Anton Alexa

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math.SP2026

Spectral Deformation Flow and Dimension Recovery: Invariant-Based Rigidity for Simply-Connected Closed Manifolds

Anton Alexa

We study an effective spectral deformation flow for mode amplitudes $C_{n} (I ¨ )$ , governed by a second-order self-adjoint operator $C^$ on a compact interval. The flow is encoded…

math.SP2026

Rigidity of Spectral Encodings under Weyl Growth Conditions

Anton Alexa

We prove that the geometric Weyl bulk-density exponent $(d - 2) /2$ rigidifies spectral encodings $C = I ¨ - I ¨ (I^»)$ in the O-regularly varying class: the bulk power law forces $Ï\in\math…

math.SP2026

Threshold Hierarchy for Packet-Scale Boundary Cancellation of Dirichlet Eigenfunctions

Anton Alexa

We identify geometry--dependent minimal packet scales required for cancellation of boundary correlations of high--frequency Dirichlet eigenfunctions on smooth strictly convex domai…

math.SP2025

Discrete Spectrum and Spectral Rigidity of a Second-Order Geometric Deformation Operator

Anton Alexa

We analyze the spectral properties of a self-adjoint second-order differential operator $C^$ , defined on the Hilbert space $L^{2} ([- v_{c}, v_{c}])$ with Dirichlet boundary condition…

math.SP2025

Essential Self-Adjointness of the Geometric Deformation Operator on a Compact Interval

Anton Alexa

We define a second-order differential operator $C^$ on the Hilbert space $L^{2} ([- v_{c}, v_{c}])$ , constructed from a smooth deformation function $C (v)$ . The operator is considered…