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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.AP2008★ 7 cited
L^{2}-restriction bounds for eigenfunctions along curves in the quantum completely integrable case
John A. Toth
We show that for a quantum completely integrable system in two dimensions,the -normalized joint eigenfunctions of the commuting semiclassical pseudodifferential operators sa…