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.AP2024
Semiclassical functional calculus on nilpotent Lie groups and their compact nilmanifolds
Véronique Fischer, Søren Mikkelsen
In this paper, we show that the semiclassical calculus recently developed on nilpotent Lie groups and nilmanifolds include the functional calculus of suitable subelliptic operators…