8 papers
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…
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…
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 and prove that a network of bounded injective operators sati…
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…
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 $Ï\in\math…
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…