Measure of the spectra of periodic graph operators in the large-coupling limit
Abstract
We derive a sharp criterion on the spectra of periodic discrete Schrödinger operators acting on connected periodic lattices: the measure of the spectrum goes to zero as the coupling constant goes to infinity if and only if there is no infinite connected path of degeneracies.
Fields of Study & Subjects
Spectral Theory in Mathematical Physics
Graph theory and applications
Advanced Operator Algebra Research
Publication details
- Journal / source
- Journal of Spectral Theory
- Publication date
- 22 September 2026