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 …
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…
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…
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…