60 citations · 91 across the 8 of their papers we have counts for
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math-ph2008
Counting open nodal lines of random waves on planar domains
John A. Toth, Igor Wigman
We compute the asymptotic expectation of the number of {\em open} nodal lines for random waves on smooth planar domains. We find that for both the long energy window and th…
math-ph2008★ 27 cited
On the distribution of the nodal sets of random spherical harmonics
Igor Wigman
We study the length of the nodal set of eigenfunctions of the Laplacian on the $\spheredim$-dimensional sphere. It is well known that the eigenspaces corresponding to $\eigval=n(n+…