Recognition: unknown
Almost all eigenfunctions of a rational polygon are uniformly distributed
classification
🧮 math-ph
math.MPmath.SPnlin.CD
keywords
eigenfunctionspolygonrationalsequencealmostbasisconsidercontains
read the original abstract
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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.