24 citations · 94 across the 24 of their papers we have counts for
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math-ph2014★ 11 cited
On the topology of the zero sets of monochromatic random waves
Yaiza Canzani, Peter Sarnak
This note concerns the topology of the connected components of the zero sets of monochromatic random waves on compact Riemannian manifolds without boundary. In [SW] it is shown tha…
math.SP2014★ 24 cited
Scaling Limit for the Kernel of the Spectral Projector and Remainder Estimates in the Pointwise Weyl Law
Yaiza Canzani, Boris Hanin
Let (M, g) be a compact smooth Riemannian manifold. We obtain new off-diagonal estimates as λ tend to infinity for the remainder in the pointwise Weyl Law for the kernel of the spe…
math.SP2014★ 5 cited
High Frequency Eigenfunction Immersions and Supremum Norms of Random Waves
Yaiza Canzani, Boris Hanin
A compact Riemannian manifold may be immersed into Euclidean space by using high frequency Laplace eigenfunctions. We study the geometry of the manifold viewed as a metric space en…