Nodal intersections of random eigenfunctions against a segment on the 2-dimensional torus
نویسندگان
چکیده
منابع مشابه
On the Geometry of the Nodal Lines of Eigenfunctions of the Two-Dimensional Torus
The width of a convex curve in the plane is the minimal distance between a pair of parallel supporting lines of the curve. In this paper we study the width of nodal lines of eigenfunctions of the Laplacian on the standard flat torus. We prove a variety of results on the width, some having stronger versions assuming a conjecture of Cilleruelo and Granville asserting a uniform bound for the numbe...
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ژورنال
عنوان ژورنال: Monatshefte für Mathematik
سال: 2016
ISSN: 0026-9255,1436-5081
DOI: 10.1007/s00605-016-1001-2