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math.SP2026
Uniform High-Frequency Localization on Quantum Graphs
Binh T. Nguyen
We study uniform high-frequency localization for the Laplacian on compact metric graphs through the least -mass that eigenfunctions must place in a prescribed measurable obser…
math.SP2026
Uniform Eigenfunction Observability under Mixed Reflection Monodromy
Binh T. Nguyen
We study uniform observability for Laplace eigenfunctions with mixed boundary conditions whose reflection signs do not define a scalar character. For the DDN/NND sectors of the equ…
math.SP2026
Uniform Non-Localization under Robin Boundary Perturbations: Spectral Splitting and Bounded Eigenspace Complexity
Binh T. Nguyen
We study the high-energy spectral effect of Robin boundary perturbations on complete Laplace eigenspaces and its consequences for eigenfunction non-localization. Highly degenerate…