24 citations · 94 across the 24 of their papers we have counts for
5 papers · 1 filter
Uniform upper bounds on Courant sharp Neumann eigenvalues of chain domains
Thomas Beck, Yaiza Canzani, Jeremy L. Marzuola
We obtain upper bounds on the number of nodal domains of Laplace eigenfunctions on chain domains with Neumann boundary conditions. The chain domains consist of a family of planar d…
Scaling Limit for the Kernel of the Spectral Projector and Remainder Estimates in the Pointwise Weyl Law
Yaiza Canzani, Boris Hanin
Let (M, g) be a compact smooth Riemannian manifold. We obtain new off-diagonal estimates as λ tend to infinity for the remainder in the pointwise Weyl Law for the kernel of the spe…
High Frequency Eigenfunction Immersions and Supremum Norms of Random Waves
Yaiza Canzani, Boris Hanin
A compact Riemannian manifold may be immersed into Euclidean space by using high frequency Laplace eigenfunctions. We study the geometry of the manifold viewed as a metric space en…
On the distribution of perturbations of propagated Schrödinger eigenfunctions
Yaiza Canzani, Dmitry Jakobson, John Toth
Let be a compact Riemmanian manifold of dimension . Let $P_0 (\h) := -\h^2Δ_{g}+V$ be the semiclassical Schrödinger operator for $\h \in (0,\h_0]$, and let be a re…
On the multiplicity of eigenvalues of conformally covariant operators
Yaiza Canzani
Let be a compact Riemannian manifold and an elliptic, formally self-adjoint, conformally covariant operator of order acting on smooth sections of a bundle over $M…