3 papers
math.SP2025
Quantum unique ergodicity for magnetic Laplacians on T^2
Léo Morin, Gabriel Rivière
Given a smooth integral two-form and a smooth potential on the flat torus of dimension 2, we study the high energy properties of the corresponding magnetic Schrödinger operator. U…
math.AP2025
Sobolev instability for perturbations of periodic transport equations
Gabriel Rivière, Maria Teresa Rotolo
We consider linear and time-dependent perturbations of periodic transport equations on the two-dimensional torus. For generic perturbations, we prove the existence of a large class…
math-ph2025
On the Lebesgue Component of Semiclassical Measures for Abelian Quantum Actions
Gabriel Rivière, Gabriel Rivière, Lasse L. Wolf
For a large class of symplectic integer matrices, the action on the torus extends to a symplectic -action with . We apply this to the study of semiclassical…