2 citations · 3 across the 5 of their papers we have counts for
5 papers
Szegő kernel asymptotics and concentration of Husimi Distributions of eigenfunctions
Robert Chang, Abraham Rabinowitz
We work on the boundary of a Grauert tube of a closed, real analytic Riemannian manifold . The Toeplitz operator associated to the Reeb vector…
Scaling asymptotics for Szegő kernels on Grauert tubes
Robert Chang, Abraham Rabinowitz
Let be the Grauert tube of radius of a closed, real analytic manifold . Associated to the Grauert tube boundary is the orthogonal projection $Π_τ\colon L^2(\partial M_…
Log-scale equidistribution of nodal sets in Grauert tubes
Robert Chang, Steve Zelditch
Let be the Grauert tube (of some fixed radius ) of a compact, negatively curved, real analytic Riemannian manifold without boundary. Let be a Laplacian eig…
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 th powers of a positive line bundle over a Kähler manifold. We show…
Quantum ergodicity of Wigner induced spherical harmonics
Robert Chang
We show that a Wigner induced random orthonormal basis of spherical harmonics is almost surely quantum ergodic. Here, a random basis is identified with an element of the product pr…