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The Spectrum of an Almost Maximally Open Quantized Cat Map

1 Pith paper cite this work. Polarity classification is still indexing.

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abstract

We consider eigenvalues of a quantized cat map (i.e. hyperbolic symplectic integer matrix), cut off in phase space to include a fixed point as its only periodic orbit on the torus. We prove a simple formula for the eigenvalues on both the quantized real line and the quantized torus in the semiclassical limit as $h\to0$. We then consider the case with no fixed points, and prove a superpolynomial decay bound on the eigenvalues. The results are illustrated with numerical calculations.

fields

gr-qc 1

years

2025 1

verdicts

REJECT 1

representative citing papers

Optical images of the Kerr-Sen black hole and thin accretion disk

gr-qc · 2025-07-23 · reject · novelty 3.0

Ray-traced images of a Kerr-Sen black hole with a thin accretion disk show spin-dominated inner-shadow deformation and inclination-dominated redshift maps, while the 86-versus-230 GHz brightness gap is inherited from the input emissivity model.

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  • Optical images of the Kerr-Sen black hole and thin accretion disk gr-qc · 2025-07-23 · reject · none · ref 36 · internal anchor

    Ray-traced images of a Kerr-Sen black hole with a thin accretion disk show spin-dominated inner-shadow deformation and inclination-dominated redshift maps, while the 86-versus-230 GHz brightness gap is inherited from the input emissivity model.