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#spectral

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papersSEP 10 04:00 UTC

Study derives spectral mechanism behind d+η scaling of topological gap in critical point clouds

A new theoretical paper explains analytically why the topological gap—measured as excess H1 total persistence of a critical point cloud relative to a density-matched null model—follows a d+η power law. The authors trace the effect to a spectral integral and provide the underlying mechanism, kernel, and decomposition of the scaling behavior.

topology/theory/machine-learning/spectral