2 papers
math-ph2026
WKB structure in a scalar model of flat bands
Semyon Dyatlov, Henry Zeng, Maciej Zworski
We consider a family of periodic scalar operators for which one can define flat bands in the sense of Floquet-Bloch theory. One puzzling question originating in recent physics lite…
math.AP2025
Semiclassical measures for complex hyperbolic quotients
Jayadev Athreya, Semyon Dyatlov, Nicholas Miller
We study semiclassical measures for Laplacian eigenfunctions on compact complex hyperbolic quotients. Geodesic flows on these quotients are a model case of hyperbolic dynamical sys…