3 papers
math.SP2026
Quantum mixing for eigenfunctions of rational polygons in configuration space
Kai Hippi, Søren Mikkelsen
The Shnirelman-Zelditch-Colin de Verdière theorem and its weak mixing extension relate quantum ergodicity and quantum mixing with ergodicity and weak mixing of the geodesic flow. I…
math.SP2026
Quantum Mixing and Benjamini-Schramm Convergence of Hyperbolic Surfaces
Kai Hippi
We study compact hyperbolic surfaces and multiplication observables, establishing a large-scale analogue of Zelditch's quantum mixing theorem with hypotheses that hold for both ari…
math.SP2026
Quantum Mixing for Schrödinger eigenfunctions in Benjamini-Schramm limit
Kai Hippi, Félix Lequen, Søren Mikkelsen +2
Let be the Schrödinger operator on where for some . If is a uniformly discrete s…