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- W4380136260 abstract "We extend the approach from [arXiv:2110.15301] to prove windowed spectral projection estimates and a generalized Weyl law for the (Weyl) quantized baker's map on the torus. The spectral window is allowed to shrink. As a consequence, we obtain a strengthening of the quantum ergodic theorem from [arXiv:math-ph/0412058] to hold in shrinking spectral windows, a Weyl law on uniform spreading of eigenvalues, and statistics of random band-limited waves. Using similar techniques, we also investigate generic random eigenbases of a different (non-Weyl) quantization, the Walsh-quantized $D$-baker map, which has high degeneracies in its spectrum. For generic random eigenbases, we prove gaussian eigenstate statistics and QUE with high probability in the semiclassical limit." @default.
- W4380136260 created "2023-06-10" @default.
- W4380136260 creator A5074569026 @default.
- W4380136260 date "2023-06-07" @default.
- W4380136260 modified "2023-09-26" @default.
- W4380136260 title "Eigenstates and spectral projection for quantized baker's map" @default.
- W4380136260 doi "https://doi.org/10.48550/arxiv.2306.04908" @default.
- W4380136260 hasPublicationYear "2023" @default.
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