Robert Chang

activity

20172022

collaborators

4 papers

math.SP2022

Szegő kernel asymptotics and concentration of Husimi Distributions of eigenfunctions

Robert Chang, Abraham Rabinowitz

We work on the boundary $\partial M_{τ}$ of a Grauert tube of a closed, real analytic Riemannian manifold $M$ . The Toeplitz operator $Π_{τ} D_{ρ} Π_{τ}$ associated to the Reeb vector…

math.SP2021

Scaling asymptotics for Szegő kernels on Grauert tubes

Robert Chang, Abraham Rabinowitz

Let $M_{τ}$ be the Grauert tube of radius $τ$ of a closed, real analytic manifold $M$ . Associated to the Grauert tube boundary is the orthogonal projection $Π_τ\colon L^2(\partial M_…

math.AP2018

Log-scale equidistribution of nodal sets in Grauert tubes

Robert Chang, Steve Zelditch

Let $M_{τ_{0}}$ be the Grauert tube (of some fixed radius $τ_{0}$ ) of a compact, negatively curved, real analytic Riemannian manifold $M$ without boundary. Let $ϕ_{λ}$ be a Laplacian eig…

math.SP2017

Log-scale equidistribution of zeros of quantum ergodic eigensections

Robert Chang, Steve Zelditch

Under suitable hypotheses, a symplectic map can be quantized as a sequence of unitary operators acting on the $N$ th powers of a positive line bundle over a Kähler manifold. We show…