3 papers
math.AP2026
Quantum ergodicity for contact metric structures
Lino Benedetto
This paper is dedicated to the proof of a Quantum Ergodicity (QE) theorem for the eigenfunctions of subLaplacians on contact metric manifolds, under the assumption that the Reeb fl…
math.SP2025
Low-energy eigenstates in a vanishing magnetic field
Lino Benedetto
This paper is dedicated to the spectral analysis of the semiclassical purely magnetic Laplacian on the plane in the situation where the magnetic field vanishes nondegenerately…
math.AP2024
Quantum-classical correspondence and obstruction to dispersion on the Engel group
Lino Benedetto
In this paper, we develop the semiclassical analysis of the lowest dimensional simply connected nilpotent Lie group of step 3, called the Engel group and denoted by .…