4 problems

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Sharp bandwidth exponent conjecture for surfaces of revolution
Sharp bandwidth conjecture. The main projector estimate should hold for
Conjectureopenquasimodes spectral-projectors surfaces-of-revolutionarXiv posted 2 days ago
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Conjectured interpolation restriction for spectral projector improvements
Interpolation restriction conjecture. Nontrivial improvements over the case $\delta=1$ should be possible only for $p=\infty$ , or for cases obtained from $p=\infty$ by interpolatio…
Conjectureopenharmonic-analysis quasimodes spectral-projectorsarXiv posted 2 days ago
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QUE conjecture for quasimodes on compact hyperbolic surfaces
QUE conjecture for quasimodes. Any sequence of $o(1/\log r)$ -quasimodes satisfies QUE.
Conjectureopenhyperbolic-surfaces quantum-ergodicity quasimodesarXiv posted 2 days ago
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The logarithmic quasimode threshold conjecture for QUE on hyperbolic surfaces
Logarithmic quasimode threshold conjecture. Then the sequence $\{\psi_j\}$ satisfies Quantum Unique Ergodicity.
Conjectureopenhyperbolic-surfaces quantum-ergodicity quasimodesarXiv posted 2 days ago

Sharp bandwidth exponent conjecture for surfaces of revolution