@article{d2cc492e6180414692f05817f8921673,
title = "Almost all eigenfunctions of a rational polygon are uniformly distributed",
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.",
keywords = "Billiards in rational polygons, Pseudo-integrable systems, Quantum ergodicity",
author = "Jens Marklof and Ze{\'e}v Rudnick",
note = "Publisher Copyright: {\textcopyright} European Mathematical Society.",
year = "2012",
doi = "10.4171/JST/23",
language = "אנגלית",
volume = "2",
pages = "107--113",
journal = "Journal of Spectral Theory",
issn = "1664-039X",
publisher = "European Mathematical Society Publishing House",
number = "1",
}