34 citations · 193 across the 55 of their papers we have counts for
6 papers · 1 filter
Control From an Interior Hypersurface
Jeffrey Galkowski, Matthieu Léautaud
We consider a compact Riemannian manifold (possibly with boundary) and an interior hypersurface (possibly with boundary). We study observation…
On the growth of eigenfunction averages: microlocalization and geometry
Yaiza Canzani, Jeffrey Galkowski
Let be a smooth, compact Riemannian manifold and an -normalized sequence of Laplace eigenfunctions, . Given a smooth submanifold $H \subset M…
Averages of eigenfunctions over hypersurfaces
Yaiza Canzani, Jeffrey Galkowski, John A. Toth
Let be a compact, smooth, Riemannian manifold and an -normalized sequence of Laplace eigenfunctions with defect measure . Let be a smooth hypersurfa…
Defect measures of eigenfunctions with maximal growth
Jeffrey Galkowski
We study the relationship between growth of eigenfunctions and their concentration as measured by defect measures. In particular, we characterize the defect measur…
Eigenfunction scarring and improvements in bounds
Jeffrey Galkowski, John A. Toth
We study the relationship between growth of eigenfunctions and their concentration as measured by defect measures. In particular, we show that scarring in the sens…
Fractal Weyl laws and wave decay for general trapping
Semyon Dyatlov, Jeffrey Galkowski
We prove a Weyl upper bound on the number of scattering resonances in strips for manifolds with Euclidean infinite ends. In contrast with previous results, we do not make any stron…