Spectral Theory

math.SP

Spectral theory of Schrödinger and differential operators.

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Spectral Certificates Separate Accuracy From Inference

An explicit Matrix-Bernstein and gap protocol gives finite-sample network certificates, then declines when valid sets are still vacuous.

math.ST math.CO math.RA

Jul 30, 20265 min2602.10566

Mathematics

Triangular Drums Both Reveal and Hide Strike Points

Explicit spectral calculations distinguish strikes in two symmetric triangles, but a 30-60-90 triangle contains two points with identical audible data.

math.SP

Jul 28, 20264 min2607.10556