2 problems

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The conjecture that the Hilbert–Schmidt exponent governs overlap asymptotics
Overlap-asymptotics conjecture. The exponent $\gamma$ governs the true asymptotics of the overlap whenever the modulus of the appropriately defined scattering phases does not excee…
Conjectureopenfermi-gases orthogonality-catastrophe scattering-theoryarXiv posted 2 days ago
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Exact leading asymptotics of the Anderson orthogonality catastrophe
Exact-asymptotics conjecture. The term $\gamma'\ln N$ is the exact leading asymptotic of $\mathcal{I}_{N,L}$ in any dimension.
Conjectureopenasymptotic-analysis many-body-physics orthogonality-catastrophearXiv posted 2 days ago

The conjecture that the Hilbert–Schmidt exponent governs overlap asymptotics