin Münch +1
In this paper, we present a Lichnerowicz type estimate and (higher order) Buser type estimates for the magnetic Laplacian on a closed Riemannian manifold with a magnetic potential.…
Signatures, lifts, and eigenvalues of graphs
Shiping Liu, Norbert Peyerimhoff, Alina Vdovina
We study the spectra of cyclic signatures of finite graphs and the corresponding cyclic lifts. Starting from a bipartite Ramanujan graph, we prove the existence of an infinite towe…
Another characterization of tilted algebras
Shiping Liu
We give a new characterization of tilted algebras by the existence of certain special subquivers in their Auslander-Reiten quiver. This result includes the existent characterizatio…
An optimal dimension-free upper bound for eigenvalue ratios
Shiping Liu
On a closed weighted Riemannian manifold with nonnegative Bakry-Émery Ricci curvature, it is shown that the ratio of the -th to first eigenvalues of the weighted Laplacian is do…