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A note on 3d-monochromatic random waves and cancellation

A note on 3d-monochromatic random waves and cancellation

In this note we prove that the asymptotic variance of the nodal length of complexvalued monochromatic random waves restricted to an increasing domain in R 3 is linear in the volume of the domain.Put together with previous results this shows that a Central Limit Theorem holds true for 3-dimensional monochromatic …