24 citations · 94 across the 24 of their papers we have counts for
Showing 2022Show all
3 papers · 1 filter
math.AP2022
Asymptotics for the spectral function on Zoll manifolds
Yaiza Canzani, Jeffrey Galkowski, Blake Keeler
Let be a Zoll manifold, i.e., a smooth, compact, Riemannian manifold without boundary all of whose geodesics are closed with a minimal common period . The positive defin…
math.AP2022
Lower bounds for eigenfunction restrictions in lacunary regions
Yaiza Canzani, John A. Toth
Let be a compact, smooth Riemannian manifold and be a sequence of -normalized Laplace eigenfunctions that has a localized defect measure in the sense tha…
math.DS2022
Logarithmic improvements in the Weyl law and exponential bounds on the number of closed geodesics are predominant
Yaiza Canzani, Jeffrey Galkowski
Let be a smooth compact manifold of dimension without boundary. We introduce the concept of predominance for Riemannian metrics on , a notion analogous to full Lebesgue…