211 citations · 1.3k across the 126 of their papers we have counts for
140 papers
Heat and Wave kernel expansions for stationary spacetimes
Alexander Strohmaier, Steve Zelditch
The generator of time-translations on the solution space of the wave equation on stationary spacetimes specialises to the square root of the Laplacian on Riemannian manifolds when…
Stochastic Kähler geometry: from random zeros to random metrics
Bernard Shiffman, Steve Zelditch
We provide a survey of results on the statistics of random sections of holomorphic line bundles on Kähler manifolds, with an emphasis on the resulting asymptotics when a line bundl…
Real-analytic geodesics in the Mabuchi space of Kähler metrics and quantization
Alix Deleporte, Steve Zelditch
We prove the convergence of quantized Bergman geodesics to the Mabuchi geodesics for the initial value problem, in the case of real-analytic initial data and in short time. This pa…
Scaling asymptotics of spectral Wigner functions
Boris Hanin, Steve Zelditch
We prove that smooth Wigner-Weyl spectral sums at an energy level exhibit Airy scaling asymptotics across the classical energy surface . This was proved earlier by the aut…
-nodal domain theorems for higher dimensional circle bundles
Junehyuk Jung, Steve Zelditch
We prove that the real parts of equivariant (but non-invariant) eigenfunctions of generic bundle metrics on nontrivial principal bundles over manifolds of any dimension have…
Restriction of eigenfunctions to totally geodesic submanifolds
Steve Zelditch
This article is about two types of restrictions of eigenfunctions on a compact Riemannian manifold : First, we restrict to a submanifold , and expand the…