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math.SP2025
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…
math.SP2024
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…