Y. Canzani

activity

20102026

most citedScaling Limit for the Kernel of the Spectral Projector and Remainder Estimates in the Pointwise Weyl Law

24 citations · 94 across the 24 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.AP2020

Weyl remainders: an application of geodesic beams

Yaiza Canzani, Jeffrey Galkowski

We obtain new quantitative estimates on Weyl Law remainders under dynamical assumptions on the geodesic flow. On a smooth compact Riemannian manifold $(M, g)$ of dimension $n$ , let…

math-ph2020★ 7 cited

A local test for global extrema in the dispersion relation of a periodic graph

Gregory Berkolaiko, Yaiza Canzani, Graham Cox +1

We consider a family of periodic tight-binding models (combinatorial graphs) that have the minimal number of links between copies of the fundamental domain. For this family we esta…

math.AP2020★ 8 cited

Growth of high $L^{p}$ norms for eigenfunctions: an application of geodesic beams

Yaiza Canzani, Jeffrey Galkowski

This work concerns $L^{p}$ norms of high energy Laplace eigenfunctions, $(- Δ_{g} - λ^{2}) ϕ_{λ} = 0$ , $∥ ϕ_{λ} ∥_{L^{2}} = 1$ . In 1988, Sogge gave optimal estimates on the growth of $∥ ϕ_{λ} ∥_{L^{p}}$ f…

Weyl remainders: an application of geodesic beams

A local test for global extrema in the dispersion relation of a periodic graph

Growth of high Lp norms for eigenfunctions: an application of geodesic beams

Growth of high $L^{p}$ norms for eigenfunctions: an application of geodesic beams