211 citations · 1.3k across the 126 of their papers we have counts for
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math.SP2012★ 16 cited
Random orthonormal bases of spaces of high dimension
Steve Zelditch
We consider a sequence H_N of Hilbert spaces of dimensions d_N tending to infinity. The motivating examples are eigenspaces or quasi-mode spaces of a Laplace or Schrodinger operato…
math.SP2012★ 2 cited
Ergodicity and intersections of nodal sets and geodesics on real analytic surfaces
Steve Zelditch
We consider the the intersections of the complex nodal set of the analytic continuation of an eigenfunction of the Laplacian on a real analytic surface with the complexification of…
math.SP2012★ 9 cited
Eigenfunctions and Nodal Sets
S. Zelditch
This is a survey of recent results on eigenfunctions of the Laplacian on compact Riemannian manifolds and their nodal sets. It is the write-up of my talk at JDG 2011.