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math.SP2026
Discrete Mixed Quantization for Cat Maps
Elena Kim, Qiaochu Ma
In this paper, we develop a mixed quantization technique for graph vector bundles that combines semiclassical analysis and quantum cat maps. We apply it to study the Kesten--McKay…
math.SP2026
Polynomial bounds for eigenfunctions and eigenvalues on random covers of hyperbolic surfaces
Elena Kim, Zhongkai Tao
Let be a compact connected orientable hyperbolic surface and let be a degree cover, taken uniformly at random. We show that, with high probability, the nor…