Almost all eigenfunctions of a rational polygon are uniformly distributed
classification
🧮 math-ph
math.MPmath.SPnlin.CD
keywords
eigenfunctionspolygonrationalsequencealmostbasisconsidercontains
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We consider an orthonormal basis of eigenfunctions of the Dirichlet Laplacian for a rational polygon. The modulus squared of the eigenfunctions defines a sequence of probability measures. We prove that this sequence contains a density-one subsequence that converges to Lebesgue measure.
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