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October 10, 2025Open Access

Bulk Weyl Asymptotics in the Edge Variable under Affine Spectral Encoding

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This article demonstrates Weyl asymptotics in edge variables for Riemannian manifolds, highlighting the role of affine spectral encoding.

The study shows that the affine spectral encoding transports Weyl asymptotics to edge variables in a bulk regime.
It reveals that the Weyl constant and dimension can be extracted from one-dimensional edge-variable data.
The uniqueness and stability of polynomial-type encodings are established under small perturbations.
For constant-curvature model spaces, the correspondences for heat traces and spectral zeta are strengthened.

Anton Alexa (2025) studied this question.

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