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math.SP2026
Bouncing-ball modes in ergodic billiards
Zhenhao Li, Maciej Zworski
We show that for a horizontally stretched Bunimovich billiard, for almost every stretching parameter, there exists a sequence of eigenfunctions concentrating in the rectangular par…
math.SP2022
Weyl Laws for Open Quantum Maps
Zhenhao Li
We find Weyl upper bounds for the quantum open baker's map in the semiclassical limit. For the number of eigenvalues in an annulus, we derive the asymptotic upper bound $\mathcal O…