3 papers
math.SP2026
Eigenvalue rigidity of hyperbolic surfaces in the random cover model
Elena Kim, Zhongkai Tao
Let be a compact connected orientable hyperbolic surface and let be a degree random cover. We show that, with high probability, the distribution of eigenvalues of the…
math.AP2025
Characterizing the support of semiclassical measures for higher-dimensional cat maps
Elena Kim, Theresa C. Anderson, Robert J. Lemke Oliver
Quantum cat maps are toy models in quantum chaos associated to hyperbolic symplectic matrices . The macroscopic limits of sequences of eigenf…
math.AP2025
Semiclassical Measures on Hyperbolic Manifolds
Elena Kim, Nicholas Miller
We examine semiclassical measures for Laplace eigenfunctions on compact hyperbolic -manifolds. We prove their support must contain the cosphere bundle of a compact immersed…