Anton Alexa

collaborators

9 papers

math-ph2026

Gauge Rigidity and Holonomy Classification of Time-Scaled Intertwining Cocycles on Hilbert Bundles

Anton Alexa

We extend the discrete gauge rigidity of time-scaled intertwining cocycles to operator networks over a connected manifold M and classify the holonomy that the continuous setting ad…

math.FA2026

Time-Scaled Intertwining Cocycles and Identifiability of Multi-Semigroup Mixtures on Hilbert Operator Networks

Anton Alexa

We study rigidity phenomena for time-scaled intertwining families of dissipative semigroups $S_{i} (t) = e^{- t A_{i}}$ and prove that a network of bounded injective operators sati…

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.DG2025

A Dynamical Approach to the Berezin-Li-Yau Inequality

Anton Alexa

We develop a dynamical method for proving the sharp Berezin-Li-Yau inequality. The approach is based on the volume-preserving mean curvature flow and a new monotonicity principle f…

math.SP2025

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 $C = π - ϕ (λ)$ in the O-regularly varying class: the bulk power law forces $ϕ\in\mathrm{R…

math.SP2025

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 $C_{n} (τ)$ , governed by a second-order self-adjoint operator $C^$ on a compact interval. The flow is encoded…

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…

math-ph2025

A Variational Scalar Conformal Flow for Lorentz-Contracted Geometry: Algebraic Decay and Canonical Normalization

Anton Alexa

We introduce the scalar function $C (v) = π (1 - v^{2} / c^{2})$ as a conformal factor associated, within the model, with longitudinal Lorentz contraction. Extending $C (v)$ to a one-parameter…