5 papers
Observability and Semiclassical Control for Schrödinger Equations on Non-compact Hyperbolic Surfaces
Xin Fu, Yulin Gong, Yunlei Wang
We study the observability of the Schrödinger equation on , a non-compact covering space of a compact hyperbolic surface . Using a generalized Bloch theory, functions on …
Discrete trace formulas and holomorphic functional calculus for the adjacency matrix of regular graphs
Yulin Gong, Wenbo Li, Shiping Liu
We provide a unified method to study the adjacency matrices of regular graphs (including infinite ones) using holomorphic functional calculus. By applying this calculus on a specif…
Sublinear lower bounds of eigenvalues for twisted Laplacian on compact hyperbolic surfaces
Yulin Gong, Long Jin
We investigate the asymptotic spectral distribution of the twisted Laplacian associated with a real harmonic 1-form on a compact hyperbolic surface. In particular, we establish a s…
The spectral concentration for damped waves on compact Anosov manifolds
Yulin Gong
We study the spectral distribution of damped waves on compact Anosov manifolds. Sjöstrand \cite{SJ1} proved that the imaginary parts of the majority of the eigenvalues concentrate…
Spectral convergence of random regular graphs: Chebyshev polynomials, non-backtracking walks, and unitary-color extensions
Yulin Gong, Wenbo Li, Shiping Liu
In this paper, we give a short proof of the weak convergence to the Kesten-McKay distribution for the normalized spectral measures of random -lifts. This result is derived by ge…