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· 2023

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A note on several inverse problems with generally random coefficients

math.AP · 2026-05-19 · unverdicted · novelty 6.0

For random Schrödinger potentials, the full law of the DN map determines the law of the potential, but its expectation or finite moments do not determine the mean; the averaged Green's operator determines mean and variance, and all moments in a two-atom model.

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  • A note on several inverse problems with generally random coefficients math.AP · 2026-05-19 · unverdicted · none · ref 5

    For random Schrödinger potentials, the full law of the DN map determines the law of the potential, but its expectation or finite moments do not determine the mean; the averaged Green's operator determines mean and variance, and all moments in a two-atom model.