Random waves on T3: nodal area variance and lattice point correlations
We consider the ensemble of random Gaussian Laplace eigenfunctions on T3 = R3/Z3 (“3 dimensional arithmetic random waves”), and study the distribution of their nodal surface area. The expected area is proportional to the square root of the eigenvalue, or “energy”, of the eigenfunction. We show that...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
| Published: |
Oxford University Press
2017
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