@article{a860012d95ab4cb0a363fd25a468cb5f,
title = "Eigenfunctions with Infinitely Many Isolated Critical Points",
abstract = "We construct a Riemannian metric on the 2D torus, such that for infinitely many eigenvalues of the Laplace-Beltrami operator, a corresponding eigenfunction has infinitely many isolated critical points. A minor modification of our construction implies that each of these eigenfunctions has a level set with infinitely many connected components (i.e., a linear combination of two eigenfunctions may have infinitely many nodal domains).",
author = "Lev Buhovsky and Alexander Logunov and Mikhail Sodin",
note = "Publisher Copyright: {\textcopyright} 2019 The Author(s).",
year = "2020",
month = dec,
day = "1",
doi = "10.1093/imrn/rnz181",
language = "אנגלית",
volume = "2020",
pages = "10100--10113",
journal = "International Mathematics Research Notices",
issn = "1073-7928",
publisher = "Oxford University Press",
number = "24",
}