3 problems
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The relative Poisson relation for obstacle scattering
Relative Poisson relation conjecture. One should have
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Exponential wave trace remainder conjecture for asymptotically hyperbolic manifolds
Exponential wave trace remainder conjecture. The remainder is smooth on , and there exist , depending only on , , and , such that
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Equality of the wave-trace singular support and the length spectrum
Wave-trace equality conjecture. The containment is an equality: