2 papers
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.SP2024
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. Un…