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 for Schrödinger eigenfunctions in Benjamini-Schramm limit
Kai Hippi, Félix Lequen, Søren Mikkelsen +2
Let be a sequence of compact hyperbolic surfaces which is uniformly discrete and Benjamini-Schramm converges to and let $\{V_n\}_{n\in\mathb…
math.SP2025
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…