We consider a compact embeddable strictly pseudoconvex CR manifold of hypersurface type.
For a given contact form $\alpha$, let $T$ denote the CR-Toeplitz operator associated to the Reeb vector field and a Reeb invariant volume form. We study random CR functions with respect to eigenvalues of $T$ and show that their normalized zero set measures converge to a multiple of $d\alpha$ when the eigenvalues approach infinity.
This is a joint work with Chin-Yu Hsiao, George Marinescu and Wei-Chuan Shen.
On the Zeros of Random CR Functions
18.11.2024 12:00 - 13:30
Organiser:
Luke Edholm
Location:
BZ09