6 papers
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…
Rigidity of Spectral Encodings under Weyl Growth Conditions
Anton Alexa
We prove that the geometric Weyl bulk-density exponent rigidifies spectral encodings in the O-regularly varying class: the bulk power law forces $ϕ\in\mathrm{R…
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 , governed by a second-order self-adjoint operator on a compact interval. The flow is encoded…
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 , defined on the Hilbert space with Dirichlet boundary condition…
Essential Self-Adjointness of the Geometric Deformation Operator on a Compact Interval
Anton Alexa
We define a second-order differential operator on the Hilbert space , constructed from a smooth deformation function . The operator is considered…
A Variational Scalar Conformal Flow for Lorentz-Contracted Geometry: Algebraic Decay and Canonical Normalization
Anton Alexa
We introduce the scalar function as a conformal factor associated, within the model, with longitudinal Lorentz contraction. Extending to a one-parameter…