2 papers
math.AP2025
On the vanishing of eigenfunctions of the Laplacian on tori
Pierre Germain, Iván Moyano, Hui Zhu
Consider an eigenfunction of the Laplacian on a torus. How small can its -norm be on small balls? We provide partial answers to this question by exploiting the distribution of…
math.AP2025
Trace and Observability Inequalities for Laplace Eigenfunctions on the Torus
Nicolas Burq, Pierre Germain, Massimo Sorella +1
We investigate trace and observability inequalities for Laplace eigenfunctions on the d-dimensional torus, with respect to arbitrary Borel measures . Specifically, we character…