Spectral distribution of twisted laplacian on typical hyperbolic surfaces of high genus

Y Gong - Communications in Mathematical Physics, 2024 - Springer
We investigate the spectral distribution of the twisted Laplacian associated with uniform
square-integrable bounded harmonic 1-form on typical hyperbolic surfaces of high genus …

The spectral concentration for damped waves on compact Anosov manifolds

Y Gong - arXiv preprint arXiv:2411.02929, 2024 - arxiv.org
We study the spectral distribution of damped waves on compact Anosov manifolds. Sj\"
ostrand\cite {SJ1} proved that the imaginary parts of the majority of the eigenvalues …